In the data set below, what are the lower quartile, the median, and the upper quartile? 11, 11, 15, 23, 29, 73 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: 11, 11, 15, 23, 29, 73.Find Median: Find the median of the data set. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Median = (15 + 23) / 2 = 38 / 2 = 19.Identify 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 single number. First half is 11, 11, 15.Find Lower Quartile Value: Find the value of the lower quartile. Since there are 3 numbers in the first half, the lower quartile is the middle number. Lower quartile = 11.Identify 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 single number. Second half is 23, 29, 73.Find Upper Quartile Value: Find the value of the upper quartile. Since there are 3 numbers in the second half, the upper quartile is the middle number. Upper quartile = 29.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $11, 11, 15, 23, 29, 73$ $\newline$ 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

11, 11, 15, 23, 29, 73

\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: $11, 11, 15, 23, 29, 73$ .
Find Median: Find the median of the data set. $\newline$ Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. $\newline$ Median = $(15 + 23) / 2 = 38 / 2 = 19$ .
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 single number. $\newline$ First half is $11$ , $11$ , $15$ .
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ Since there are $3$ numbers in the first half, the lower quartile is the middle number. $\newline$ Lower quartile $= 11$ .
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 single number. $\newline$ Second half is $23$ , $29$ , $73$ .
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ Since there are $3$ numbers in the second half, the upper quartile is the middle number. $\newline$ Upper quartile $= 29$ .