SAT Math : Statistics

Study concepts, example questions & explanations for SAT Math

varsity tutors app store varsity tutors android store varsity tutors ibooks store

Example Questions

Example Question #121 : Data Analysis

The numbers 7, 3, 20, 14, and x add up to 50. Find the median of the numbers. 

Possible Answers:

Correct answer:

Explanation:

We know that the median is the middle number in a group of numbers. Therefore, the median of five numbers will be the 3rd largest number. Since one of the numbers is unknown, we need to solve for it.

We can set up the equation,

After we solve for x, we learn that,

Therefore our five numbers, in order, are 3, 6, 7, 14, and 20. The median number, which is the middle number and the 3rd largest in a group of 5 numbers, is 7. 

Example Question #1 : How To Find Median

The Brenner cousins' heights, in inches, are as follows:

Jeremy: 64

Vanessa: 69

Tracie: 60

Samuel: 70

Raymond: 74

Justin: 72

Patty: 55

Lauren: 52

Keith: 58

What is the median height of the cousins?

Possible Answers:

64

74

52

60

58

Correct answer:

64

Explanation:

To find the median, one must arrange all the heights from the lowest to the highest value and then pick the middle value.

All values: 64 69 60 70 74 72 55 52 58

In order from lowest: 52 55 58 60 64 69 70 72 74

Median: 64

Example Question #131 : Data Analysis

Screen_shot_2013-05-17_at_12.12.58_am

Looking at the table, what is the difference of the mean minus the mode.

Possible Answers:

–0.5

1.0

–1.0

0.5

Correct answer:

–0.5

Explanation:

The mode is 3 and subtracting 3 from 2.5 gives -0.5.

Example Question #1 : How To Find Mode

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9 

Possible Answers:

8

6

9

5

Correct answer:

6

Explanation:

Mode is the most frequently occuring number in a set. 6 appears most frequently since there are 2 sixes but the rest of the numbers only appear once. The mode is 6

Example Question #71 : Statistics

Find the mode in this set of numbers:

 

2, 100, 52, 97, 1, 7, 22, 19, 100

Possible Answers:

1

100

2

97

none of these

Correct answer:

100

Explanation:

The mode is the number that appears the most

Example Question #134 : Data Analysis

Find the mode from the following set of numbers

1, 4, 8, 17, 8, 8, 15, 21, 32, 17

Possible Answers:

21

8

4

15

17

Correct answer:

8

Explanation:

The mode is the number that appears the most in a given set of numbers

Example Question #3 : How To Find Mode

Find the mode.

\dpi{100} \small 9,6,9,6,5,9,8,3

Possible Answers:

\dpi{100} \small 6

\dpi{100} \small 8

\dpi{100} \small 9

\dpi{100} \small 5

\dpi{100} \small 3

Correct answer:

\dpi{100} \small 9

Explanation:

The mode is the number that appears the most often. 9 appears three times.

Example Question #1 : Mode

What is the mode of the following set of numbers?

24, 38, 26, 27, 7, 27, 34, 12, 13
Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears the most in a given set of numbers.

Example Question #4 : How To Find Mode

Consider the following dataset:

The arithmetic mean of the dataset is .

The median of the dataset is .

The range of the dataset is .

The mode of the dataset is .

Which of the following statements is true?

Possible Answers:

Correct answer:

Explanation:

In general:

In this case the mean is:

To obtain the median, arrange the observations from smallest to largest:

When there is an odd number of observations, the median is the middle value. In this case:

The range is the difference between the largest and smallest value:

The mode is the value that occurs most often in the dataset:

Since:

we can conclude:

Example Question #6 : How To Find Mode

What is the mode of the data set?  

Possible Answers:

Correct answer:

Explanation:

The mode is the most frequent number or numbers that happen in a set of numbers.  There can be more than one mode.

The data set is already in order from smallest to largest.  Since there are three of each number, 1,2 and 3, all of the numbers are considered to be the mode.

The correct answer is:  

Learning Tools by Varsity Tutors