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Look at this set of $5$ numbers: $\newline$ $34, 32, 12, 36, 32$ $\newline$ How would the mode change if the number $21$ 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

5

numbers:

\newline

34, 32, 12, 36, 32

\newline

How would the mode change if the number

21

were added to the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

Identify Mode: Identify the mode of the original data set. $\newline$ The original data set is $34, 32, 12, 36, 32$ . The number $32$ appears twice, which is more than any other number. $\newline$ Mode of original set: $32$
Add Number $21$ : Add the number $21$ to the data set and identify the new mode. $\newline$ New data set: $34, 32, 12, 36, 32, 21$ . The number $32$ still appears twice, and no other number appears more frequently. $\newline$ New Mode: $32$
Compare Modes: Compare the original mode with the new mode. $\newline$ Original Mode: $32$ , New Mode: $32$ . The mode remains unchanged after adding the number $21$ .

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