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A data set has a median of 25 and an interquartile range of 6 . A box-and-whisker plot is created to represent the data set. Which box-and-whisker plot could represent the data se
A.
B.
C.
D.

A data set has a median of $25$ and an interquartile range of $6$ . A box-and-whisker plot is created to represent the data set. Which box-and-whisker plot could represent the data se $\newline$ A. $\newline$ B. $\newline$ C. $\newline$ D.

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Solve word problems by finding two-variable equations

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Q. A data set has a median of

25

and an interquartile range of

6

. A box-and-whisker plot is created to represent the data set. Which box-and-whisker plot could represent the data se

\newline

A.

\newline

B.

\newline

C.

\newline

D.

Identify Median and IQR: Identify the median and interquartile range (IQR) from the question. $\newline$ Median = $25$ , IQR = $6$ .
Calculate Q $1$ and Q $3$ : Calculate the first quartile ( $Q1$ ) and the third quartile ( $Q3$ ) using the median and IQR. $\newline$ $Q1 = \text{Median} - (\text{IQR}/2)$ , $Q3 = \text{Median} + (\text{IQR}/2)$ . $\newline$ $Q1 = 25 - (6/2)$ , $Q3 = 25 + (6/2)$ .
Perform Calculations for Q $1$ and Q $3$ : Perform the calculations for Q $1$ and Q $3$ . $\newline$ $Q1 = 25 - 3$ , $Q3 = 25 + 3$ . $\newline$ $Q1 = 22$ , $Q3 = 28$ .
Check Box-and-Whisker Plots: Check the box-and-whisker plots $A$ , $B$ , $C$ , and $D$ to see which one has a median of $25$ and quartiles at $22$ and $28$ .

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