In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 4, 5, 8, 8, 8 lower quartile = _____ median = _____ upper quartile = _____

Identify the Median: Step 1: Identify the median of the data set 2, 2, 4, 5, 8, 8, 8. Since there are 7 numbers, the median is the fourth number. Calculation: Median = 5 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: 2, 2, 4 Calculation: Lower quartile = 2 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: 8, 8, 8 Calculation: Upper quartile = 8

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 2, 4, 5, 8, 8, 8$ $\newline$ 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

2, 2, 4, 5, 8, 8, 8

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the Median: Step $1$ : Identify the median of the data set $2, 2, 4, 5, 8, 8, 8$ . Since there are $7$ numbers, the median is the fourth number. Calculation: Median $= 5$
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: $2, 2, 4$ $\newline$ Calculation: Lower quartile $= 2$
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: $8, 8, 8$ $\newline$ Calculation: Upper quartile $= 8$