In the data set below, what are the lower quartile, the median, and the upper quartile? 24, 31, 38, 55, 66, 69, 70, 70, 80, 88, 94 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order (if not already) and list it out. Data set: 24, 31, 38, 55, 66, 69, 70, 70, 80, 88, 94Find Median: Find the median of the data set. Since there are 11 numbers, the median will be the 6th number (as it is the middle number in an odd-numbered list). Median: 69Identify Lower Quartile: 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: 24, 31, 38, 55, 66Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile will be the median of this subset. Lower quartile: 38Identify Upper Quartile: 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: 70, 70, 80, 88, 94Find Upper Quartile: Find the value of the upper quartile. Since there are 5 numbers in the second half, the upper quartile will be the median of this subset. Upper quartile: 80

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $24, 31, 38, 55, 66, 69, 70, 70, 80, 88, 94$ $\newline$ 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

24, 31, 38, 55, 66, 69, 70, 70, 80, 88, 94

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order (if not already) and list it out. $\newline$ Data set: $24, 31, 38, 55, 66, 69, 70, 70, 80, 88, 94$
Find Median: Find the median of the data set. $\newline$ Since there are $11$ numbers, the median will be the $6$ th number (as it is the middle number in an odd-numbered list). $\newline$ Median: $69$
Identify Lower Quartile: 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: $24, 31, 38, 55, 66$
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Since there are $5$ numbers in the first half, the lower quartile will be the median of this subset. $\newline$ Lower quartile: $38$
Identify Upper Quartile: 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: $70, 70, 80, 88, 94$
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Since there are $5$ numbers in the second half, the upper quartile will be the median of this subset. $\newline$ Upper quartile: $80$