In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 3, 3, 5, 6, 7, 7, 8, 8, 8 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 2, 2, 3, 3, 5, 6, 7, 7, 8, 8, 8 Since there are 11 numbers, the median is the 6th number. Calculation: Median = 6 Identify the lower quartile: Step 2: Identify the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. Data for lower quartile: 2, 2, 3, 3, 5 Since there are 5 numbers, the lower quartile is the 3rd number. Calculation: Lower quartile = 3 Identify the upper quartile: Step 3: Identify the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. Data for upper quartile: 7, 7, 8, 8, 8 Since there are 5 numbers, the upper quartile is the 3rd number. Calculation: Upper quartile = 8

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 2, 3, 3, 5, 6, 7, 7, 8, 8, 8$ $\newline$ 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, 3, 3, 5, 6, 7, 7, 8, 8, 8

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $2, 2, 3, 3, 5, 6, 7, 7, 8, 8, 8$ $\newline$ Since there are $11$ numbers, the median is the $6$ th number. $\newline$ Calculation: Median $= 6$
Identify the lower quartile: Step $2$ : Identify the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median. $\newline$ Data for lower quartile: $2, 2, 3, 3, 5$ $\newline$ Since there are $5$ numbers, the lower quartile is the $3$ rd number. $\newline$ Calculation: Lower quartile $= 3$
Identify the upper quartile: Step $3$ : Identify the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median. $\newline$ Data for upper quartile: $7, 7, 8, 8, 8$ $\newline$ Since there are $5$ numbers, the upper quartile is the $3$ rd number. $\newline$ Calculation: Upper quartile $= 8$