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Look at this set of $7$ numbers: $\newline$ $3, 3, 6, 1, 2, 6, 8$ $\newline$ How would the range change if the number $9$ were added to the set? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease $\newline$ (C)no change

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Changes in mean, median, mode, and range

Full solution

Q. Look at this set of

7

numbers:

\newline

3, 3, 6, 1, 2, 6, 8

\newline

How would the range change if the number

9

were added to the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

Identify current range: Step $1$ : Identify the current range of the set $3, 3, 6, 1, 2, 6, 8$ . To find the range, subtract the smallest number from the largest number in the set. Current smallest number = $1$ , Current largest number = $8$ . Range = $8 - 1 = 7$ .
Add number $9$ : Step $2$ : Add the number $9$ to the set and identify the new range. $\newline$ New set: $3, 3, 6, 1, 2, 6, 8, 9$ . $\newline$ New smallest number = $1$ , New largest number = $9$ . $\newline$ New Range = $9 - 1 = 8$ .
Compare old and new range: Step $3$ : Compare the old range ( $7$ ) with the new range ( $8$ ). $\newline$ Since $8$ is greater than $7$ , the range has increased.

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