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GED Math : Statistics

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Example Questions

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Example Question #81 : Calculations

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

Possible Answers:

$\textup{There is no mean.}$

$\frac{10}{9}$

$\frac{10}{3}$

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 #81 : Statistics

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

Possible Answers:

$-\frac{38}{5}$

$\frac{38}{5}$

$\frac{78}{5}$

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 #82 : Statistics

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 #83 : Statistics

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

Possible Answers:

$\textup{There is no mean.}$

$\frac{31}{4}$

$\frac{27}{4}$

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 #21 : 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 #30 : Mean

Find the mean of the following data set:

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

Possible Answers:

167

47.6

144

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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Example Question #31 : Mean

Find the mean of the following data set:

654,767,176,458,654,229,555,144,343,767,654

Possible Answers:

432

767

654

555

Correct answer:

432

Explanation:

Find the mean of the following data set:

654,767,176,458,654,229,555,144,343,767,654

To find the mean, sum up your terms and divide by the number of terms.

We have 11 terms, so that will be our numerator.

$\mu=\frac{654+767+176+458+654+229+555+144+343+767+654}{11}$

$\mu=\frac{4747}{11}\approx431.5455\approx 432$

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Example Question #81 : Statistics

The sales of a construction supply company are shown for the first six months of a year:

$\begin{tabular}{|c|c|} \hline Month&Sales (in 1000s)\\ \hline January&412\\ February&514\\ March&201\\ April &502\\ May&339\\ June &102\\ \hline \end{tabular}$

In thousands, what is the mean dollar amount of sales for these six months?

Possible Answers:

289

345

410

442

Correct answer:

345

Explanation:

Recall how to find the mean:

$\text{Mean}=\frac{\text{Sum of All Values}}{\text{Number of Values}}$

Start by finding the sum of all the values given:

$\text{Sum}=412+514+201+502+339+102=2070$

Since we have six months, the number of values is .

Now, find the mean:

$\text{Mean}=\frac{2070}{6}=345$

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Example Question #81 : Calculations

The following chart shows the pounds of strawberries harvested over the span of a week on a farm:

$\begin{tabular}{|c|c|}\hline Day&Pounds Harvested\\ \hline 1&254\\ 2&221\\ 3&231\\ 4&119\\ 5&203\\ 6&196\\ 7&155\\ \hline \end{tabular}$

What is the difference between the median and the mean of the weights?

Possible Answers:

Correct answer:

Explanation:

To find the median, start by placing the values in numerical order:

119, 155, 196, 203, 221, 231, 254

The middle term, or the median, of this set is 203 .

Next, recall how to find the mean of a set of values:

$\text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$

Thus, the mean for this set of values is

$\text{Mean}=\frac{119+155+196+203+221+231+254}{7}=197$

The difference between the median and the mean is then

203-197=6

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Example Question #34 : Mean

The following chart shows the pounds of strawberries harvested over the span of a week on a farm:

$\begin{tabular}{|c|c|}\hline Day&Pounds Harvested\\ \hline 1&254\\ 2&221\\ 3&231\\ 4&119\\ 5&203\\ 6&196\\ 7&155\\ \hline \end{tabular}$

How many pounds of strawberries must be harvested on the eighth day for the average pounds of strawberries harvested each day to increase to 200 pounds?

Possible Answers:

257

224

244

221

Correct answer:

221

Explanation:

Recall how to find the mean:

$\text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$

The question gives us the mean and the number of values. Let be the number of pounds that must be harvested on the eighth day, and then we can write the following equation and solve:

$200=\frac{119+155+196+203+221+231+254+x}{8}$ 1379+x=1600

x=221

221 pounds must be harvested on the eighth day in order for the average pounds of strawberries harvested to increase the desired amount.

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GED Math : Statistics

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #81 : Calculations

Example Question #81 : Statistics

Example Question #82 : Statistics

Example Question #83 : Statistics

Example Question #21 : Mean

Example Question #30 : Mean

Example Question #31 : Mean

Example Question #81 : Statistics

Example Question #81 : Calculations

Example Question #34 : Mean

All GED Math Resources

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