In the data set below, what are the lower quartile, the median, and the upper quartile? 23, 48, 71, 72, 76, 86, 88 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set 23, 48, 71, 72, 76, 86, 88. Since there are 7 numbers, the median is the fourth number. Calculation: Median = 72 Determine lower quartile: Step 2: Determine the lower quartile. The lower quartile is the median of the first half of the data set, excluding the median of the entire set. First half: 23, 48, 71 Calculation: Lower quartile = 48 Determine upper quartile: Step 3: Determine the upper quartile. The upper quartile is the median of the second half of the data set, excluding the median of the entire set. Second half: 76, 86, 88 Calculation: Upper quartile = 86

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $23, 48, 71, 72, 76, 86, 88$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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Math Problems

Algebra 1

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

23, 48, 71, 72, 76, 86, 88

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify the median: Step $1$ : Identify the median of the data set $23, 48, 71, 72, 76, 86, 88$ . Since there are $7$ numbers, the median is the fourth number. Calculation: Median $= 72$
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: $23$ , $48$ , $71$ $\newline$ Calculation: Lower quartile = $48$
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: $76$ , $86$ , $88$ $\newline$ Calculation: Upper quartile = $86$