In the data set below, what are the lower quartile, the median, and the upper quartile? 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order and list it out. The data set is already in ascending order: 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9.Find Median: Find the median of the data set. There are 11 numbers in the data set, so the median will be the 6th number (since (11 + 1) / 2 = 6). The median is 6.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's an odd number of data points. First half is 4, 4, 5, 5, 6.Find Lower Quartile: Find the value of the lower quartile. There are 5 numbers in the first half, so the lower quartile will be the 3rd number (since (5 + 1) / 2 = 3). The lower quartile is 5.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's an odd number of data points. Second half is 6, 7, 8, 8, 9.Find Upper Quartile: Find the value of the upper quartile. There are 5 numbers in the second half, so the upper quartile will be the 3rd number (since (5 + 1) / 2 = 3). The upper quartile is 8.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 5 Median = 6 Upper quartile = 8

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9$ $\newline$ 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

4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Arrange Data Set: Arrange the data set in ascending order and list it out. $\newline$ The data set is already in ascending order: $4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9$ .
Find Median: Find the median of the data set. $\newline$ There are $11$ numbers in the data set, so the median will be the $6$ th number (since $(11 + 1) / 2 = 6$ ). $\newline$ The median is $6$ .
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's an odd number of data points. $\newline$ First half is $4, 4, 5, 5, 6$ .
Find Lower Quartile: Find the value of the lower quartile. $\newline$ There are $5$ numbers in the first half, so the lower quartile will be the $3$ rd number (since $(5 + 1) / 2 = 3$ ). $\newline$ The lower quartile is $5$ .
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's an odd number of data points. $\newline$ Second half is $6, 7, 8, 8, 9$ .
Find Upper Quartile: Find the value of the upper quartile. $\newline$ There are $5$ numbers in the second half, so the upper quartile will be the $3$ rd number (since $(5 + 1) / 2 = 3$ ). $\newline$ The upper quartile is $8$ .
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. $\newline$ Lower quartile = $5$ $\newline$ Median = $6$ $\newline$ Upper quartile = $8$