In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 1, 2, 2, 2, 4, 4, 7, 8, 8, 8 lower quartile = _____ median = _____ upper quartile = _____

Identify the Median: Step 1: Identify the median of the data set 1, 1, 2, 2, 2, 4, 4, 7, 8, 8, 8. Since there are 11 numbers, the median is the 6th number. Calculation: Median = 4 Determine Lower Quartile: Step 2: Determine the lower quartile. Consider the first half of the data set, excluding the median: 1, 1, 2, 2, 2. Since there are 5 numbers, the lower quartile is the 3rd number. Calculation: Lower quartile = 2 Determine Upper Quartile: Step 3: Determine the upper quartile. Consider the second half of the data set, excluding the median: 4, 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? $\newline$ $1, 1, 2, 2, 2, 4, 4, 7, 8, 8, 8$ $\newline$ 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

1, 1, 2, 2, 2, 4, 4, 7, 8, 8, 8

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the Median: Step $1$ : Identify the median of the data set $1, 1, 2, 2, 2, 4, 4, 7, 8, 8, 8$ . Since there are $11$ numbers, the median is the $6$ th number. Calculation: Median $= 4$
Determine Lower Quartile: Step $2$ : Determine the lower quartile. $\newline$ Consider the first half of the data set, excluding the median: $1, 1, 2, 2, 2$ . $\newline$ Since there are $5$ numbers, the lower quartile is the $3$ rd number. $\newline$ Calculation: Lower quartile $= 2$
Determine Upper Quartile: Step $3$ : Determine the upper quartile. $\newline$ Consider the second half of the data set, excluding the median: $4, 7, 8, 8, 8$ . $\newline$ Since there are $5$ numbers, the upper quartile is the $3$ rd number. $\newline$ Calculation: Upper quartile $= 8$