In the data set below, what are the lower quartile, the median, and the upper quartile? 10, 23, 28, 57, 57, 70, 74, 76, 82, 84, 93 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 10, 23, 28, 57, 57, 70, 74, 76, 82, 84, 93. Since there are 11 numbers, the median is the 6th number. Calculation: Median = 70.Identify the lower quartile: Step 2: Identify the lower quartile. Consider the first half of the data set, excluding the median: 10, 23, 28, 57, 57. Since there are 5 numbers, the lower quartile is the 3rd number. Calculation: Lower quartile = 28.Identify the upper quartile: Step 3: Identify the upper quartile. Consider the second half of the data set, excluding the median: 74, 76, 82, 84, 93. Since there are 5 numbers, the upper quartile is the 3rd number. Calculation: Upper quartile = 82.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $10, 23, 28, 57, 57, 70, 74, 76, 82, 84, 93$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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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

10, 23, 28, 57, 57, 70, 74, 76, 82, 84, 93

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $10, 23, 28, 57, 57, 70, 74, 76, 82, 84, 93$ . $\newline$ Since there are $11$ numbers, the median is the $6$ th number. $\newline$ Calculation: Median $= 70$ .
Identify the lower quartile: Step $2$ : Identify the lower quartile. $\newline$ Consider the first half of the data set, excluding the median: $10, 23, 28, 57, 57$ . $\newline$ Since there are $5$ numbers, the lower quartile is the $3$ rd number. $\newline$ Calculation: Lower quartile $= 28$ .
Identify the upper quartile: Step $3$ : Identify the upper quartile. $\newline$ Consider the second half of the data set, excluding the median: $74$ , $76$ , $82$ , $84$ , $93$ . $\newline$ Since there are $5$ numbers, the upper quartile is the $3$ rd number. $\newline$ Calculation: Upper quartile $= 82$ .