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SAT II Math II : Data Analysis and Statistics

Study concepts, example questions & explanations for SAT II Math II

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All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Data Analysis And Statistics

Determine the median of the numbers: $\displaystyle [7,14,23,-52]$

Possible Answers:

$\frac{37}{2}$ $\displaystyle \frac{37}{2}$

$\displaystyle 8$

$\displaystyle -2$

$\frac{39}{2}$ $\displaystyle \frac{39}{2}$

$\frac{21}{2}$ $\displaystyle \frac{21}{2}$

Correct answer:

$\frac{21}{2}$ $\displaystyle \frac{21}{2}$

Explanation:

Order the data set from least to greatest.

$[7,14,23,-52] \to [-52,7,14,23]$ $\displaystyle [7,14,23,-52] \to [-52,7,14,23]$

The median is the average of the two central numbers for an even amount of numbers in the data set.

$\frac{7+14}{2} =\frac{21}{2}$ $\displaystyle \frac{7+14}{2} =\frac{21}{2}$

The answer is: $\frac{21}{2}$ $\displaystyle \frac{21}{2}$

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Example Question #12 : Data Analysis And Statistics

Determine the median of the following numbers: $\displaystyle [9,3,6,7,8,10,15]$

Possible Answers:

$\frac{19}{2}$ $\displaystyle \frac{19}{2}$

$\displaystyle 8$

$\textup{There is no median.}$ $\displaystyle \textup{There is no median.}$

$\displaystyle 9$

$\frac{15}{2}$ $\displaystyle \frac{15}{2}$

Correct answer:

$\displaystyle 8$

Explanation:

Organize the numbers from least to greatest.

$[9,3,6,7,8,10,15]\rightarrow [ 3,6,7,8,9,10,15]$ $\displaystyle [9,3,6,7,8,10,15]\rightarrow [ 3,6,7,8,9,10,15]$

The median of an odd set of numbers is the central number.

The answer is: $\displaystyle 8$

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Example Question #13 : Data Analysis And Statistics

Find the mode of the following data set:

$\displaystyle 33,67,87,23,45,55,136,67,93$

Possible Answers:

$\displaystyle 67$

$\displaystyle 55$

67.33 $\displaystyle 67.33$

113 $\displaystyle 113$

Correct answer:

$\displaystyle 67$

Explanation:

Find the mode of the following data set:

$\displaystyle 33,67,87,23,45,55,136,67,93$

The mode will be the most repeated number. To find it, simply see which number appears most.

In this case, we have two 67's, and only 1 of each other term.

Therefore, our mode is 67.

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Example Question #484 : Sat Subject Test In Math Ii

Determine the mode of the following numbers: $\displaystyle [-1,-3,-1,-2,6,6,7]$

Possible Answers:

$\displaystyle -1$

$\frac{5}{2}$ $\displaystyle \frac{5}{2}$

$\frac{12}{7}$ $\displaystyle \frac{12}{7}$

$\displaystyle 12$

-1, 6 $\displaystyle -1, 6$

Correct answer:

-1, 6 $\displaystyle -1, 6$

Explanation:

The mode is defined as the number or numbers that has the highest frequency in the data set.

The numbers -1, 6 $\displaystyle -1, 6$ appear in the data set twice, while the other numbers appear once.

This means that the mode is: -1, 6 $\displaystyle -1, 6$

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Example Question #14 : Data Analysis And Statistics

Calculate the mode: $\displaystyle [3,13,26,41]$

Possible Answers:

$\displaystyle 41$

$\frac{39}{2}$ $\displaystyle \frac{39}{2}$

$\frac{83}{4}$ $\displaystyle \frac{83}{4}$

$\displaystyle 3$

$\textup{No mode.}$ $\displaystyle \textup{No mode.}$

Correct answer:

$\textup{No mode.}$ $\displaystyle \textup{No mode.}$

Explanation:

The definition of mode is the number or numbers that have the highest frequency in a data set.

There is only one of each number given in the data set.

This means that there is no mode.

The answer is: $\textup{No mode.}$ $\displaystyle \textup{No mode.}$

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Example Question #15 : Data Analysis And Statistics

Determine the mode: $[\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, 1]$ $\displaystyle [\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, 1]$

Possible Answers:

$\displaystyle 1$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\textup{No mode.}$ $\displaystyle \textup{No mode.}$

$\frac{25}{12}$ $\displaystyle \frac{25}{12}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Correct answer:

$\textup{No mode.}$ $\displaystyle \textup{No mode.}$

Explanation:

The mode includes all numbers that have more than one frequency. Since every number only occurs once in the set of data, there is no mode.

The answer is: $\textup{No mode.}$ $\displaystyle \textup{No mode.}$

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Example Question #16 : Data Analysis And Statistics

Determine the mode of the numbers: $\displaystyle [3,3,6,6,9,20]$

Possible Answers:

$\displaystyle 18$

$\displaystyle 6$

3,6 $\displaystyle 3,6$

$\textup{There is no mode.}$ $\displaystyle \textup{There is no mode.}$

$\frac{9}{2}$ $\displaystyle \frac{9}{2}$

Correct answer:

3,6 $\displaystyle 3,6$

Explanation:

The mode includes all numbers that have the highest frequency.

The numbers three and six occur twice, while the other numbers appear once.

The answer is: 3,6 $\displaystyle 3,6$

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Example Question #17 : Data Analysis And Statistics

Find the range of the following data set:

$\displaystyle 33,67,87,23,45,55,136,67,93$

Possible Answers:

$\displaystyle 23$

$\displaystyle 55$

113 $\displaystyle 113$

$\displaystyle 67$

Correct answer:

113 $\displaystyle 113$

Explanation:

Find the range of the following data set:

$\displaystyle 33,67,87,23,45,55,136,67,93$

To find the range, find the difference between the largest and smallest values.

Largest: 136

Smallest:23

$\displaystyle 136-23=113$

So our range is 113

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Example Question #18 : Data Analysis And Statistics

Determine the range of the numbers. $\displaystyle [81,32,11,85,81]$

Possible Answers:

$\displaystyle 62$

$\displaystyle 4$

$\displaystyle 70$

$\displaystyle 74$

$\displaystyle 0$

Correct answer:

$\displaystyle 74$

Explanation:

The range of the numbers is the difference between the largest and smallest numbers.

The largest number is 85.

The smallest number is 11.

Subtract both numbers.

$\displaystyle 85-11 = 74$

The answer is: $\displaystyle 74$

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Example Question #20 : Data Analysis And Statistics

Determine the range of the numbers: $\displaystyle [-19,-17,-39,44]$

Possible Answers:

$\displaystyle 73$

$\displaystyle 5$

$\displaystyle 27$

$\displaystyle 61$

$\displaystyle 83$

Correct answer:

$\displaystyle 83$

Explanation:

To find the range, subtract the highest with the lowest number provided in the set of numbers.

The highest number is 44.

The smallest number is $\displaystyle -39$.

Subtract both quantities.

$\displaystyle 44-(-39) = 44+39 = 83$

The answer is: $\displaystyle 83$

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All SAT II Math II Resources

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SAT II Math II : Data Analysis and Statistics

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #11 : Data Analysis And Statistics

Example Question #12 : Data Analysis And Statistics

Example Question #13 : Data Analysis And Statistics

Example Question #484 : Sat Subject Test In Math Ii

Example Question #14 : Data Analysis And Statistics

Example Question #15 : Data Analysis And Statistics

Example Question #16 : Data Analysis And Statistics

Example Question #17 : Data Analysis And Statistics

Example Question #18 : Data Analysis And Statistics

Example Question #20 : Data Analysis And Statistics

All SAT II Math II Resources

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