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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 #31 : Mean

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:

$\displaystyle 27$

$\displaystyle 31$

$\displaystyle 29$

$\displaystyle 28$

$\displaystyle 24$

Correct answer:

$\displaystyle 28$

Explanation:

First, add up the number of students:

$\displaystyle 24+29+31=84$

Then, divide by 3:

$84\div 3=28$ $\displaystyle 84\div 3=28$

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Example Question #32 : Mean

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:

$\displaystyle 35$

$\displaystyle 29$

$\displaystyle 38$

$\displaystyle 40$

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:

$114\div 3=38$ $\displaystyle 114\div 3=38$

Answer: 38 minutes

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Example Question #33 : Mean

Find the mean of this set of numbers:

$\displaystyle 434, 444, 343, 433, 443, 333, 335$

Possible Answers:

405 $\displaystyle 405$

375 $\displaystyle 375$

395 $\displaystyle 395$

385 $\displaystyle 385$

Correct answer:

395 $\displaystyle 395$

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:

$2765 \div 7=395$ $\displaystyle 2765 \div 7=395$

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Example Question #34 : 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:

$\displaystyle 86$

$\displaystyle 88$

81.2 $\displaystyle 81.2$

86.2 $\displaystyle 86.2$

Correct answer:

86.2 $\displaystyle 86.2$

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:

$431\div 5=86.2$ $\displaystyle 431\div 5=86.2$

Answer: Jason's average is 86.2

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Example Question #35 : Mean

Find the mean in this set of numbers:

$\displaystyle 3770, 3737, 3373, 3333, 3777$

Possible Answers:

444 $\displaystyle 444$

3598 $\displaystyle 3598$

3599 $\displaystyle 3599$

3737 $\displaystyle 3737$

Correct answer:

3598 $\displaystyle 3598$

Explanation:

First, add the numbers in the set:

$\displaystyle 3770+ 3737+ 3373+ 3333+ 3777=17990$

Then, divide by $\displaystyle 5$:

$17990\div 5=3598$ $\displaystyle 17990\div 5=3598$

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Example Question #63 : Data Analysis And Probability

Find the mean of the following set of numbers:

$\displaystyle 34, 56, 73, 43, 80, 15, 26$

Possible Answers:

46.7

54.5

40.9

Correct answer:

46.7

Explanation:

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

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

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Example Question #36 : Mean

What is the mean of the following numbers?

$\displaystyle 7, 14, 11, 12, 9, 6$

Possible Answers:

9.8 $\displaystyle 9.8$

$\displaystyle 8$

$\displaystyle 10$

10.2 $\displaystyle 10.2$

Correct answer:

9.8 $\displaystyle 9.8$

Explanation:

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

$mean=\frac{sum\ of\ n}{n}$ $\displaystyle mean=\frac{sum\ of\ n}{n}$

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

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Example Question #37 : Mean

Find the mean in this set of numbers:

$\displaystyle 588, 588, 598, 598, 598$

Possible Answers:

596 $\displaystyle 596$

594 $\displaystyle 594$

598 $\displaystyle 598$

588 $\displaystyle 588$

2970 $\displaystyle 2970$

Correct answer:

594 $\displaystyle 594$

Explanation:

First, add all the numbers in this set:

$\displaystyle 588+588+598+598+598=2970$

Then, divide by 5:

$2970 \div 5=594$ $\displaystyle 2970 \div 5=594$

Answer: The mean is 594.

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Example Question #599 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean in this set of numbers:

$\displaystyle 245, 245, 255, 255, 255$

Possible Answers:

251 $\displaystyle 251$

244 $\displaystyle 244$

$\displaystyle 11$

255 $\displaystyle 255$

245 $\displaystyle 245$

Correct answer:

251 $\displaystyle 251$

Explanation:

First, add all the numbers in this set:

$\displaystyle 245, 245, 255, 255, 255=1255$

Then, divide by 5:

$1255 \div 5=251$ $\displaystyle 1255 \div 5=251$

Answer: The mean is 251.

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Example Question #38 : Mean

Find the mean in this set of numbers:

$\displaystyle 7890, 7980, 7880, 7890, 7990$

Possible Answers:

7926 $\displaystyle 7926$

7990 $\displaystyle 7990$

7826 $\displaystyle 7826$

7920 $\displaystyle 7920$

Correct answer:

7926 $\displaystyle 7926$

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:

$39630\div5=7926$ $\displaystyle 39630\div5=7926$

Answer: The mean is 7926 $\displaystyle 7926$

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SSAT Middle Level Math : How to find mean

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #31 : Mean

Example Question #32 : Mean

Example Question #33 : Mean

Example Question #34 : Mean

Example Question #35 : Mean

Example Question #63 : Data Analysis And Probability

Example Question #36 : Mean

Example Question #37 : Mean

Example Question #599 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #38 : Mean

All SSAT Middle Level Math Resources

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