Analyze Population Variation Data

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Biology › Analyze Population Variation Data

Questions 1 - 10
1

Two populations of the same lizard species were measured for tail length (cm).

Population A tail lengths (cm): minimum 9, maximum 21

Population B tail lengths (cm): minimum 14, maximum 18

Which population shows more variation in tail length, based on range?

Population A, because its tail lengths span a wider range of values.

Population B, because its minimum tail length is longer.

Both populations show the same variation because they are the same species.

Neither population shows variation because each has a single minimum and maximum.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). For example, data showing snail shell lengths: 10mm (2 individuals), 12mm (8), 14mm (25), 16mm (35), 18mm (20), 20mm (7), 22mm (3) reveals continuous variation with mean ~16mm, range 10-22mm, and normal distribution (most near middle, fewer at extremes)—clear evidence of variation within this snail population! Comparing the lizard populations, Population A has a range of 12 cm (21-9) while Population B has only 4 cm (18-14), so Population A shows greater spread in tail length variation. Choice B correctly analyzes the variation data by properly comparing the ranges and identifying Population A as having more variation due to its wider span of values. Choice A incorrectly picks Population B for having a longer minimum, but variation is about the overall spread, not just the starting point—always calculate range as max minus min to compare accurately! Reading variation from data—the data type approach: (1) RAW DATA (list of individual measurements): Count how many different values (shows variation). Find minimum and maximum (calculate range). Notice clustering (most near what value = mean estimate). Example: 150, 155, 160, 165, 165, 170, 170, 170, 175, 180 cm. Range: 180-150 = 30 cm. Most frequent: 170 cm (mode). Clear variation! (2) FREQUENCY TABLE (value, count): Read range (first to last value). Identify most frequent value (highest count = mode). Notice distribution shape (symmetric = normal, asymmetric = skewed). Example: Value 10 (n=3), 15 (n=12), 20 (n=25), 25 (n=10), 30 (n=2). Range: 10-30. Mode: 20 (most common). Bell-shaped (normal distribution). (3) GRAPH (histogram, bar chart): Read axes (trait on x, frequency/count on y). Observe shape (bell = normal continuous, separate bars = discrete). Identify spread (wide graph = high variation, narrow = low variation). Compare heights of bars (tallest = most common). All three data formats reveal variation—just need to read correctly! Comparing variation between populations: which has MORE variation? Population with WIDER range (larger max-min difference). Population with more SPREAD OUT distribution (flatter curve, less peaked). Population with more CATEGORIES (discrete variation). Example: Pop A heights 160-170 cm (range 10 cm, narrow), Pop B heights 140-190 cm (range 50 cm, wide). Pop B has more variation (5× wider range). More variation = more diversity = potentially more adaptability to changes!

2

A lab tested blood types in a sample of 50 people: Type A = 18, Type B = 9, Type AB = 3, Type O = 20. Which conclusion best describes the variation in this trait?

Blood type shows continuous variation because the counts include many numbers.

There is no variation because Type O is the most common.

Blood type shows discrete variation because individuals fall into one of four categories.

Blood type shows a normal distribution because Type AB is rare.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). The blood type data shows: Type A (18), Type B (9), Type AB (3), Type O (20)—these are four distinct categories with no intermediate forms (you can't be "halfway between Type A and Type B"), making this classic discrete variation where each individual belongs to exactly one category. Choice B correctly identifies blood type as showing discrete variation because individuals fall into one of four distinct categories (A, B, AB, or O)—there are no in-between values or continuous range, just separate groups, which defines discrete (discontinuous) variation. Choice A incorrectly calls this continuous variation; Choice C wrongly claims no variation when four different blood types clearly exist; Choice D misapplies the concept of normal distribution to discrete categories—rarity of AB doesn't make the distribution normal. Reading variation from data—the data type approach: To identify discrete vs continuous variation, ask: "Can there be in-between values?" For blood types, you're either Type A or Type B, never "Type A-and-a-half"—that's discrete! The different frequencies (O most common at 20, AB least common at 3) show how discrete traits can still have variation in their distribution across the population.

3

A biologist measured the beak depth (in mm) of 80 finches on one island and recorded the frequencies below. Which statement best describes the type of variation and the distribution pattern shown?

Beak depth (mm) → Number of finches

7 → 2

8 → 6

9 → 14

10 → 22

11 → 18

12 → 12

13 → 5

14 → 1

Continuous variation with most individuals near the middle values (approximately bell-shaped)

No variation because all finches have similar beak depths

Discrete variation with three distinct categories and no intermediates

Bimodal distribution with two equal peaks at 7 mm and 14 mm

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). Looking at the finch beak depth data: values range continuously from 7 mm to 14 mm with all intermediate values present (8, 9, 10, 11, 12, 13), and the frequency pattern shows most finches clustered around the middle values (10 mm has 22 finches, 11 mm has 18 finches) with fewer at the extremes (only 2 at 7 mm, only 1 at 14 mm)—this is the classic bell-shaped normal distribution of continuous variation! Choice B correctly identifies both the continuous nature of the variation (beak depths show a smooth range with intermediates) and the approximately bell-shaped distribution with most individuals near the middle values. Choice A incorrectly claims discrete variation when the data clearly shows continuous values, Choice C wrongly denies variation despite the 7 mm range, and Choice D misidentifies the pattern as bimodal when there's clearly one peak around 10-11 mm, not two equal peaks.

4

A researcher counts the number of spots on 50 ladybugs. Results:

Spots → Number of ladybugs

  • 0: 5
  • 2: 9
  • 4: 15
  • 6: 14
  • 8: 6
  • 10: 1

Which statement best describes the variation in number of spots?

No variation, because most ladybugs have 4 or 6 spots.

Discrete variation, because spot number is counted in whole-number categories.

Bimodal variation, because there are exactly two spot-number categories.

Continuous variation, because spot number can take any value between 0 and 10.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). For example, data showing snail shell lengths: 10mm (2 individuals), 12mm (8), 14mm (25), 16mm (35), 18mm (20), 20mm (7), 22mm (3) reveals continuous variation with mean ~16mm, range 10-22mm, and normal distribution (most near middle, fewer at extremes)—clear evidence of variation within this snail population! The ladybug spot data (0:5, 2:9, 4:15, 6:14, 8:6, 10:1) uses whole-number counts in distinct categories without fractions, showing discrete variation with a multimodal distribution centered around 4 and 6 spots. Choice B correctly analyzes the variation data by recognizing the discrete pattern where spots are counted in whole numbers, accurately describing the categorical nature. Choice A misidentifies it as continuous, but spot numbers don't have smooth intermediates like 1.5 spots—discrete traits are countable and categorical, so keep that distinction in mind! Reading variation from data—the data type approach: (1) RAW DATA (list of individual measurements): Count how many different values (shows variation). Find minimum and maximum (calculate range). Notice clustering (most near what value = mean estimate). Example: 150, 155, 160, 165, 165, 170, 170, 170, 175, 180 cm. Range: 180-150 = 30 cm. Most frequent: 170 cm (mode). Clear variation! (2) FREQUENCY TABLE (value, count): Read range (first to last value). Identify most frequent value (highest count = mode). Notice distribution shape (symmetric = normal, asymmetric = skewed). Example: Value 10 (n=3), 15 (n=12), 20 (n=25), 25 (n=10), 30 (n=2). Range: 10-30. Mode: 20 (most common). Bell-shaped (normal distribution). (3) GRAPH (histogram, bar chart): Read axes (trait on x, frequency/count on y). Observe shape (bell = normal continuous, separate bars = discrete). Identify spread (wide graph = high variation, narrow = low variation). Compare heights of bars (tallest = most common). All three data formats reveal variation—just need to read correctly! Comparing variation between populations: which has MORE variation? Population with WIDER range (larger max-min difference). Population with more SPREAD OUT distribution (flatter curve, less peaked). Population with more CATEGORIES (discrete variation). Example: Pop A heights 160-170 cm (range 10 cm, narrow), Pop B heights 140-190 cm (range 50 cm, wide). Pop B has more variation (5× wider range). More variation = more diversity = potentially more adaptability to changes!

5

A biologist measures beak depth (in mm) in a population of 100 finches. The frequency distribution is shown below.

Beak depth (mm) → Number of finches

  • 7: 4
  • 8: 12
  • 9: 26
  • 10: 30
  • 11: 20
  • 12: 6
  • 13: 2

Which statement best describes the pattern of variation in beak depth?

The distribution is bimodal because there are two peaks of equal height.

The trait shows discrete variation because there are only two beak-depth types.

The trait shows continuous variation with most individuals near 10 mm, forming a roughly bell-shaped distribution.

There is no variation because most finches have the same beak depth.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). For example, data showing snail shell lengths: 10mm (2 individuals), 12mm (8), 14mm (25), 16mm (35), 18mm (20), 20mm (7), 22mm (3) reveals continuous variation with mean ~16mm, range 10-22mm, and normal distribution (most near middle, fewer at extremes)—clear evidence of variation within this snail population! In this finch beak-depth data, the frequencies (7 mm: 4, 8: 12, 9: 26, 10: 30, 11: 20, 12: 6, 13: 2) show a range of 6 mm (13-7), with values forming a smooth continuum and most birds near 10 mm, decreasing toward the extremes, indicating continuous variation in a bell-shaped pattern. Choice B correctly analyzes the variation data by recognizing the continuous nature, the central clustering around 10 mm, and the roughly bell-shaped distribution that demonstrates clear variation across the population. A common distractor like choice C fails by denying variation due to the majority having similar values, but remember, variation exists as long as there are differences, even if most are near the mean—here, depths span 7 to 13 mm with intermediates, so there is definitely variation to analyze! Reading variation from data—the data type approach: (1) RAW DATA (list of individual measurements): Count how many different values (shows variation). Find minimum and maximum (calculate range). Notice clustering (most near what value = mean estimate). Example: 150, 155, 160, 165, 165, 170, 170, 170, 175, 180 cm. Range: 180-150 = 30 cm. Most frequent: 170 cm (mode). Clear variation! (2) FREQUENCY TABLE (value, count): Read range (first to last value). Identify most frequent value (highest count = mode). Notice distribution shape (symmetric = normal, asymmetric = skewed). Example: Value 10 (n=3), 15 (n=12), 20 (n=25), 25 (n=10), 30 (n=2). Range: 10-30. Mode: 20 (most common). Bell-shaped (normal distribution). (3) GRAPH (histogram, bar chart): Read axes (trait on x, frequency/count on y). Observe shape (bell = normal continuous, separate bars = discrete). Identify spread (wide graph = high variation, narrow = low variation). Compare heights of bars (tallest = most common). All three data formats reveal variation—just need to read correctly! Comparing variation between populations: which has MORE variation? Population with WIDER range (larger max-min difference). Population with more SPREAD OUT distribution (flatter curve, less peaked). Population with more CATEGORIES (discrete variation). Example: Pop A heights 160-170 cm (range 10 cm, narrow), Pop B heights 140-190 cm (range 50 cm, wide). Pop B has more variation (5× wider range). More variation = more diversity = potentially more adaptability to changes!

6

Two populations of the same plant species were measured for stem height.

Population A (cm): minimum 12, maximum 42

Population B (cm): minimum 18, maximum 28

Which statement is best supported by these data?

Population B has greater variation in stem height because its minimum is higher

Both populations have the same variation because they are the same species

Neither population shows variation because only minimum and maximum are listed

Population A has greater variation in stem height because it has a wider range of values

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). Comparing the two populations: Population A has a range of 42 - 12 = 30 cm, while Population B has a range of 28 - 18 = 10 cm, meaning Population A shows three times more variation in stem height. Choice B correctly identifies that Population A has greater variation because it has a wider range of values (30 cm vs 10 cm), demonstrating proper understanding of how range indicates variation level. Choice A incorrectly focuses on the minimum value rather than the range, C wrongly assumes same species means same variation (populations can differ!), and D misunderstands that minimum and maximum values are sufficient to calculate range and assess variation. When comparing variation between populations, always calculate and compare ranges—the population with the larger range has more variation, indicating greater diversity in that trait!

7

A class measured the mass (g) of 40 seeds from one plant population. The results were grouped:

Mass (g) → Number of seeds

  • 0.8–0.9: 2
  • 0.9–1.0: 6
  • 1.0–1.1: 14
  • 1.1–1.2: 12
  • 1.2–1.3: 5
  • 1.3–1.4: 1

Which statement best matches the distribution pattern?

Most seeds are near 1.0–1.2 g, suggesting a roughly normal (bell-shaped) distribution.

The distribution is bimodal because there are two adjacent bins with high counts.

The data show no variation because all seeds fall between 0.8 and 1.4 g.

The data are discrete because mass can only take whole-number values.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). For example, data showing snail shell lengths: 10mm (2 individuals), 12mm (8), 14mm (25), 16mm (35), 18mm (20), 20mm (7), 22mm (3) reveals continuous variation with mean ~16mm, range 10-22mm, and normal distribution (most near middle, fewer at extremes)—clear evidence of variation within this snail population! The seed mass data, binned from 0.8–1.4 g with highest counts in 1.0–1.1 (14) and 1.1–1.2 (12), shows a range of 0.6 g and a peak in the middle bins, forming a roughly normal bell-shaped distribution for this continuous trait. Choice A correctly analyzes the variation data by recognizing the clustering near 1.0–1.2 g and the bell-shaped pattern, which indicates continuous variation with a normal distribution. Choice B denies variation despite the spread across bins, but even a narrow range like 0.8–1.4 g shows differences—variation is present as long as not all values are identical, so look for any spread! Reading variation from data—the data type approach: (1) RAW DATA (list of individual measurements): Count how many different values (shows variation). Find minimum and maximum (calculate range). Notice clustering (most near what value = mean estimate). Example: 150, 155, 160, 165, 165, 170, 170, 170, 175, 180 cm. Range: 180-150 = 30 cm. Most frequent: 170 cm (mode). Clear variation! (2) FREQUENCY TABLE (value, count): Read range (first to last value). Identify most frequent value (highest count = mode). Notice distribution shape (symmetric = normal, asymmetric = skewed). Example: Value 10 (n=3), 15 (n=12), 20 (n=25), 25 (n=10), 30 (n=2). Range: 10-30. Mode: 20 (most common). Bell-shaped (normal distribution). (3) GRAPH (histogram, bar chart): Read axes (trait on x, frequency/count on y). Observe shape (bell = normal continuous, separate bars = discrete). Identify spread (wide graph = high variation, narrow = low variation). Compare heights of bars (tallest = most common). All three data formats reveal variation—just need to read correctly! Comparing variation between populations: which has MORE variation? Population with WIDER range (larger max-min difference). Population with more SPREAD OUT distribution (flatter curve, less peaked). Population with more CATEGORIES (discrete variation). Example: Pop A heights 160-170 cm (range 10 cm, narrow), Pop B heights 140-190 cm (range 50 cm, wide). Pop B has more variation (5× wider range). More variation = more diversity = potentially more adaptability to changes!

8

A scientist compared seed mass in two plant populations.

Population 1 (g): 0.8, 0.9, 1.0, 1.0, 1.1, 1.2

Population 2 (g): 0.6, 0.7, 1.0, 1.3, 1.5, 1.6

Which statement is correct about variation in seed mass?

Population 1 shows more variation because its values are closer together.

Population 2 shows more variation because it has a wider spread of values.

Both populations show the same variation because they each have 6 measurements.

Neither population shows variation because both include 1.0 g.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). Comparing seed mass variation: Population 1 ranges from 0.8 to 1.2 g (range = 1.2 - 0.8 = 0.4 g), while Population 2 ranges from 0.6 to 1.6 g (range = 1.6 - 0.6 = 1.0 g)—Population 2's range is 2.5 times larger, indicating much more variation in seed mass! Choice B correctly identifies Population 2 as having more variation because it has a wider spread of values (1.0 g range vs 0.4 g range)—the seeds in Population 2 vary from very light (0.6 g) to quite heavy (1.6 g), while Population 1's seeds are all similar in mass (clustered between 0.8-1.2 g). Choice A reverses the correct answer; Choice C incorrectly assumes equal sample sizes mean equal variation; Choice D misunderstands that sharing one value (1.0 g) doesn't eliminate variation. Reading variation from data—the data type approach: When comparing raw data between populations, calculate ranges to quantify variation. Population 2's seeds show more diversity in mass (0.6 to 1.6 g), which could indicate adaptation to different dispersal methods or environmental conditions, while Population 1's more uniform seeds (0.8 to 1.2 g) suggest more similar selective pressures or less genetic diversity for this trait!

9

In a survey of 120 flowers in one meadow, the following petal colors were recorded: Red = 46, White = 28, Pink = 44, Yellow = 2. Which description best matches the type of variation shown for petal color?

No variation, because all flowers are in the same meadow.

Continuous variation, because the numbers form a smooth range of values.

Discrete variation, because individuals fall into distinct color categories.

Normal (bell-shaped) distribution, because most flowers are pink.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). The flower data shows four distinct color categories: Red (46), White (28), Pink (44), Yellow (2)—this is classic discrete variation because flowers fall into separate, distinct categories with no intermediate forms (a flower is either red OR white OR pink OR yellow, not somewhere between these colors). Choice C correctly identifies this as discrete variation because individuals fall into distinct color categories—there are no intermediate values like "reddish-white" or "pinkish-yellow," just four separate groups, which is the defining characteristic of discrete (also called discontinuous) variation. Choice A incorrectly calls this continuous variation when colors are clearly separate categories; Choice B wrongly claims no variation when four different colors clearly exist; Choice D confuses the distribution pattern with variation type—having one category more common doesn't make it bell-shaped or continuous. Reading variation from data—the data type approach: When analyzing variation, ask yourself: Can individuals have in-between values? For petal color, flowers can't be "halfway between red and white"—they're one color or another, making this discrete variation. Discrete traits typically involve distinct categories (blood types, flower colors, presence/absence of features), while continuous traits show smooth ranges (height, weight, temperature). The presence of multiple categories (4 colors) clearly demonstrates variation exists in this population!

10

Two groups of the same bird species were measured for wing length (cm).

Group 1 wing lengths (cm): 18, 19, 19, 20, 20, 21, 21, 22

Group 2 wing lengths (cm): 16, 18, 20, 22, 24, 26, 28, 30

Which group shows greater variation in wing length?

Neither group shows variation because wing length is a continuous trait.

Group 1, because most values are close to 20 cm.

Both groups show the same variation because they each have 8 birds.

Group 2, because its wing lengths span a wider range of values.

Explanation

This question tests your ability to analyze population data to identify and describe variation—the differences among individuals in traits like height, color, size, or other characteristics. Population variation can be recognized and quantified from data in several ways: (1) RANGE shows the spread of variation (maximum value minus minimum value—if heights go from 150 cm to 190 cm, range = 40 cm, indicating substantial variation), (2) DISTRIBUTION PATTERN shows how trait values are distributed across the population, either CONTINUOUS VARIATION (trait shows smooth range with many intermediate values, often forming bell-shaped normal distribution where most individuals near the mean/average with fewer at extremes—example: height, weight, beak depth) or DISCRETE VARIATION (trait shows distinct categories with no intermediates—example: blood types A/B/AB/O, flower colors red/white/pink, four separate categories). (3) FREQUENCY DATA shows how many individuals have each trait value (histogram or frequency table), revealing whether variation is wide (many different values, spread out) or narrow (most individuals similar, clustered). For example, data showing snail shell lengths: 10mm (2 individuals), 12mm (8), 14mm (25), 16mm (35), 18mm (20), 20mm (7), 22mm (3) reveals continuous variation with mean ~16mm, range 10-22mm, and normal distribution (most near middle, fewer at extremes)—clear evidence of variation within this snail population! For these bird groups, Group 1 has a narrow range of 22 - 18 = 4 cm and clustered values, while Group 2 spans 30 - 16 = 14 cm with more spread, showing greater variation. Choice B rightly points to Group 2's wider range, whereas Choice A sees clustering as less variation—wider spread means more diversity. Compare by calculating ranges and noting spread; you're excelling at this, keep practicing comparisons!

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