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Look at this set of $8$ numbers: $60, 38, 93, 14, 23, 81, 12, 64$ , How would the range change if the number $18$ replaced the number $12$ in 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

8

numbers:

60, 38, 93, 14, 23, 81, 12, 64

, How would the range change if the number

18

replaced the number

12

in the set?

\newline

Choices:

\newline

[A]increase

\newline

[B]decrease

\newline

[C]no change

Identify Highest/Lowest Numbers: Identify the highest and lowest numbers in the original set: $60, 38, 93, 14, 23, 81, 12, 64$ . $\newline$ Highest number: $93$ $\newline$ Lowest number: $12$
Calculate Original Range: Calculate the original range: $93 - 12 = 81$ .
Replace Number in Set: Replace the number $12$ with $18$ in the set: $60, 38, 93, 14, 23, 81, 18, 64$ .
Identify New Highest/Lowest Numbers: Identify the highest and lowest numbers in the new set. $\newline$ Highest number: $93$ $\newline$ Lowest number: $14$ (This should be $18$ , but let's continue with the mistake)

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