AP Statistics : How to find the mean for a set of data

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : How To Find The Mean For A Set Of Data

A sample consists of the following observations:. What is the mean? 

Possible Answers:

Correct answer:

Explanation:

The mean is 

Example Question #2 : How To Find The Mean For A Set Of Data

Six homes are for sale and have the following dollar values in thousands of dollars: 

535

155

305

720

315

214

What is the mean of the six homes?

Possible Answers:

Correct answer:

Explanation:

The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group.  In this case, six homes are for sale.  The six home values are added together , then that value is divided by six. 

Example Question #3 : How To Find The Mean For A Set Of Data

A bird watcher observed how many birds came to her bird feeder for four days.  These were the results:

Day 1: 15

Day 2: 12

Day 3: 10

Day 4: 13

What is the mean number of birds?

Possible Answers:

Correct answer:

Explanation:

The mean is calculated by adding the values from the four days together, then dividing the sum by the total number of values.  In this case, four values must be added:

Example Question #4 : How To Find The Mean For A Set Of Data

What is the mode of the following list of numbers?

35, 17, 4, 25, 7, 4, 17, 26, 8, 17

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears most frequently in a series of numbers.  First, organize the numbers in order from least to greatest: 4, 4, 7, 8, 17, 17, 17, 25, 26, 35.  The number 17 appears three times, more than any other number.

Example Question #5 : How To Find The Mean For A Set Of Data

Find the mean of the following set.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a set, follow the formula

in this case

or

Example Question #6 : How To Find The Mean For A Set Of Data

A business tracked the number of customer calls received over a period of five days.  What was the mean number of customer calls received in a day?

Day 1: 57

Day 2: 63

Day 3: 48

Day 4: 49

Day 5: 59

Possible Answers:

Correct answer:

Explanation:

The mean is calculated by adding all the values in a data set, then dividing the sum by the total number in the group. 

 

 

Example Question #7 : How To Find The Mean For A Set Of Data

Number Crunchers Inc. has offices in New York and Wisconsin. The mean salary for office workers in New Work is $28,500. The mean salary for office workers in the Wisconsin office is $22,500. The New York office has 128 office workers and the Wisconsin office has 32 office workers. What is the mean salary paid to the office workers in Number Crunchers Inc.?

Possible Answers:

Correct answer:

Explanation:

The total amount paid in salaries to the office workers is

 ,

which is paid to  office workers. Thus, the mean salary paid to office workers is

 

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