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Look at this set of $10$ numbers: $\newline$ $7, 2, 6, 5, 3, 9, 1, 2, 2, 9$ $\newline$ How would the median change if the number $5$ 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

10

numbers:

\newline

7, 2, 6, 5, 3, 9, 1, 2, 2, 9

\newline

How would the median change if the number

5

were added to the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

Arrange numbers in ascending order: Step $1$ : Arrange the original set of numbers in ascending order. $\newline$ Original set: $7, 2, 6, 5, 3, 9, 1, 2, 2, 9$ $\newline$ Ordered set: $1, 2, 2, 2, 3, 5, 6, 7, 9, 9$
Find median: Step $2$ : Find the median of the original set. $\newline$ Since there are $10$ numbers, the median is the average of the $5$ th and $6$ th numbers. $\newline$ Median = $(3 + 5) / 2 = 4$

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