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Look at this set of $8$ numbers: $\newline$ $5, 3, 1, 3, 6, 1, 8, 3$ $\newline$ How would the mode change if the number $6$ were added to the set? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease $\newline$ (C)no change $\newline$

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Changes in mean, median, mode, and range

Full solution

Q. Look at this set of

8

numbers:

\newline

5, 3, 1, 3, 6, 1, 8, 3

\newline

How would the mode change if the number

6

were added to the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

\newline

Identify Mode: Identify the mode of the original data set. $\newline$ The original data set is: $5, 3, 1, 3, 6, 1, 8, 3$ . $\newline$ Count of each number: $1$ appears $2$ times, $3$ appears $3$ times, $5$ appears $1$ time, $6$ appears $1$ time, $8$ appears $1$ time. $\newline$ Mode of the original set is $3$ .
Original Data Set: Add the number $6$ to the data set and identify the new mode. $\newline$ New data set: $5, 3, 1, 3, 6, 1, 8, 3, 6$ . $\newline$ Count of each number: $1$ appears $2$ times, $3$ appears $3$ times, $5$ appears $1$ time, $6$ appears $2$ times, $5, 3, 1, 3, 6, 1, 8, 3, 6$ $0$ appears $1$ time. $\newline$ Mode of the new set remains $3$ .

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