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GED Math : Mean

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Example Questions

Example Question #21 : Mean

Determine the mean of the numbers: [5,-7,-6,3,2]

Possible Answers:

$\frac{3}{4}$

$\frac{6}{5}$

$\frac{23}{5}$

$-\frac{3}{5}$

Correct answer:

$-\frac{3}{5}$

Explanation:

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

Add all the numbers and divide the quantity by five.

$\frac{5+(-7)+(-6)+3+2}{5} = -\frac{3}{5}$

The answer is: $-\frac{3}{5}$

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Example Question #77 : Statistics

Use the following data set of student test scores to answer the question:

88, 81, 90, 94, 85, 95, 90

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}$

Now, given the set

88, 81, 90, 94, 85, 95, 90

we can calculate the following:

$\text{sum of numbers within set} = 88+81+90+94+85+95+90$

$\text{sum of numbers within set} = 623$

$\text{number of numbers within set} = 7$

because if we were to count the numbers in the set, we would get 7.

Now, we can substitute. We get

$\text{mean} = \frac{623}{7}$

$\text{mean} = 89$

Therefore, the mean of the data set is 89.

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Example Question #72 : Calculations

Find the mean of the numbers: [5,8,13,21,25,-16]

Possible Answers:

$\frac{21}{2}$

$\frac{29}{2}$

$\frac{28}{3}$

$\frac{44}{3}$

$\frac{21}{4}$

Correct answer:

$\frac{28}{3}$

Explanation:

The mean is the average of all the given numbers.

Add all the numbers and divide the sum by 6.

$\frac{5+8+13+21+25+(-16)}{6}=\frac{56}{6}$

Reduce the fraction.

$\frac{56}{6} = \frac{28}{3}$

The answer is: $\frac{28}{3}$

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Example Question #22 : Mean

Identify the mean: [5,16,18,21]

Possible Answers:

$\textup{There is no mean.}$

105

Correct answer:

Explanation:

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

$\frac{5+16+18+21}{4} = \frac{60}{4} = 15$

The answer is:

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Example Question #23 : Mean

Evaluate the mean of the following numbers: [1,1,1,3,3,3,6,6,6]

Possible Answers:

$\frac{10}{9}$

$\textup{There is no mean.}$

$\frac{10}{3}$

1,3,6

Correct answer:

$\frac{10}{3}$

Explanation:

The mean is the average of the numbers. Do not confuse mean with the mode!

Sum all the numbers and divide the total by the amount of numbers in the data set.

$\frac{1+1+1+3+3+3+6+6+6}{9} = \frac{30}{9}$

Reduce the fraction.

The answer is: $\frac{10}{3}$

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Example Question #23 : Mean

Determine the mean of the numbers: [-4,-8,-8,13,45]

Possible Answers:

$\frac{38}{5}$

$\frac{78}{5}$

$-\frac{38}{5}$

Correct answer:

$\frac{38}{5}$

Explanation:

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

Sum all the numbers and divide the quantity by five.

$\frac{-4+(-8)+(-8)+13+45}{5} = \frac{38}{5}$

The answer is: $\frac{38}{5}$

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Example Question #24 : Mean

Find the mean of the numbers: [3,6,9,12,15]

Possible Answers:

Correct answer:

Explanation:

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

Add all the numbers and divide by five.

$\frac{3+6+9+12+15}{5} =\frac{45}{5} = 9$

The answer is:

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Example Question #25 : Mean

Identify the mean: [5,9,7,10]

Possible Answers:

$\frac{31}{4}$

$\textup{There is no mean.}$

$\frac{27}{4}$

Correct answer:

$\frac{31}{4}$

Explanation:

The mean is the average of all the numbers given.

Add all the numbers and divide the total by four.

$\frac{5+9+7+10}{4} = \frac{31}{4}$

The mean is: $\frac{31}{4}$

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Example Question #26 : Mean

Find the mean of the following data set:

14,96,33,59,63,14,44,58,57,12,9

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

14,96,33,59,63,14,44,58,57,12,9

Now, to find the mean we need to find the average.

Find the average via the following formula:

$\mu =\frac{\sum n_1\rightarrow n_n }{n}$

What this means is that we will sum all our terms in the numerator, and then divide by the total number of terms (n).

We have 11 terms, so n=11

Let's sum our terms:

14+96+33+59+63+14+44+58+57+12+9=459

Next, divide by 11

$\mu =\frac{459 }{11}=41.\bar{72}\approx 42$

So, we can say our answer is 42.

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Example Question #84 : Calculations

Find the mean of the following data set:

44,67,234,989,33,45,64,44,23,34,11

Possible Answers:

167

144

47.6

Correct answer:

144

Explanation:

Find the mean of the following data set:

44,67,234,989,33,45,64,44,23,34,11

To find the mean of a series of numbers, simply find the average.

This means that we will sum up our terms, and then divide by the total number of terms in our series.

In this case, we have 11 terms, so we get the following:

$\mu =\frac{44+67+234+989+33+45+64+44+23+34+11}{11}=$

$\mu= \frac{1588}{11}\approx144$

So, our mean is 144

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All GED Math Resources

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GED Math : Mean

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #21 : Mean

Example Question #77 : Statistics

Example Question #72 : Calculations

Example Question #22 : Mean

Example Question #23 : Mean

Example Question #23 : Mean

Example Question #24 : Mean

Example Question #25 : Mean

Example Question #26 : Mean

Example Question #84 : Calculations

All GED Math Resources

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