SSAT Middle Level Math : How to find mean

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

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Example Questions

Example Question #56 : Data Analysis And Probability

In the first grade, there are three classrooms. The three classes have 24, 29 and 31 students in them. What is the average number of students in a first grade class?

Possible Answers:

\(\displaystyle 29\)

\(\displaystyle 27\)

\(\displaystyle 24\)

\(\displaystyle 31\)

\(\displaystyle 28\)

Correct answer:

\(\displaystyle 28\)

Explanation:

First, add up the number of students:

\(\displaystyle 24+29+31=84\)

Then, divide by 3:

\(\displaystyle 84\div 3=28\)

 

Example Question #57 : Data Analysis And Probability

Alex played the piano for 35 minutes on Monday, 42 minutes on Wednesday and 37 minutes on Thursday. On average, how many minutes did Alex play the piano on each day?

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 38\)

 

\(\displaystyle 29\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 38\)

 

Explanation:

First add up the numbers:

\(\displaystyle 35+42+37=114\)

Then, divide by 3, because Alex played piano on three different days:

\(\displaystyle 114\div 3=38\)

Answer: 38 minutes

Example Question #58 : Data Analysis And Probability

Find the mean of this set of numbers:

\(\displaystyle 434, 444, 343, 433, 443, 333, 335\)

Possible Answers:

\(\displaystyle 375\)

\(\displaystyle 395\)

\(\displaystyle 405\)

\(\displaystyle 385\)

Correct answer:

\(\displaystyle 395\)

Explanation:

First, add up all the numbers in the set:

\(\displaystyle 434+ 444+ 343+433+ 443+ 333+ 335=2765\)

Then, divide by 7, because there are seven numbers in the data set:

\(\displaystyle 2765 \div 7=395\)

Example Question #31 : How To Find Mean

Jason has taken five tests this quarter in school. What is his average if his grades for the five tests are 81, 78, 91, 88 and 93?

Possible Answers:

\(\displaystyle 81.2\)

\(\displaystyle 86\)

\(\displaystyle 88\)

 

\(\displaystyle 86.2\)

Correct answer:

\(\displaystyle 86.2\)

Explanation:

First add up all of the scores:

\(\displaystyle 81+78+91+88+93=431\)

Then, divide that number by the total number of tests that Jason took:

\(\displaystyle 431\div 5=86.2\)

Answer: Jason's average is 86.2

Example Question #32 : How To Find Mean

Find the mean in this set of numbers:

\(\displaystyle 3770, 3737, 3373, 3333, 3777\)

Possible Answers:

\(\displaystyle 3599\)

\(\displaystyle 3737\)

\(\displaystyle 3598\)

\(\displaystyle 444\)

Correct answer:

\(\displaystyle 3598\)

Explanation:

First, add the numbers in the set:

\(\displaystyle 3770+ 3737+ 3373+ 3333+ 3777=17990\)

Then, divide by \(\displaystyle 5\):

\(\displaystyle 17990\div 5=3598\)

 

Example Question #33 : How To Find Mean

Find the mean of the following set of numbers:

\(\displaystyle 34, 56, 73, 43, 80, 15, 26\)

Possible Answers:

46.7

54.5

43

40.9

Correct answer:

46.7

Explanation:

The mean is equal to the sum of the values divided by the total number of values.

\(\displaystyle mean=\frac{34+56+73+43+80+15+26}{7}=46.7\)

Example Question #34 : How To Find Mean

What is the mean of the following numbers?

\(\displaystyle 7, 14, 11, 12, 9, 6\)

Possible Answers:

\(\displaystyle 10.2\)

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 9.8\)

Correct answer:

\(\displaystyle 9.8\)

Explanation:

The mean can be determined by dividing the sum of the values by the total number of values.

\(\displaystyle mean=\frac{sum\ of\ n}{n}\)

\(\displaystyle mean=\frac{7+14+11+12+9+6}{6}=\frac{59}{6}\approx 9.8\)

Example Question #35 : How To Find Mean

Find the mean in this set of numbers:

\(\displaystyle 588, 588, 598, 598, 598\)

Possible Answers:

\(\displaystyle 596\)

\(\displaystyle 2970\)

\(\displaystyle 588\)

\(\displaystyle 598\)

\(\displaystyle 594\)

Correct answer:

\(\displaystyle 594\)

Explanation:

First, add all the numbers in this set:

\(\displaystyle 588+588+598+598+598=2970\)

Then, divide by 5:

\(\displaystyle 2970 \div 5=594\)

Answer: The mean is 594.

Example Question #36 : How To Find Mean

Find the mean in this set of numbers:

\(\displaystyle 245, 245, 255, 255, 255\)

Possible Answers:

\(\displaystyle 255\)

\(\displaystyle 244\)

\(\displaystyle 245\)

\(\displaystyle 251\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 251\)

Explanation:

First, add all the numbers in this set:

\(\displaystyle 245, 245, 255, 255, 255=1255\)

Then, divide by 5: 

\(\displaystyle 1255 \div 5=251\)

Answer: The mean is 251.

Example Question #37 : How To Find Mean

Find the mean in this set of numbers:

\(\displaystyle 7890, 7980, 7880, 7890, 7990\)

 

Possible Answers:

\(\displaystyle 7990\)

\(\displaystyle 7920\)

\(\displaystyle 7826\)

\(\displaystyle 7926\)

Correct answer:

\(\displaystyle 7926\)

Explanation:

First, add all the numbers in the set: 

\(\displaystyle 7890+7980+7880+7890+7990=39630\)

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

\(\displaystyle 39630\div5=7926\)

Answer: The mean is \(\displaystyle 7926\) 

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