Range

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Algebra 2 › Range

Questions 1 - 10
1

Determine the range of the following numbers:

Explanation

The range is defined as the difference of the highest and lowest numbers.

The highest number is 41.

The lowest number is 3.

Subtract both numbers.

The answer is:

2

Determine the range of the numbers:

Explanation

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

The highest number is 11.

The smallest number is negative three.

Subtract both numbers. Use parentheses to embrace the negative value.

The answer is:

3

What is the range of the following data set?

Explanation

What is the range of the following data set?

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

So our range is

4

Mrs. Potter gave a test to her Algebra II class, and the scores were as follows:

What is the range of the test scores?

Explanation

The range is simply the maximum value minus the minimum value. The highest test score was , and the lowest was .

, so the range of the test scores was 27.

5

Determine the range of the numbers:

Explanation

The range of a data set is the difference between the largest and smallest numbers.

Identify the largest number:

Identify the smallest number:

Subtract both quantities.

The answer is:

6

Determine the range of the numbers:

Explanation

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

The largest number is:

The smallest number is:

Subtract the two quantities.

The answer is:

7

Suppose the ages of a college chemistry class were recorded and the ages reported were as follows:

What is the range of this data?

Explanation

The range is calculated by subtracting the smallest value from the largest value: .

8

Determine the range of the numbers:

Explanation

Identify the largest and smallest numbers. The range is the difference between the highest and lowest numbers.

The largest number is 500.

The smallest number is negative 74.

Subtract both numbers. Brace the negative number using parentheses since this is a quantity.

The answer is:

9

Find the range of the data set:

Explanation

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

The highest number is 21.

The smallest number is negative 10.

Subtract both numbers. Make sure to enclose the negative 10 in parentheses.

The answer is:

10

The range of the following data set is 18. What is a possible value for ?

Cannot be determined

Explanation

Arrange the known values in the set in numerical order: {–5, –2, 1, 3, 5, 7, 7, 10}. The range is the difference between the largest value and smallest value.

x must be either the largest or the smallest value in the set.

range = x – smallest value

18 = x – (–5)

18 = x + 5

13 = x

OR

range = largest value – x

18 = 10 – x

8 = –x

–8 = x

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