SSAT Middle Level Math : Data Analysis and Probability

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

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Example Questions

Example Question #602 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the range in this set of numbers?

\(\displaystyle 1150, 1550, 1510\)

Possible Answers:

\(\displaystyle 1510\)

\(\displaystyle 1500\)

\(\displaystyle 400\)

\(\displaystyle 1150\)

Correct answer:

\(\displaystyle 400\)

Explanation:

Order the numbers from least to greatest: 

\(\displaystyle 1150, 1510, 1550\)

Then subtract the smallest number from the largest number: \(\displaystyle 1550-1150=400\)

Example Question #605 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean in this set of numbers:

\(\displaystyle 654, 645, 646, 656, 655, 664, 644\)

Possible Answers:

\(\displaystyle 652\)

\(\displaystyle 644\)

\(\displaystyle 650\)

\(\displaystyle 655\)

Correct answer:

\(\displaystyle 652\)

Explanation:

First add all the numbers in this set:

\(\displaystyle 654+ 645+ 646+ 656+655+664+644=4564\)

Then divide by \(\displaystyle 7\):

\(\displaystyle 4564\div 7=652\)

 

Example Question #606 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Britney is shopping for shorts. What is the average price of the shorts Britney is considering buying if their prices are $7.99, $10.99, $12.99 and $9.99?

 

 

Possible Answers:

\(\displaystyle \$10.49\)

 

\(\displaystyle \$41.96\)

\(\displaystyle \$11.01\)

\(\displaystyle \$10.99\)

\(\displaystyle \$12.99\)

Correct answer:

\(\displaystyle \$10.49\)

 

Explanation:

First, add the the prices of the shorts:

\(\displaystyle 7.99+10.99+12.99+9.99=41.96\)

Then, divide that amount by the total number of shorts:

\(\displaystyle 41.96\div 4=10.49\)

The answer is \(\displaystyle \$ 10.49\).

Example Question #607 : Isee Middle Level (Grades 7 8) Mathematics Achievement

It rained 2 inches on Saturday, 4 inches on Sunday, 3, inches on Monday, and 3 inches on Tuesday. On average, how many inches did it rain each day?

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 4\)

\(\displaystyle 6\)

\(\displaystyle 9\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Find the total inches of rain first:

\(\displaystyle 2+4+3+3=12\)

Then, divide by the number of days:

\(\displaystyle 12\div 4=3\).

Therefore, on average, it rained 3 inches a day.

Example Question #75 : Data Analysis And Probability

Find the mean in this set of numbers:

\(\displaystyle 58, 61, 57, 56, 63\)

Possible Answers:

\(\displaystyle 57\)

\(\displaystyle 58\)

\(\displaystyle 62\)

\(\displaystyle 56\)

\(\displaystyle 59\)

Correct answer:

\(\displaystyle 59\)

Explanation:

First add all the numbers in the set:

\(\displaystyle 58+ 61+ 57+ 56+ 63=295\)

Then, divide by the number of terms in the set:

\(\displaystyle 295\div 5=59\)

Answer: The mean is \(\displaystyle 59\).

Example Question #74 : Data Analysis And Probability

Find the average in this set of numbers:

\(\displaystyle 43, 48, 41, 45, 43\)

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 41\)

\(\displaystyle 44\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 44\)

Explanation:

First, add all the numbers in the set:

\(\displaystyle 43+48+41+45+43=220\)

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

\(\displaystyle 220\div 5=44\)

Answer: The average is \(\displaystyle 44\)

Example Question #301 : Data Analysis And Probability

Find the mean of this set of numbers:

\(\displaystyle 27, 21, 23, 28, 26\)

Possible Answers:

\(\displaystyle 125\)

\(\displaystyle 25\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 25\)

Explanation:

First, add up the numbers:

\(\displaystyle 27+ 21+ 23+28+ 26=125\)

Then, divide by the number of terms in the set:

\(\displaystyle 125\div 5=25\)

Answer: The mean is \(\displaystyle 25\).

Example Question #78 : Data Analysis And Probability

Find the mean for this set of numbers:

\(\displaystyle 2425, 2454, 2540\)

Possible Answers:

\(\displaystyle 2473\)

\(\displaystyle 2450\)

\(\displaystyle 2454\)

\(\displaystyle 3\)

\(\displaystyle 7419\)

Correct answer:

\(\displaystyle 2473\)

Explanation:

Add the numbers in the set:

\(\displaystyle 2425+ 2454+ 2540=7419\)

Then divide by the total numbers in the set. In this case, there were three original numbers:

\(\displaystyle 7419\div 3=2473\)

Answer: \(\displaystyle 2473\)

Example Question #61 : Data Analysis

Find the mean for this set of numbers:

\(\displaystyle 3314, 3319, 3312\)

Possible Answers:

\(\displaystyle 3319\)

\(\displaystyle 3314\)

\(\displaystyle 3312\)

\(\displaystyle 3310\)

\(\displaystyle 3315\)

Correct answer:

\(\displaystyle 3315\)

Explanation:

Add the numbers in the set:

\(\displaystyle 3314+ 3319+ 3312=9945\)

Then divide by the total numbers in the set. In this case, there were three original numbers:

\(\displaystyle 9945\div 3=3315\)

Answer: \(\displaystyle 3315\)

Example Question #80 : Data Analysis And Probability

Find the mean for this set of numbers:

\(\displaystyle 16, 14, 17, 13\)

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 15\)

\(\displaystyle 12\)

\(\displaystyle 20\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 15\)

Explanation:

First, find the sum of all the numbers in the set:

\(\displaystyle 16+14+17+13=60\)

Then, divide by the amount of numbers in the set. In this case, there are four original numbers:

\(\displaystyle 60\div 4=15\)

Answer: The mean is \(\displaystyle 15\).

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