In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 52, 55, 58, 61, 61, 78 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted. The given data set is already in ascending order: 12, 52, 55, 58, 61, 61, 78.Find Median: Find the median of the data set. There are 7 numbers in the data set, so the median is the middle number, which is the fourth number in the list. Median: 58Identify Lower Quartile Data: 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 is a part of the data. First half is 12, 52, 55. Lower quartile data: 12, 52, 55Find Lower Quartile Value: Find the value of the lower quartile. The lower quartile is the median of the first half of the data set. Lower quartile data: 12, 52, 55 The median of this subset is 52. Lower quartile: 52Identify Upper Quartile Data: 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 is a part of the data. Second half is 61, 61, 78. Upper quartile data: 61, 61, 78Find Upper Quartile Value: Find the value of the upper quartile. The upper quartile is the median of the second half of the data set. Upper quartile data: 61, 61, 78 The median of this subset is 61. Upper quartile: 61

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 52, 55, 58, 61, 61, 78$ $\newline$ 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

12, 52, 55, 58, 61, 61, 78

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted. $\newline$ The given data set is already in ascending order: $12, 52, 55, 58, 61, 61, 78$ .
Find Median: Find the median of the data set. $\newline$ There are $7$ numbers in the data set, so the median is the middle number, which is the fourth number in the list. $\newline$ Median: $58$
Identify Lower Quartile Data: 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 is a part of the data. $\newline$ First half is $12$ , $52$ , $55$ . $\newline$ Lower quartile data: $12$ , $52$ , $55$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ The lower quartile is the median of the first half of the data set. $\newline$ Lower quartile data: $12$ , $52$ , $55$ $\newline$ The median of this subset is $52$ . $\newline$ Lower quartile: $52$
Identify Upper Quartile Data: 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 is a part of the data. $\newline$ Second half is $61$ , $61$ , $78$ . $\newline$ Upper quartile data: $61$ , $61$ , $78$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ The upper quartile is the median of the second half of the data set. $\newline$ Upper quartile data: $61$ , $61$ , $78$ $\newline$ The median of this subset is $61$ . $\newline$ Upper quartile: $61$