ISEE Middle Level Math : Range

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #41 : How To Find Range

Find the range for this set of numbers:

\(\displaystyle 88, 85, 82, 86, 84\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 1\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 6\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 82,84,85,86,88\)

Then, subtract the smallest number from the largest number: \(\displaystyle 88-82=6\)

Answer: \(\displaystyle 6\)

Example Question #42 : Range

Find the range in this set of numbers:

\(\displaystyle 77, 78, 76, 72, 71\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle \ 76\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 7\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 71,72,76,77,78\)

Then, subtract the smallest number from the largest number: \(\displaystyle 78-71=7\)

Answer: \(\displaystyle 7\)

 

Example Question #42 : How To Find Range

Find the range for this set of numbers:

\(\displaystyle 44, 45, 42, 48, 49, 41, 41\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 8\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 41, 41, 42, 44, 45, 48, 49\)

Then, subtract the smallest number from the largest: \(\displaystyle 49-41=8\)

Answer: \(\displaystyle 8\)

Example Question #44 : Range

Find the range for this set of numbers:

\(\displaystyle 91, 99, 108, 111, 98, 99, 100\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 99\)

\(\displaystyle 20\)

\(\displaystyle 12\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 20\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 91, 98, 99, 99, 100, 108, 111\)

Then, subtract the smallest number from the largest number: \(\displaystyle 111-91=20\)

Answer: \(\displaystyle 20\)

Example Question #45 : Range

Find the range in this set of numbers:

\(\displaystyle 61, 68, 60, 67, 66, 60, 63\)

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 9\)

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 8\)

Explanation:

First order the numbers from least to greatest:

\(\displaystyle 60, 60, 61, 63, 66, 67, 68\)

Then, subtract the smallest number from the largest number:

\(\displaystyle 68-60=8\)

Answer: \(\displaystyle 8\)

Example Question #46 : Range

Find the range for this set of numbers:

\(\displaystyle 33, 39, 35, 33, 36\)

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 33\)

Correct answer:

\(\displaystyle 6\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 33, 33, 35, 36, 39\)

Then, subtract the smallest number from the largest number:  \(\displaystyle 39-33=6\)

Answer: \(\displaystyle 6\)

 

 

Example Question #47 : Range

Find the range in this set of number:

\(\displaystyle 43,34,39,48,35,43,46\)

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 15\)

\(\displaystyle 13\)

\(\displaystyle 10\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 14\)

Explanation:

First order the numbers from least to greatest:

\(\displaystyle 34, 35, 39, 43, 43, 46, 48\)

Then, subtract the smallest number from the largest number:

\(\displaystyle 48-34=14\)

Answer: \(\displaystyle 14\)

 

 

Example Question #43 : How To Find Range

\(\displaystyle \left \{ 11,10,9,10,15,12,10 \right \}\)

Find the range of the data set above.

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 15\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

To find the range, you must subtract the lowest term from the greatest term in the data set. The greatest term is 15. The lowest term is 9. Therefore, to find the range, you calculate \(\displaystyle 15-9\). The answer is 6.

Example Question #49 : Range

Find the range for this set of numbers:

\(\displaystyle 87,88,81,82,86,81,80\)

Possible Answers:

\(\displaystyle 82\)

\(\displaystyle 81\)

\(\displaystyle 2\)

\(\displaystyle 8\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 8\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 80, 81, 81,82, 86, 87,88\)

Then, subtract the smallest number from the largest: \(\displaystyle 88-80=8\)

Answer: \(\displaystyle 8\)

Example Question #41 : How To Find Range

Find the range in this set of numbers:

\(\displaystyle 589, 588, 584, 586, 586\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 5\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 5\)

Explanation:

First order the numbers from least to greatest:

\(\displaystyle 584, 586, 586, 588, 589\)

Then, subtract the smallest number from the largest: \(\displaystyle 589-584=5\)

Answer: \(\displaystyle 5\)

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