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SAT II Math I : Data Analysis and Statistics

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

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All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Mean

Find the mean of the following set:

41,38,27,42,35,38,44

Possible Answers:

34.9

37.9

31.7

Correct answer:

37.9

Explanation:

Another word for mean is average. To find the average of this set of numbers, add them up, then divide by the amount of numbers in the set. In this case there are 7 numbers in the set, meaning we will divide our answer by 7.

$\frac{41+38+27+42+35+38+44}{7}=\frac{265}{7}=37.9$

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Example Question #22 : Mean

Find the mean of the following set:

6,91,12,31,12

Possible Answers:

30.4

25.3

24.6

Correct answer:

30.4

Explanation:

Another word for mean is average. To find the average of this set of numbers, add them up, then divide by the amount of numbers in the set. In this case there are 5 numbers in the set, meaning we will divide our answer by 5.

$\frac{6+91+12+31+12}{5}=\frac{152}{5}=30.4$

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Example Question #23 : Mean

Determine the mean of the following numbers: [4,1,25,2,10,15]

Possible Answers:

$\frac{19}{2}$

$\frac{57}{3}$

$\frac{25}{2}$

Correct answer:

$\frac{19}{2}$

Explanation:

The mean is the average of all the numbers in the set of data.

Add all the numbers and divide by 6.

$\frac{4+1+25+2+10+15}{6} = \frac{57}{6} = \frac{19\times 3}{2\times 3}$

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

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Example Question #24 : Data Analysis And Statistics

Determine the mean of the numbers: [9,-6,-3,-11]

Possible Answers:

$\textup{The mean does not exist.}$

$\frac{11}{4}$

$\frac{29}{4}$

$-\frac{11}{4}$

Correct answer:

$-\frac{11}{4}$

Explanation:

The mean is the average of all the numbers in the data set.

Add the numbers provided.

9+(-6)+(-3)+(-11) = -11

Divide this value by four.

$\frac{-11}{4}$

The answer is: $-\frac{11}{4}$

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Example Question #24 : Data Analysis And Statistics

Determine the mean of the following numbers: [-2,-6,11,13,2,0]

Possible Answers:

$\frac{18}{5}$

$\frac{17}{3}$

Correct answer:

Explanation:

The mean is the average of all the numbers in the data set.

Add all the numbers and divide by six.

-2+(-6)+11+13+2+0 = 18

$\frac{18}{6}=3$

The answer is:

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Example Question #1 : Median

What is the median of 13, 12, 22, 7, 7, 8, 13, 27, 30?

Possible Answers:

Correct answer:

Explanation:

The median is middle number of a set, when the numbers are arranged in order from least to greatest.

In our case we re arrange our numbers in the following fashion:

7, 7, 8, 12, 13, 13, 22, 27, 30

The middle number in our case is the 5th entry.

Therefore, the median is 13

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Example Question #2 : Median

What is the median of 3, 7, 6, 11, 14, 9?

Possible Answers:

Correct answer:

Explanation:

The median is the middle number in a set of numbers when arranged in order from least to greatest.

In our case we get

3, 6, 7, 9, 11, 14

This set has two middle numbers 7 and 9. From here we need to find the average between these two numbers to find our median:

$\frac{7+9}{2}=\frac{16}{2}=8$

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Example Question #3 : Median

What's the median?

13, 2, 16, 8, 34, 26

Possible Answers:

14.5

11.5

Correct answer:

14.5

Explanation:

Median is to find the middle number arranging from smallest to greatest. So we have 2, 8, 13, 16, 26, 34 . The two middle numbers in the set is 13, 16 . We then find the average which is $\frac{29}{2}$ or 14.5 .

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Example Question #1 : Median

If the lowest value in a set was decreased and the highest value in the same set was increased, how would that affect the median?

Possible Answers:

Not enough information to give an adequate answer

It would decrease

It would stay the same

It would increase

Correct answer:

It would stay the same

Explanation:

The median is the middle number of a set. If the same amount of values are used and the actual middle number is not changed, the median of the set will not change. Changing the actual values of the two extremes did not change them position wise in the set when placed in value order.

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Example Question #1 : Univariate Data

Let be a positive integer.

Find the median of the set.

b,3b,5b,7b,9b,11b,13b,15b

Possible Answers:

10b

11b

Correct answer:

Explanation:

The median is the middle value of the set in increasing order.

In this set of 8 (or any even number) entries, the median is the mean of the two middle entries of the set in increasing order

$\frac{7b+9b}{2}$

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All SAT II Math I Resources

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SAT II Math I : Data Analysis and Statistics

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

All SAT II Math I Resources

Example Questions

Example Question #21 : Mean

Example Question #22 : Mean

Example Question #23 : Mean

Example Question #24 : Data Analysis And Statistics

Example Question #24 : Data Analysis And Statistics

Example Question #1 : Median

Example Question #2 : Median

Example Question #3 : Median

Example Question #1 : Median

Example Question #1 : Univariate Data

All SAT II Math I Resources

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