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SSAT Middle Level Math : Data Analysis and Probability

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Data Analysis

Give the mean of the following eight scores:

$\left \{ 61, 67, 80, 72, 76, 73, 90, 68 \right \}$

Possible Answers:

75.5

72.5

72.875

73.375

Correct answer:

73.375

Explanation:

Divide the sum of the scores by eight:

$\frac{ 61+ 67+80+72+76+73+90+ 68}{8} = \frac{ 587}{8} = 73.375$

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Example Question #2 : Data Analysis

Give the mean of the following nine scores:

$\left \{ 61, 67, 80, 72, 76, 73, 90, 68, 70 \right \}$

Possible Answers:

75.5

72.5

Correct answer:

Explanation:

Divide the sum of the scores by nine:

$\frac{ 61 + 67+ 80+ 72+ 76+73+90+68+70}{9} = \frac{ 657}{9} = 73$

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Example Question #3 : Data Analysis

Give the median of the following eight scores:

$\left \{ 61, 67, 80, 72, 76, 73, 90, 68 \right \}$

Possible Answers:

72.5

73.375

75.5

Correct answer:

72.5

Explanation:

Arrange the scores from least to greatest.

$\left \{ 61, 67, 68, 72, 73, 76, 80, 90 \right \}$

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

$\frac{72 + 73}{2} = 72.5$

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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 $12\times 4=48$ . Since all 4 people will gain 3 years in age, we have to add 12 to the current sum.

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Example Question #3 : Mean

What is the mean of the values , , , , 21?

Possible Answers:

105

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: $\frac{34+40+1+9+21}{5}=21$

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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.

$\frac{330+x}{5}=85$

330+x=85*5=425

x=425-330=95

x=95

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Example Question #4 : Data Analysis

Give the mean of the following data set:

$\left \{1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 10 \right \}$

Possible Answers:

5.375

5.0625

5.5

Correct answer:

5.0625

Explanation:

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

$(1+ 2+ 3+ 3+ 4+ 4+ 4+ 5+ 5+ 6+ 6+ 6+ 6+ 7+ 9+ 10) \div 16 = 81 \div 16 = 5.0625$

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Example Question #21 : Data Analysis And Probability

Find the average of this set of numbers:

521, 834, 754, 902, 899

Possible Answers:

782

754

378

600

Correct answer:

782

Explanation:

First, add all the numbers in this set:

521+834+754+902+899=3910

Divide, 3910 by the total amount of numbers in the set:

$3910\div 5=782$

Answer: The average is 782.

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Example Question #1 : Find Mean

Find the mean in this set of numbers:

5570, 4886, 5226, 4120, 6561, 4120, 6008

Possible Answers:

5226

2440

4120

5213

Correct answer:

5213

Explanation:

First, add all the numbers in this set:

5570+4886+5226+4120+6561+4120+6008=36491

Then, divide that amount by the total number in the set:

$36491\div 7=5213$

Answer: The mean is 5213.

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Example Question #1 : Mean

Adrienne is trying on dresses for prom. The dresses she likes each cost $\$129$ , $\$134$ , $\$127$ and $\$132$ , respectively. What is the average dress price that Adrienne is considering?

Possible Answers:

$\$132.00$

$\$130.00$

$\$127.00$

$\$131.00$

$\$130.50$

Correct answer:

$\$130.50$

Explanation:

First, add up all of the dress prices:

129+134+127+132=522

Then, divide by the number of dresses:

$522 \div 4=130.50$

Answer: The average dress price is $\$130.50$

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SSAT Middle Level Math : Data Analysis and Probability

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #3 : Data Analysis

Example Question #2 : Data Analysis

Example Question #3 : Data Analysis

Example Question #6 : Data Analysis

Example Question #3 : Mean

Example Question #1 : How To Find Mean

Example Question #4 : Data Analysis

Example Question #21 : Data Analysis And Probability

Example Question #1 : Find Mean

Example Question #1 : Mean

All SSAT Middle Level Math Resources

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