In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 45, 45, 45, 56, 63, 63, 71, 75, 90, 99 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 20, 45, 45, 45, 56, 63, 63, 71, 75, 90, 99. Since there are 11 numbers, the median is the 6th number. Calculation: Median = 63 Identify lower quartile data: Step 2: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. First half: 20, 45, 45, 45, 56. Calculation: Lower quartile data = 20, 45, 45, 45, 56 Find lower quartile value: Step 3: Find the value of the lower quartile. Lower quartile data: 20, 45, 45, 45, 56. Since there are 5 numbers, the lower quartile is the 3rd number. Calculation: Lower quartile = 45 Identify upper quartile data: Step 4: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. Second half: 63, 71, 75, 90, 99. Calculation: Upper quartile data = 63, 71, 75, 90, 99 Find upper quartile value: Step 5: Find the value of the upper quartile. Upper quartile data: 63, 71, 75, 90, 99. Since there are 5 numbers, the upper quartile is the 3rd number. Calculation: Upper quartile = 75

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $20, 45, 45, 45, 56, 63, 63, 71, 75, 90, 99$ $\newline$ 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

20, 45, 45, 45, 56, 63, 63, 71, 75, 90, 99

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $20, 45, 45, 45, 56, 63, 63, 71, 75, 90, 99$ . $\newline$ Since there are $11$ numbers, the median is the $6$ th number. $\newline$ Calculation: Median $= 63$
Identify lower quartile data: Step $2$ : Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median. $\newline$ First half: $20, 45, 45, 45, 56$ . $\newline$ Calculation: Lower quartile data = $20, 45, 45, 45, 56$
Find lower quartile value: Step $3$ : Find the value of the lower quartile. $\newline$ Lower quartile data: $20, 45, 45, 45, 56$ . $\newline$ Since there are $5$ numbers, the lower quartile is the $3$ rd number. $\newline$ Calculation: Lower quartile $= 45$
Identify upper quartile data: Step $4$ : Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median. $\newline$ Second half: $63, 71, 75, 90, 99$ . $\newline$ Calculation: Upper quartile data = $63, 71, 75, 90, 99$
Find upper quartile value: Step $5$ : Find the value of the upper quartile. $\newline$ Upper quartile data: $63, 71, 75, 90, 99$ . $\newline$ Since there are $5$ numbers, the upper quartile is the $3$ rd number. $\newline$ Calculation: Upper quartile $= 75$