In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 5, 6, 7, 7, 7, 8, 9, 9, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order, if it is not already. The data set is already in ascending order: 2, 5, 6, 7, 7, 7, 8, 9, 9, 9, 9.Find Median: Find the median of the data set. There are 11 numbers in the data set, so the median will be the middle number, which is the 6th number. The median is 7.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. The first half is 2, 5, 6, 7, 7.Find Lower Quartile Value: Find the value of the lower quartile. There are 5 numbers in the first half, so the lower quartile will be the middle number of this subset. The lower quartile is 6.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. The second half is 7, 8, 9, 9, 9, 9.Find Upper Quartile Value: Find the value of the upper quartile. There are 6 numbers in the second half, so the upper quartile will be the average of the 3rd and 4th numbers of this subset. The upper quartile is (9 + 9) / 2 = 9.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 5, 6, 7, 7, 7, 8, 9, 9, 9, 9$ $\newline$ 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

2, 5, 6, 7, 7, 7, 8, 9, 9, 9, 9

\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. $\newline$ The data set is already in ascending order: $2, 5, 6, 7, 7, 7, 8, 9, 9, 9, 9$ .
Find Median: Find the median of the data set. $\newline$ There are $11$ numbers in the data set, so the median will be the middle number, which is the $6$ th number. $\newline$ The median is $7$ .
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. The first half is $2, 5, 6, 7, 7$ .
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ There are $5$ numbers in the first half, so the lower quartile will be the middle number of this subset. $\newline$ The lower quartile is $6$ .
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. $\newline$ The second half is $7, 8, 9, 9, 9, 9$ .
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ There are $6$ numbers in the second half, so the upper quartile will be the average of the $3$ rd and $4$ th numbers of this subset. $\newline$ The upper quartile is $(9 + 9) / 2 = 9$ .