Algebra 1 : How to find range

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #51 : How To Find Range

Find the range.

\(\displaystyle 23, 33, 45, 51, 67, 88, 91\)

Possible Answers:

\(\displaystyle 91\)

\(\displaystyle 23\)

\(\displaystyle 78\)

\(\displaystyle 48\)

\(\displaystyle 68\)

Correct answer:

\(\displaystyle 68\)

Explanation:

Range is the difference between the largest and the smallest number in the set. In this case, we have \(\displaystyle 91, 23\). The difference is \(\displaystyle 68\).

Example Question #2052 : Algebra 1

Find the range.

\(\displaystyle 21, 12, 45, 33, 76, 102, 32, 9, 14\)

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 93\)

\(\displaystyle 7\)

\(\displaystyle 85\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 93\)

Explanation:

Range is the differene between the largest and smallest number in the set. It's best to arrange the numbers from smallest to greatest. We have \(\displaystyle 9, 12, 14, 21, 32, 33, 45, 76, 102\). So we take the difference of \(\displaystyle 102, 9\) and we get \(\displaystyle 93\) as our final answer. 

Example Question #52 : How To Find Range

Find the range in the following set of numbers:

\(\displaystyle 9, 21, 15, 6, 19, 7, 9, 18, 9, 11\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 21\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 15\)

Explanation:

To find the range of a set of numbers, we simply find the largest and smallest number and subtract them.  

The largest number is 21 and the smallest number is 16.  

So,

\(\displaystyle 21 - 6 = 15\)

Therefore, the range is 15.

Example Question #51 : How To Find Range

Find the range of the following data set.

\(\displaystyle 1,6,47,93,12,43,-36,45,12\)

Possible Answers:

\(\displaystyle 92\)

\(\displaystyle 57\)

\(\displaystyle 39\)

\(\displaystyle 129\)

Correct answer:

\(\displaystyle 129\)

Explanation:

Find the range of the following data set.

\(\displaystyle 1,6,47,93,12,43,-36,45,12\)

To find range, first identify the smallest and largest terms in your data set.

In this case, the largest number is 93

The smallest number is -36

Now, to find the range, we need to find the difference between them:

\(\displaystyle 93--36=129\)

So our range is 129.

Example Question #52 : How To Find Range

Find the range of the following set of numbers:

\(\displaystyle 1,3,4,7,10,13,16,17,19\)

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 10\)

\(\displaystyle 9\)\(\displaystyle 13\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 18\)

Explanation:

To find range, simply subtract the smallest from the largest. Thus,

\(\displaystyle range=19-1=18\)

Example Question #53 : How To Find Range

Find the range of the following set of numbers:

\(\displaystyle 12,34,65,76,12,34,54,789,98,2,44,34\)

Possible Answers:

\(\displaystyle 34\)

\(\displaystyle 104.5\)

\(\displaystyle 39\)

\(\displaystyle 787\)

Correct answer:

\(\displaystyle 787\)

Explanation:

Find the range of the following set of numbers:

\(\displaystyle 12,34,65,76,12,34,54,789,98,2,44,34\)

Range can be found by subtracting the smallest number from the largest number. 

\(\displaystyle 789-2=787\)

So our answer is 787

Example Question #2054 : Algebra 1

A group of students recorded humidity for a week for a project. Here is their data set:

10%, 7%, 23%, 100%, 2%, 6%, 3%

What is the range of their data set?

Possible Answers:

\(\displaystyle 98\)

\(\displaystyle 2\)

\(\displaystyle 8\)

\(\displaystyle 90\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 98\)

Explanation:

The range of the data set is the difference between the greatest and lowest values of a data set. In order to solve for range, you must order the data set from least to greatest so you may take the difference. 

The data set:

10%, 7%, 23%, 100%, 2%, 6%, 3%

may be rearranged as follows:

2%, 3%, 6%, 7%, 10%, 23%, 100%

This allows us to see that the smallest number is 2% and the greatest is 100%.

Therefore, in order to solve for the range:

\(\displaystyle 100-2 = {\color{Blue} 98}\)

Example Question #56 : How To Find Range

What is the range of a class's state exam results if the scores are the following?

\(\displaystyle 87,86,42,91,93,87,87,94,62,91,92,31,87,87\)

Possible Answers:

\(\displaystyle 87\)

\(\displaystyle 56\)

\(\displaystyle 91\)

\(\displaystyle 94\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 63\)

Explanation:

The range of the data set is the difference between the greatest and lowest values of a data set. In order to solve for range, you must order the data set from least to greatest so you may take the difference. 

The data set:

\(\displaystyle 87,86,42,91,93,87,87,94,62,91,92,31,87,87\)

may be rearranged as follows:

\(\displaystyle 31, 42,62,86,87,87,87,87,87,91,91,92,93,94\)

This allows us to see that the smallest number is 31 and the greatest is 94.

Therefore, in order to solve for the range:

\(\displaystyle 94-31 = {\color{Blue} 63}\)

Example Question #56 : How To Find Range

A P.E. class took the height of every student in inches. These were the results:

\(\displaystyle 48,46,56,53,44,38,39,42,44,47,51,49,60,25\)

Find the range of the class's data set.

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 60\)

\(\displaystyle 37\)

\(\displaystyle 25\)

\(\displaystyle 42\)

Correct answer:

\(\displaystyle 35\)

Explanation:

The range of the data set is the difference between the greatest and lowest values of a data set. In order to solve for range, you must order the data set from least to greatest so you may take the difference. 

The data set:

\(\displaystyle 48,46,56,53,44,38,39,42,44,47,51,49,60,25\)

may be rearranged as follows:

\(\displaystyle 25,38,39,42,44,44,46,47,48,49,51,53,56,60\)

This allows us to see that the smallest number is 25 and the greatest is 60.

Therefore, in order to solve for the range:

\(\displaystyle 60-25 = {\color{Blue} 35}\)

Example Question #57 : How To Find Range

Find the range of the following number set:

\(\displaystyle 147,22,465,7,33,465,88,97,102,22,1,109,465\)

 

 
Possible Answers:

\(\displaystyle 464\)

\(\displaystyle 156\)

\(\displaystyle 97\)

\(\displaystyle 106\)

Correct answer:

\(\displaystyle 464\)

Explanation:

Find the range of the following number set:

\(\displaystyle 147,22,465,7,33,465,88,97,102,22,1,109,465\)

To find the range, we need to find the greatest and smallest terms in the set.

\(\displaystyle 465\) is our greatest value, \(\displaystyle 1\) is our least value

So...

\(\displaystyle 465-1=464\)

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