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GED Math : Statistics

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Example Questions

Example Question #71 : Statistics

Determine the mean of the numbers: [-9,-6,12,13]

Possible Answers:

$\frac{25}{4}$

$\frac{15}{4}$

$\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

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

Sum all the numbers and divide the quantity by 4.

$\frac{-9+(-6)+12+13}{4} = \frac{10}{4} = \frac{5}{2}$

The answer is: $\frac{5}{2}$

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Example Question #14 : Mean

There are nine people in an elevator. They have an average weight of 157 lbs. Two more people enter the elevator. They have an average weight of 177 lbs. What is the new average weight of the group in the elevator? Round to the nearest hundredth of a pound.

Possible Answers:

160.64 lbs.

196.33 lbs.

166.32 lbs.

158.21 lbs.

167 lbs.

Correct answer:

160.64 lbs.

Explanation:

To figure out this problem, you must first calculate the total pounds in the elevator.

The first group is:

9*157 or 1413 lbs.

The second group is:

2*177 or 354 lbs.

Thus, the total amount is:

354+1413=1767

Thus, the average weight in the elevator will be:

$\frac{1767}{11}$ (Remember, there are now people in the elevator.)

This is 160.63636363636364 or 160.64 lbs.

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Example Question #72 : Statistics

Determine the mean: [1,5,9,11,24,26]

Possible Answers:

$\frac{38}{5}$

$\frac{5}{3}$

$\frac{38}{3}$

Correct answer:

$\frac{38}{3}$

Explanation:

Sum all the numbers and divide the quantity by 6.

$\frac{(1+5+9+11+24+26)}{6} = \frac{76}{6}$

Reduce this fraction.

The answer is: $\frac{38}{3}$

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Example Question #73 : Statistics

Evaluate the mean: [2,8,10,-2,20]

Possible Answers:

$\frac{8}{5}$

$\frac{38}{5}$

$\frac{38}{3}$

$\textup{There is no mean.}$

Correct answer:

$\frac{38}{5}$

Explanation:

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

Add all numbers and divide the total by five.

$\frac{2+8+10+(-2)+20}{5} = \frac{38}{5}$

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

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Example Question #74 : Statistics

Find the mean of the numbers: [8,9,-4,-3,15,2]

Possible Answers:

$\frac{3}{2}$

$\frac{9}{4}$

$\frac{9}{2}$

$\frac{41}{6}$

Correct answer:

$\frac{9}{2}$

Explanation:

The mean is the average of all the numbers.

Add all the numbers and divide the sum by 6.

$\frac{8+9+(-4)+(-3)+15+2}{6} = \frac{27}{6}$

Reduce this fraction.

The answer is: $\frac{9}{2}$

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Example Question #75 : Statistics

The grade a student earns for a course depends on the mean of the best four of the five tests he takes. The minimum mean score for each grade is as follows:

A: 90

B: 80

C: 70

D: 60

Charles earned 68, 50, 77, 73, and 80 on his five tests. What was his letter grade?

Possible Answers:

Correct answer:

Explanation:

Charlie's lowest score was a 50, so his grade was the mean of 68, 77, 73, and 80, which is the sum of the scores divided by the number of scores, 4;

$\frac{68+77+73 + 80}{4} = \frac{298}{4}= 74.5$

$70 \le 74.5 < 80$ ,

so Charlie made a grade of "C".

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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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GED Math : Statistics

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #71 : Statistics

Example Question #14 : Mean

Example Question #72 : Statistics

Example Question #73 : Statistics

Example Question #74 : Statistics

Example Question #75 : Statistics

Example Question #21 : Mean

Example Question #77 : Statistics

Example Question #72 : Calculations

Example Question #22 : Mean

All GED Math Resources

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