ISEE Middle Level Math : Data Analysis

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

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Example Questions

Example Question #41 : Data Analysis

Find the range for this set of numbers:

\(\displaystyle 22, 27, 28, 29, 26\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 13\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 7\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 22, 26, 27, 28, 29\)

Then, subtract the smallest number from the largest number: \(\displaystyle 29-22=7\)

Answer: \(\displaystyle 7\)

Example Question #35 : How To Find Range

Find the range in this set:

\(\displaystyle 39, 33, 37, 31, 30\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 33\)

\(\displaystyle 7\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

First order the number from least to greatest:

\(\displaystyle 30, 31, 33, 37, 39\)

Then, subtract the smallest from the largest number: \(\displaystyle 39-30=9\)

Answer: The range is \(\displaystyle 9\).

 

 

Example Question #41 : Data Analysis

Find the range for this set of numbers:

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

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle 1\)

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 : How To Find Range

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle \ 76\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 8\)

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 : Data Analysis

Find the range for this set of numbers:

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

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 1\)

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 #43 : Data Analysis And Probability

Find the range for this set of numbers:

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

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 99\)

\(\displaystyle 20\)

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 #43 : Data Analysis

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 60\)

\(\displaystyle 9\)

\(\displaystyle 8\)

\(\displaystyle 6\)

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 #43 : How To Find Range

Find the range for this set of numbers:

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

Possible Answers:

\(\displaystyle 33\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 6\)

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 #41 : Data Analysis And Probability

Find the range in this set of number:

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

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 8\)

\(\displaystyle 10\)

\(\displaystyle 13\)

\(\displaystyle 14\)

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 : Data Analysis

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

Find the range of the data set above.

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 15\)

\(\displaystyle 8\)

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.

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