In the data set below, what are the lower quartile, the median, and the upper quartile? 18, 20, 21, 56, 63, 73, 86 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set 18, 20, 21, 56, 63, 73, 86. Since there are 7 numbers, the median is the fourth number. Calculation: Median = 56 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: 18, 20, 21. Calculation: Lower quartile = 20 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: 63, 73, 86. Calculation: Upper quartile = 73

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $18, 20, 21, 56, 63, 73, 86$ $\newline$ 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

18, 20, 21, 56, 63, 73, 86

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify the median: Step $1$ : Identify the median of the data set $18, 20, 21, 56, 63, 73, 86$ . Since there are $7$ numbers, the median is the fourth number. Calculation: Median $= 56$
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: $18$ , $20$ , $21$ . $\newline$ Calculation: Lower quartile $= 20$
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: $63, 73, 86$ . $\newline$ Calculation: Upper quartile $= 73$