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Look at this set of $6$ numbers: $\newline$ $33, 68, 13, 33, 50, 33$ $\newline$ How would the mode change if the number $76$ 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

33, 68, 13, 33, 50, 33

\newline

How would the mode change if the number

76

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 mode is the number that appears most frequently in the set. The numbers are $33$ , $68$ , $13$ , $33$ , $50$ , $33$ . The number $33$ appears three times, which is more than any other number. $\newline$ Mode: $33$
Add Number $76$ : Add the number $76$ to the data set. $\newline$ New data set: $33, 68, 13, 33, 50, 33, 76$ .
Determine New Mode: Determine the mode of the new data set. $\newline$ The number $33$ still appears three times, while all other numbers ( $68$ , $13$ , $50$ , $76$ ) appear only once. Therefore, $33$ remains the mode. $\newline$ New Mode: $33$

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