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

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 4, 5, 7, 9, 9, 9.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 4, 5, 7, 9, 9, 9.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 = (7 + 9) / 2 = 16 / 2 = 8Lower Quartile Data Set: 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. Since we have an even number of data points, we will use the first 3 numbers: 4, 5, 7.Find Lower Quartile: Find the value of the lower quartile. Since there are 3 numbers in the first half, the lower quartile is the 2nd number. Lower quartile = 5Upper Quartile Data Set: 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. We will use the last 3 numbers: 9, 9, 9.Find Upper Quartile: Find the value of the upper quartile. Since there are 3 numbers in the second half, the upper quartile is the 2nd number. Upper quartile = 9

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

4, 5, 7, 9, 9, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: $4, 5, 7, 9, 9, 9$ .
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: $4, 5, 7, 9, 9, 9$ .
Find Median: Find the median of the data set. Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. $\newline$ Median = $(7 + 9) / 2 = 16 / 2 = 8$
Lower Quartile Data Set: 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. Since we have an even number of data points, we will use the first $3$ numbers: $4$ , $5$ , $7$ .
Find Lower Quartile: Find the value of the lower quartile. Since there are $3$ numbers in the first half, the lower quartile is the $2$ nd number. $\newline$ Lower quartile $= 5$
Upper Quartile Data Set: 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. We will use the last $3$ numbers: $9$ , $9$ , $9$ .
Find Upper Quartile: Find the value of the upper quartile. Since there are $3$ numbers in the second half, the upper quartile is the $2$ nd number. $\newline$ Upper quartile $= 9$