SSAT Middle Level Math : Data Analysis

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #11 : Data Analysis And Probability

In a group of 4 books, the average number of pages is is 10.  Juan adds a book with 20 pages to the group.  What is the new average number of pages?

Possible Answers:

Correct answer:

Explanation:

If the average of 4 books was 10, then the total number of pages was . Adding in the 20 new pages, but now dividing by 5 you get .

Example Question #1 : Data Analysis

Give the mean of the data set (nearest tenth, if applicable): 

Possible Answers:

Correct answer:

Explanation:

Add the six elements and divide the sum by 6:

Example Question #2 : Data Analysis

Find the mean of this set of numbers:

54, 41, 99, 120, 66.

Possible Answers:

Correct answer:

Explanation:

Firrst, add the numbers:

Then, divide by the amount of numbers in the set:

Answer: The mean is 76.

Example Question #3 : Data Analysis

Give the mean of the following eight scores: 

Possible Answers:

Correct answer:

Explanation:

Divide the sum of the scores by eight:

Example Question #2 : Data Analysis

Give the mean of the following nine scores: 

Possible Answers:

Correct answer:

Explanation:

Divide the sum of the scores by nine:

Example Question #3 : Data Analysis

Give the median of the following eight scores: 

Possible Answers:

Correct answer:

Explanation:

Arrange the scores from least to greatest.

There are an even number (eight) of scores, so the median is the arithmetic mean of the middle two scores, 72 and 73. This makes the median

Example Question #6 : Data Analysis

The average age of 4 people is 12.  What will be the sum of their ages in 3 years?

Possible Answers:

Correct answer:

Explanation:

The current sum of their ages is .  Since all 4 people will gain 3 years in age, we have to add 12 to the current sum.

Example Question #3 : Mean

What is the mean of the values , , ,

Possible Answers:

Correct answer:

Explanation:

The mean of a set of values can be calculated by adding the values together and dividing by the number of values: 

Example Question #1 : How To Find Mean

On the first four exams, Charley scored 92, 88, 76, and 74. Charley wants to have a test average of 85%.  What must Charley score on the fifth exam to average 85%?

Possible Answers:

95%

90%

100%

85%

82%

Correct answer:

95%

Explanation:

The summation of the first four exams equals 330.  Using the equation for average, Charley needs to get a 95 on the last exam.

 

 

Example Question #4 : Data Analysis

Give the mean of the following data set:

Possible Answers:

Correct answer:

Explanation:

Since there are 16 elements, divide their sum by 16 to get the mean:

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