AP Statistics : 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

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

 

Example Question #1 : 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 value 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 #1 : How To Find The Range 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 range of the values of the six homes?

Possible Answers:

Correct answer:

Explanation:

The range is the simplest measurement of the difference between values in a data set.  To find the range, one simply subtracts the lowest value from the greatest value, ignoring the others.  Here, the lowest value is 155 and the greatest is 720. 

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

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the range of temperatures?

Possible Answers:

Correct answer:

Explanation:

The range is the simplest measurement of the difference between values in a data set.  To find the range, simply subtract the lowest value from the greatest value, ignoring the others. 

 

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

Find the range for the set.

Possible Answers:

Correct answer:

Explanation:

To find the range, subtract the minimum value from the maximum value

minimum: 

maximum: 

So,

maximum - minimum = 

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

A business tracked the number of customer calls received over a period of five days.  What was the range of customer calls received daily?

Day 1: 57

Day 2: 63

Day 3: 48

Day 4: 49

Day 5: 59

Possible Answers:

Correct answer:

Explanation:

The range is the simple measurement of the difference between values in a dataset. 

To find the range, simply subtract the lowest value from the greatest value, ignoring the others. 

 

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

Find the range for the set of data

Possible Answers:

Correct answer:

Explanation:

The range is equal to the absolute difference between the minimum and maximum value.

We find the range to be

 

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

Let  be a positive integer.

What is the range of the set.

Possible Answers:

Correct answer:

Explanation:

To find the range, subtract the minimum value from the maximum value

minimum: 

maximum:

So,

maximum - minimum = 

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

Find the interquartile range for the following data set:

Possible Answers:

Correct answer:

Explanation:

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 11.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

the median is 6

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

the median is 22.

The interquartile range is just Q3 - Q1, in this case

 

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

Find the interquartile range for the following data set:

Possible Answers:

Correct answer:

Explanation:

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 15.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

 the median is 6, found by taking the mean of the middle two numbers 5 and 7.

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

 the median is 22.5, found by taking the mean of the middle two numbers 22 and 23.

The interquartile range is just Q3 - Q1, in this case 

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