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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 3, 4, 6, 9, 9, 9$ $\newline$ 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

2, 3, 4, 6, 9, 9, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set $2, 3, 4, 6, 9, 9, 9$ . Since there are $7$ numbers, the median is the fourth number. Calculation: Median $= 6$
Determine lower quartile: Step $2$ : Determine the lower quartile. $\newline$ The lower quartile is the median of the first half of the data set (excluding the median of the entire set). $\newline$ First half: $2, 3, 4$ $\newline$ Calculation: Lower quartile $= 3$
Determine upper quartile: Step $3$ : Determine the upper quartile. $\newline$ The upper quartile is the median of the second half of the data set (excluding the median of the entire set). $\newline$ Second half: $9, 9, 9$ $\newline$ Calculation: Upper quartile $= 9$

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