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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #142 : How To Find Median

Find the median: [3,9,1,5,0]

Possible Answers:

$\frac{18}{5}$

$\frac{9}{2}$

Correct answer:

Explanation:

Rearrange the numbers from least to greatest.

$[3,9,1,5,0]\rightarrow [0,1,3,5,9]$

The median is the central number of an odd dataset.

The answer is .

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Example Question #144 : How To Find Median

Find the median of first hundred positive integers (i.e through 100 ).

Possible Answers:

50.5

Correct answer:

50.5

Explanation:

This is an even data set and therefore doesn't have any single middle value that separates the data set into two equal smaller sets. Rather, it has two middle values, and . Hence the median is the average of these two numbers. So,

$\frac{50+51}{2}=50.5$

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Example Question #145 : How To Find Median

A test was given to a class of students. Three students scored 100 , two scored , one scored , two scored and two scored . What was the median score of the class?

Possible Answers:

100

Correct answer:

Explanation:

The median is the middle value of the set when arranged in an ascending or descending order.

First we arrange the set of score-

100, 100, 100, 90, 90, 82, 75, 75, 50, 50 .

Since this set has an even number of terms, there is no single middle term but two middle terms and .

So we take the average of the two middle terms which comes out to be .

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Example Question #145 : How To Find Median

A test was given to a class of students. Three students scored 100 , two scored , one scored , two scored , one scored and two scored . What was the median score of the class?

Possible Answers:

78.5

100

Correct answer:

Explanation:

The median is the middle value of the set when arranged in an ascending ot descending order.

First we arrange the set of score-

100, 100, 100, 90, 90, 82, 75, 75, 65, 50, 50 .

Since this set has an odd number of terms, there is a single middle term- the $6^{th}$ term in this case which is .

Hence is the median.

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Example Question #341 : Statistics And Probability

What is the median of the dataset? [-32,-2,-4,8,16,32]

Possible Answers:

$\textup{There is no median.}$

Correct answer:

Explanation:

Reorder the numbers so that they are all in chronological order.

$[-32,-2,-4,8,16,32]\rightarrow[-32,-4,-2,8,16,32]$

Since there is an even amount of numbers in the set, the median is the average of the two center numbers, negative two and eight.

Find the average of these two numbers.

$\frac{-2+8}{2}= \frac{6}{2}=3$

The median is .

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Example Question #146 : How To Find Median

What is the median? $[\frac{3}{8}, \frac{2}{3}, 10, \frac{5}{3}, 2]$

Possible Answers:

$\frac{3}{8}$

$\frac{5}{3}$

$\frac{2}{3}$

$\frac{3}{5}$

Correct answer:

$\frac{5}{3}$

Explanation:

The median is the central number of a chronological ordered set of numbers.

Rewrite the fractions with a least common denominator.

$[\frac{3}{8}, \frac{2}{3}, 10, \frac{5}{3}, 2]\rightarrow [\frac{9}{24},\frac{16}{24},\frac{240}{24},\frac{40}{24},\frac{48}{24}]$

The median is the third largest number.

The answer is: $\frac{5}{3}$

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Example Question #145 : How To Find Median

What is the median of the dataset: $[\frac{1}{2}, \pi, e, \sqrt5]$

Possible Answers:

$\frac{1+2\sqrt5}{4}$

$\frac{\pi +e}{2}$

$\textup{No median.}$

$\frac{\sqrt5+ e}{2}$

$\frac{1+2\sqrt5}{2}$

Correct answer:

$\frac{\sqrt5+ e}{2}$

Explanation:

Reorder the dataset in chronological order. Approximate each irrational number to 2 decimal places.

$\pi = 3.14$

e =2.72

$\sqrt5 = 2.24$

The least to greatest order is: $[\frac{1}{2}, \sqrt5, e, \pi]$

Since there are 4 numbers in the set, the median is the average of the center 2 numbers in the set.

The answer is: $\frac{\sqrt5+ e}{2}$

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Example Question #147 : How To Find Median

Find the median: $[1, \frac{1}{2}, \frac{1}{3}, \frac{1}{5}]$

Possible Answers:

$\frac{3}{20}$

$\frac{12}{5}$

$\frac{5}{12}$

$\frac{3}{2}$

$\frac{2}{3}$

Correct answer:

$\frac{5}{12}$

Explanation:

The median of an even set of data is the average of the two central numbers in a chronological ordered set of numbers.

Organize the numbers from least to greatest.

$[1, \frac{1}{2}, \frac{1}{3}, \frac{1}{5}]\rightarrow [\frac{1}{5}, \frac{1}{3}, \frac{1}{2}, 1]$

Average the two center numbers.

$\frac{\frac{1}{3}+\frac{1}{2}}{2} = \frac{\frac{2}{6}+\frac{3}{6}}{2}$

Add the numerator.

$\frac{\frac{5}{6}}{2}$

Rewrite the complex fraction using a division sign. Use the multiplication property and take the reciprocal of the second term. Multiply the numerator with numerator and denominator with the denominator.

$\frac{5}{6} \div 2 = \frac{5}{6} \times \frac{1}{2} = \frac{5}{12}$

The answer is: $\frac{5}{12}$

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Example Question #1771 : Algebra 1

Find the median: [-13,0,1,13]

Possible Answers:

$\textup{There is no median.}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

The given data set is already in chronological order.

The median is the average of the two numbers in the middle.

Average the center numbers.

$\frac{0+1}{2} = \frac{1}{2}$

The median is $\frac{1}{2}$ .

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Example Question #152 : How To Find Median

Solve for the median: [2,9,10,100]

Possible Answers:

$\frac{19}{2}$

$\textup{There is no median.}$

Correct answer:

$\frac{19}{2}$

Explanation:

The given data set is in chronological order.

Since we are given an even set of data, we will need to average the center two numbers to determine the median.

Average the center two numbers.

$\frac{9+10}{2}=\frac{19}{2}$

The median is: $\frac{19}{2}$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #142 : How To Find Median

Example Question #144 : How To Find Median

Example Question #145 : How To Find Median

Example Question #145 : How To Find Median

Example Question #341 : Statistics And Probability

Example Question #146 : How To Find Median

Example Question #145 : How To Find Median

Example Question #147 : How To Find Median

Example Question #1771 : Algebra 1

Example Question #152 : How To Find Median

All Algebra 1 Resources

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