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Look at this set of $6$ numbers: $\newline$ $8, 4, 2, 2, 2, 5$ $\newline$ How would the mode change if the number $3$ 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

6

numbers:

\newline

8, 4, 2, 2, 2, 5

\newline

How would the mode change if the number

3

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 $8, 4, 2, 2, 2, 5$ . The number $2$ appears most frequently, so the mode is $2$ .
Add Number: Add the number $3$ to the data set. $\newline$ New data set: $8, 4, 2, 2, 2, 5, 3$ .
Determine New Mode: Determine the mode of the new data set. $\newline$ The number $2$ still appears most frequently (three times), and no other number appears more than once. Therefore, the mode remains $2$ .

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