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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $4, 4, 6, 7, 9$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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Calculate quartiles and interquartile range

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

4, 4, 6, 7, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median: Step $1$ : Identify the median of the data set $4, 4, 6, 7, 9$ . Since there are $5$ numbers, the median is the middle number. Calculation: The third number is $6$ . Median $= 6$
Identify Lower Quartile: Step $2$ : Identify the lower quartile of the data set. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median if necessary. $\newline$ First half is $4, 4$ . $\newline$ Calculation: The median of $4$ and $4$ is $4$ . $\newline$ Lower quartile $= 4$
Identify Upper Quartile: Step $3$ : Identify the upper quartile of the data set. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median if necessary. $\newline$ Second half is $7, 9$ . $\newline$ Calculation: The median of $7$ and $9$ is $(7 + 9) / 2 = 8$ . $\newline$ Upper quartile = $8$

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