In the data set below, what are the lower quartile, the median, and the upper quartile? 17, 37, 42, 44, 44, 49, 75, 82, 84, 96, 97 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 17, 37, 42, 44, 44, 49, 75, 82, 84, 96, 97. There are 11 numbers in the data set, so the median is the middle number, which is the 6th number. Median: 49Find Median: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if it's an odd number of data points. First half is 17, 37, 42, 44, 44. Lower quartile data: 17, 37, 42, 44, 44Identify Lower Quartile: Find the value of the lower quartile. Lower quartile data: 17, 37, 42, 44, 44 Since there are 5 numbers, the lower quartile is the middle number, which is the 3rd number. Lower quartile: 42Find Lower Quartile: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it's an odd number of data points. Second half is 75, 82, 84, 96, 97. Upper quartile data: 75, 82, 84, 96, 97Identify Upper Quartile: Find the value of the upper quartile. Upper quartile data: 75, 82, 84, 96, 97 Since there are 5 numbers, the upper quartile is the middle number, which is the 3rd number. Upper quartile: 84

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $17, 37, 42, 44, 44, 49, 75, 82, 84, 96, 97$ $\newline$ 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

17, 37, 42, 44, 44, 49, 75, 82, 84, 96, 97

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order and find the median. $\newline$ The data set is already in ascending order: $17, 37, 42, 44, 44, 49, 75, 82, 84, 96, 97$ . $\newline$ There are $11$ numbers in the data set, so the median is the middle number, which is the $6$ th number. $\newline$ Median: $49$
Find Median: Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median if it's an odd number of data points. $\newline$ First half is $17, 37, 42, 44, 44$ . $\newline$ Lower quartile data: $17, 37, 42, 44, 44$
Identify Lower Quartile: Find the value of the lower quartile. $\newline$ Lower quartile data: $17, 37, 42, 44, 44$ $\newline$ Since there are $5$ numbers, the lower quartile is the middle number, which is the $3$ rd number. $\newline$ Lower quartile: $42$
Find Lower 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 if it's an odd number of data points. $\newline$ Second half is $75, 82, 84, 96, 97$ . $\newline$ Upper quartile data: $75, 82, 84, 96, 97$
Identify Upper Quartile: Find the value of the upper quartile. $\newline$ Upper quartile data: $75, 82, 84, 96, 97$ $\newline$ Since there are $5$ numbers, the upper quartile is the middle number, which is the $3$ rd number. $\newline$ Upper quartile: $84$