Algebra 1 : How to find mean

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #141 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 5, 6, 7, 8, 9, 10, 22\)

Possible Answers:

\(\displaystyle 11.2\)

\(\displaystyle 9.7\)

\(\displaystyle 9.4\)

\(\displaystyle 10.2\)

\(\displaystyle 9.6\)

Correct answer:

\(\displaystyle 9.6\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

\(\displaystyle 9.6\)

Example Question #142 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 12, 22, 24, 38, 40, 54\)

Possible Answers:

\(\displaystyle 31.6\)

\(\displaystyle 30.6\)

\(\displaystyle 30.7\)

\(\displaystyle 31.7\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 31.7\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

Example Question #143 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 10, 20, 30, 40, 50\)

Possible Answers:

\(\displaystyle 40\)

\(\displaystyle 20\)

\(\displaystyle 30\)

\(\displaystyle 35\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 30\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

\(\displaystyle 30\)

Example Question #144 : How To Find Mean

Find the mean:  \(\displaystyle [6,9,60]\)

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 30\)

\(\displaystyle 20\)

\(\displaystyle 25\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 25\)

Explanation:

The mean is the average of the dataset.

Add the three numbers and divide by the total amount of numbers.

\(\displaystyle \frac{6+9+60 }{3}= \frac{75}{3} = 25\)

The answer is \(\displaystyle 25\).

Example Question #145 : How To Find Mean

Find the mean of the following dataset:  \(\displaystyle [2,9,11,36,4]\)

Possible Answers:

\(\displaystyle \frac{62}{5}\)

\(\displaystyle \textup{There is no mean.}\)

\(\displaystyle 12\)

\(\displaystyle \frac{72}{5}\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle \frac{62}{5}\)

Explanation:

The mean is the average of all the numbers in the set of data.

Add all the numbers.

\(\displaystyle 2+9+11+36+4 = 62\)

Divide this number by the total numbers in the dataset.

The answer is:  \(\displaystyle \frac{62}{5}\)

Example Question #146 : Statistics And Probability

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 2,3,4,5,6,12,13,14,15,16,17,18\)

Possible Answers:

\(\displaystyle 12.4\)

\(\displaystyle 10.4\)

\(\displaystyle 10.2\)

\(\displaystyle 11.4\)

\(\displaystyle 10.3\)

Correct answer:

\(\displaystyle 10.4\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

\(\displaystyle 10.4\)

Example Question #146 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 20,22,30,33,40,44\)

Possible Answers:

\(\displaystyle 31\)

\(\displaystyle 31.5\)

\(\displaystyle 30.5\)

\(\displaystyle 32\)

\(\displaystyle 29\)

Correct answer:

\(\displaystyle 31.5\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

\(\displaystyle 31.5\)

Example Question #147 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 10,11,12,13,14,21,27,50\)

Possible Answers:

\(\displaystyle 19.7\)

\(\displaystyle 20.2\)

\(\displaystyle 20.1\)

\(\displaystyle 19.8\)

\(\displaystyle 19.5\)

Correct answer:

\(\displaystyle 19.8\)

Explanation:

The best answer is:

\(\displaystyle 19.8\)

Example Question #148 : How To Find Mean

Find the mean of the following set of numbers (round to the nearest tenth):

\(\displaystyle 61,62,63,71,72,73\)

Possible Answers:

\(\displaystyle 67\)

\(\displaystyle 68\)

\(\displaystyle 57\)

\(\displaystyle 70\)

\(\displaystyle 69\)

Correct answer:

\(\displaystyle 67\)

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

\(\displaystyle 67\)

Example Question #1574 : Algebra 1

Find the mean in the given data set.

\(\displaystyle 1, 2, 6, 4, 1, 5, 1, 6, 10\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 1\)

\(\displaystyle 9\)

\(\displaystyle 4\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 4\)

Explanation:

To find the mean of a data set, we are finding the average.  To do this, we add all the numbers in the set together and divide by the quantity of numbers.  So,

\(\displaystyle \text{mean} = \frac{\text{sum of numbers}}{\text{quantity of numbers}}\)

\(\displaystyle \text{mean} = \frac{1+2+6+4+1+5+1+6+10}{9}\)

\(\displaystyle \text{mean} = \frac{36}{9}\)

\(\displaystyle \text{mean} = 4\)

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