GED Math : Statistics

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #181 : Calculations

A Science class took an exam. Here are the scores of 9 students:

\(\displaystyle 78, 76, 88, 81, 93, 86, 81, 92, 84\)

Find the range.

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 76\)

\(\displaystyle 17\)

\(\displaystyle 81\)

\(\displaystyle 36\)

Correct answer:

\(\displaystyle 17\)

Explanation:

To find the range of a data set, we will find the smallest and the largest number. Then, we will find the difference of those two numbers.

So, given the set

\(\displaystyle 78, 76, 88, 81, 93, 86, 81, 92, 84\)

we can see the smallest number is 76 and the largest number is 93. Now, we will find the difference. We get

\(\displaystyle 93-76=17\)

Therefore, the range of the data set is 17.

Example Question #181 : Statistics

A class took a Math exam.  Here are the test scores of 10 students.

\(\displaystyle 78, 79, 85, 81, 99, 94, 89, 81, 93, 77\)

Find the range.

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 42\)

\(\displaystyle 21\)

\(\displaystyle 36\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 22\)

Explanation:

To find the range of a data set, we will find the smallest and largest number within the set, then we will find the difference of those two numbers.

So, given the data set

\(\displaystyle 78, 79, 85, 81, 99, 94, 89, 81, 93, 77\)

we can see the smallest number is 77 and the largest is 99. Now, we will find the difference. We get

\(\displaystyle 99-77=22\)

Therefore, the range of the data set is 22.

Example Question #181 : Statistics

Calculate the range of the following numbers:  \(\displaystyle [-2,-9,18,24,33]\)

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 42\)

\(\displaystyle 64\)

\(\displaystyle 32\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 42\)

Explanation:

The range is the difference between the highest and lowest numbers.

The highest value is 33.

The lowest value is negative nine.

Subtract both quantities.

\(\displaystyle 33-(-9) = 33+9 = 42\)

The answer is:  \(\displaystyle 42\)

Example Question #183 : Calculations

Identify the range of the following numbers:  \(\displaystyle [-23,26,-11,56]\)

Possible Answers:

\(\displaystyle 67\)

\(\displaystyle 33\)

\(\displaystyle 49\)

\(\displaystyle 30\)

\(\displaystyle 79\)

Correct answer:

\(\displaystyle 79\)

Explanation:

The range is the difference between the largest and smallest numbers.

The largest number is:  \(\displaystyle 56\)

The smallest number is:  \(\displaystyle -23\)

Subtract both quantities.

\(\displaystyle 56-(-23) = 56+23 = 79\)

The answer is:  \(\displaystyle 79\)

Example Question #17 : Other Data Calculations

Determine the range of the numbers:  \(\displaystyle [-\frac{1}{2}, -\frac{3}{4},-\frac{3}{2}]\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle -\frac{5}{2}\)

\(\displaystyle -\frac{5}{4}\)

\(\displaystyle -2\)

Correct answer:

\(\displaystyle 1\)

Explanation:

The range is the difference between the largest and smallest numbers.

The largest number is: \(\displaystyle -\frac{1}{2}\)

The smallest number is:  \(\displaystyle -\frac{3}{2}\)

Subtract the quantities.

\(\displaystyle -\frac{1}{2} - (-\frac{3}{2})= -\frac{1}{2}+\frac{3}{2} =\frac{2}{2} = 1\)

The answer is:  \(\displaystyle 1\)

Example Question #184 : Calculations

A class took a Math exam. Here are the test scores of 8 students.

\(\displaystyle 84, 76, 81, 88, 91, 85, 76, 90\)

Find the range.

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 15\)

\(\displaystyle 18\)

\(\displaystyle 14\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 15\)

Explanation:

To find the range of a data set, we will find the smallest and largest number within the set, then we will find the difference of those two numbers.

So, given the data set

\(\displaystyle 84, 76, 81, 88, 91, 85, 76, 90\)

we can see the smallest number is 76 and the largest is 91. Now, we will find the difference. We get

\(\displaystyle 91-76=15\)

Therefore, the range of the data set is 15.

Example Question #21 : Other Data Calculations

Solve for the range:  \(\displaystyle [-9,11,-9,5,-3]\)

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle -1\)

\(\displaystyle -5\)

\(\displaystyle 13\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 20\)

Explanation:

The range is the difference between the highest and lowest numbers.

The highest number is 11.

The smallest number is:  \(\displaystyle -9\)

Subtract the quantities of both numbers.

\(\displaystyle 11-(-9) = 11+9 = 20\)

The answer is:  \(\displaystyle 20\)

Example Question #182 : Statistics

Determine the range:  \(\displaystyle [0,-9,11,-3,12]\)

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 7\)

\(\displaystyle 12\)

\(\displaystyle 11\)

\(\displaystyle 21\)

Correct answer:

\(\displaystyle 21\)

Explanation:

The range is the difference between the largest and smallest numbers.

The largest number is \(\displaystyle 12\), and the smallest number is \(\displaystyle -9\).  Subtract the numbers.

\(\displaystyle 12-(-9) = 12+9 =21\)

The answer is:  \(\displaystyle 21\)

Example Question #181 : Statistics

Determine the range:  \(\displaystyle [-9,-11,-15,-33,-52]\)

Possible Answers:

\(\displaystyle 43\)

\(\displaystyle 61\)

\(\displaystyle \textup{The answer cannot be determined.}\)

\(\displaystyle -43\)

\(\displaystyle -61\)

Correct answer:

\(\displaystyle 43\)

Explanation:

The larger the negative number, the smaller the number will be.

The range is the difference between the largest and smallest numbers.

The largest number is:  \(\displaystyle -9\)

The smallest number is:  \(\displaystyle -52\)

Subtract the numbers.

\(\displaystyle -9-(-52) = -9 +52 = 43\)

The answer is:  \(\displaystyle 43\)

Example Question #181 : Calculations

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

\(\displaystyle 88, 81, 90, 94, 85, 95, 90\)

Find the range.

Possible Answers:

\(\displaystyle 89\)

\(\displaystyle 81\)

\(\displaystyle 7\)

\(\displaystyle 12\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 14\)

Explanation:

To find the range of a data set, we will first find the smallest and the largest number within the set. Then, we will find the difference of those two numbers.

So, given the set

\(\displaystyle 88, 81, 90, 94, 85, 95, 90\)

we can see the smallest number is 81 and the largest number is 95. Now, we will find the difference. We get

\(\displaystyle 95-81=14\)

Therefore, the range of the data set is 14.

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