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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #11 : Data Properties

Find the range of the following set of data.

14, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, 63

Possible Answers:

Correct answer:

Explanation:

To find the range of a set subtract the smallest number in the set from the largest number in the set:

${\color{Blue} 14}, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, {\color{Green} 63}$

The largest number is in green:

The smallest number is in blue:

Therefore the range is their difference,

63-14=49 .

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Example Question #111 : Algebra Ii

Find the range of the set:

2, 3, 5, 8, 13, 21, 34, 55

Possible Answers:

Correct answer:

Explanation:

To find the range of a set subtract the smallest number in the set from the largest number in the set:

${\color{Blue} 2}, 3, 5, 8, 13, 21, 34, {\color{Green} 55}$

The largest number is in green:

The smallest number is in blue:

Therefore the range is their difference,

55-2=53

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Example Question #81 : Basic Statistics

Find the range of the set:

15, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, 36

Possible Answers:

Correct answer:

Explanation:

To find the range of a set subtract the smallest number in the set from the largest number in the set:

${\color{Blue}15}, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, {\color{Green}36}$

The largest number is in green:

The smallest number is in blue:

Therefore the range is their difference,

36-15=21 .

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Example Question #12 : Data Properties

What is the range of the following data set?

45,35,22,1,6,22,98,103,49

Possible Answers:

104

102

Correct answer:

102

Explanation:

What is the range of the following data set?

45,35,22,1,6,22,98,103,49

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

R=103-1=102

So our range is 102

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Example Question #81 : Basic Statistics

Find the range of the following dataset: x= [2,-5,-7,-10,6]

Possible Answers:

Correct answer:

Explanation:

The range is the difference of the largest and the smallest number.

The largest number in this set is . The smallest number in this set is .

Subtract these numbers.

6-(-10 ) = 6+10 =16

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Example Question #14 : Data Properties

Find the range of the dataset. a=[{-3,9,33,-23,4,0,-4,-8,-6}]

Possible Answers:

Correct answer:

Explanation:

The range of the dataset is the difference of the highest and lowest numbers. Determine the highest number. The highest number in the set is .

The lowest number is .

Subtract these numbers.

33-(-23) = 56

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Example Question #15 : Data Properties

Find the range of the dataset: $a = [\frac{1}{4}, \frac{5}{6} , \frac{2}{3},\frac{3}{8} ]$

Possible Answers:

$\frac{3}{4}$

$\frac{5}{12}$

$\frac{1}{8}$

$\frac{11}{24}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

The range is the difference of the highest and lowest number. In order to determine the highest and lowest fraction in the dataset, we must convert each fraction to a like denominator and compare.

The least common denominator for these fractions is . Reconvert all fractions with a denominator of 24 in order to compare numerators. Multiply the numerators with what was multiplied on the denominator to get the least common denominator.

$a = [\frac{1}{4}, \frac{5}{6} , \frac{2}{3},\frac{3}{8} ] = [\frac{6}{24}, \frac{20}{24} , \frac{16}{24},\frac{9}{24} ]$

The largest number is: $\frac{5}{6}$ or $\frac{20}{24}$

The smallest number is: $\frac{1}{4}$ or $\frac{6}{24}$

Subtract these numbers.

$\frac{20}{24}-\frac{6}{24} = \frac{14}{24} = \frac{7}{12}$

The range is: $\frac{7}{12}$

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Example Question #13 : Data Properties

Find the range of the following data set:

1,43,117,42,2952,54,18,97,112,23,117

Possible Answers:

2953

325

2951

Correct answer:

2951

Explanation:

Find the range of the following data set:

1,43,117,42,2952,54,18,97,112,23,117

The range is simply the distance between the largest and smallest value.

Let's begin by finding our two extreme values:

Largest: 2952

Smallest: 1

Range=2952-1=2951

So our range is 2951

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Example Question #111 : Algebra Ii

Find the range of this data set:

145,57,223,76,453,123,979,57,76,233,435,76

Possible Answers:

922

244

134

Correct answer:

922

Explanation:

Find the range of this data set:

145,57,223,76,453,123,979,57,76,233,435,76

To begin, let's put our numbers in increasing order:

57,57,76,76,76,123,145,223,233,435,453,979

Next, find the difference between our largest and smallest number. This is our range:

979-57=922

So our answer is 922

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Example Question #45 : Basic Statistics

Find the range of the following data set:

66,123,44,78,99,67,143,44,107,12,578,12,67,367,44

Possible Answers:

156

566

Correct answer:

566

Explanation:

Find the range of the following data set:

66,123,44,78,99,67,143,44,107,12,578,12,67,367,44

Let's begin by putting our data in increasing order:

12,12,44,44,44,66,67,67,78,99,107,123,143,367,578

Next, find the difference between our first and last numbers. This will be our range.

578-12=566

So our answer is 566

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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #11 : Data Properties

Example Question #111 : Algebra Ii

Example Question #81 : Basic Statistics

Example Question #12 : Data Properties

Example Question #81 : Basic Statistics

Example Question #14 : Data Properties

Example Question #15 : Data Properties

Example Question #13 : Data Properties

Example Question #111 : Algebra Ii

Example Question #45 : Basic Statistics

All Algebra II Resources

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