ACT Math : Arithmetic Mean

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #61 : Arithmetic Mean

Find the mean of the following set of numbers.

\(\displaystyle \textup{2,5,6,8,9,11,15}\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 8\)

\(\displaystyle 13\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 8\)

Explanation:

To find mean, simply total the numbers and divide by 7.

\(\displaystyle \textup{mean}=\frac{2+5+6+8+9+11+15}{7}=\frac{56}{7}=8\)

Example Question #62 : Arithmetic Mean

Find the mean of the following set of numbers:

\(\displaystyle 3,5,8,9,11,12,15,17\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 10\)

Explanation:

To find the mean, simply sum all of the numbers and divide by how many there are.

Thus,

\(\displaystyle \frac{3+5+8+9+11+12+15+17}{8}=10\)

Example Question #63 : Arithmetic Mean

Find the mean of the following set of numbers:

\(\displaystyle \textup{1,1,5,6,8,9}\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 1\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 5\)

Explanation:

To find the mean, simply sum up the numbers and divide by the amount there are. Thus,

\(\displaystyle \textup{mean}=\frac{1+1+5+6+8+9}{6}=5\)

Example Question #64 : How To Find Arithmetic Mean

Restaurant

From the menu above, what is the average price of a sandwich?  Round to the nearest cent.

Possible Answers:

$5.07

$5.11

$5.03

$4.99

$5.09

Correct answer:

$5.07

Explanation:

Average  = Sum of the Options / # of Options

= (4.75 + 5.25 + 4.75 + 4.50 + 5.00 +5.25 + 6.00) / 7 = 35.50 / 7 = 5.07

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