In the data set below, what are the lower quartile, the median, and the upper quartile? 58, 80, 83, 90, 92 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. The data set given is: 58, 80, 83, 90, 92 It is already in ascending order, so no need to rearrange.Find Median: Find the median of the data set. Since there are 5 numbers, the median is the middle number. The median is the third number in the ordered list: 83. Median = 83Lower Quartile Data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, up to and including the median. First half is 58, 80, 83. Lower quartile data: 58, 80Find Lower Quartile: Find the value of the lower quartile. Since there are two numbers, the lower quartile is the average of these two numbers. Lower quartile = (58 + 80) / 2 Lower quartile = 138 / 2 Lower quartile = 69Upper Quartile Data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, starting with the median. Second half is 83, 90, 92. Upper quartile data: 90, 92Find Upper Quartile: Find the value of the upper quartile. Since there are two numbers, the upper quartile is the average of these two numbers. Upper quartile = (90 + 92) / 2 Upper quartile = 182 / 2 Upper quartile = 91

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $58, 80, 83, 90, 92$ $\newline$ 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

58, 80, 83, 90, 92

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. $\newline$ The data set given is: $58, 80, 83, 90, 92$ $\newline$ It is already in ascending order, so no need to rearrange.
Find Median: Find the median of the data set. $\newline$ Since there are $5$ numbers, the median is the middle number. $\newline$ The median is the third number in the ordered list: $83$ . $\newline$ Median $= 83$
Lower Quartile Data: Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, up to and including the median. $\newline$ First half is $58$ , $80$ , $83$ . $\newline$ Lower quartile data: $58$ , $80$
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Since there are two numbers, the lower quartile is the average of these two numbers. $\newline$ Lower quartile = $(58 + 80) / 2$ $\newline$ Lower quartile = $138 / 2$ $\newline$ Lower quartile = $69$
Upper Quartile Data: Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, starting with the median. $\newline$ Second half is $83$ , $90$ , $92$ . $\newline$ Upper quartile data: $90$ , $92$
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Since there are two numbers, the upper quartile is the average of these two numbers. $\newline$ Upper quartile = $(90 + 92) / 2$ $\newline$ Upper quartile = $182 / 2$ $\newline$ Upper quartile = $91$