In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 22, 44, 49, 57, 62, 78, 84, 90, 90, 92 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 14, 22, 44, 49, 57, 62, 78, 84, 90, 90, 92. Since there are 11 numbers, the median is the 6th number. Calculation: Median = 62 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. First half: 14, 22, 44, 49, 57. The lower quartile is the median of this subset. Calculation: Lower quartile = 44 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. Second half: 78, 84, 90, 90, 92. The upper quartile is the median of this subset. Calculation: Upper quartile = 90

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 22, 44, 49, 57, 62, 78, 84, 90, 90, 92$ $\newline$ 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

14, 22, 44, 49, 57, 62, 78, 84, 90, 90, 92

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $14, 22, 44, 49, 57, 62, 78, 84, 90, 90, 92$ . $\newline$ Since there are $11$ numbers, the median is the $6$ th number. $\newline$ Calculation: Median $= 62$
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. $\newline$ First half: $14, 22, 44, 49, 57$ . $\newline$ The lower quartile is the median of this subset. $\newline$ Calculation: Lower quartile $= 44$
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. $\newline$ Second half: $78, 84, 90, 90, 92$ . $\newline$ The upper quartile is the median of this subset. $\newline$ Calculation: Upper quartile $= 90$