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Look at this set of $8$ numbers: $\newline$ $13, 62, 75, 66, 66, 66, 60, 48$ $\newline$ How would the mode change if the number $99$ 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

8

numbers:

\newline

13, 62, 75, 66, 66, 66, 60, 48

\newline

How would the mode change if the number

99

were added to the set?

\newline

Choices:

\newline

(A) increase

\newline

(B) decrease

\newline

(C) no change

List Original Set: Step $1$ : List the original set of numbers and identify the mode. $\newline$ Original set: $13, 62, 75, 66, 66, 66, 60, 48$ . $\newline$ Mode is the number that appears most frequently, which is $66$ .
Add Number $99$ : Step $2$ : Add the number $99$ to the set and list the new set. $\newline$ New set: $13, 62, 75, 66, 66, 66, 60, 48, 99$ .
Identify New Mode: Step $3$ : Identify the mode of the new set. $\newline$ In the new set, $66$ still appears most frequently (three times), and $99$ is added only once.

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