In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 3, 3, 5, 6, 7 lower quartile = _____ median = _____ upper quartile = _____

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

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 3, 3, 5, 6, 7$ $\newline$ 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, 3, 3, 5, 6, 7

\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: $2, 3, 3, 5, 6, 7$ .
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: $2, 3, 3, 5, 6, 7$ .
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 = $(3 + 5) / 2 = 8 / 2 = 4$
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 part of the data. Since we have an even number of data points, we will use the first $3$ numbers: $2$ , $3$ , $3$ .
Find Lower Quartile: Find the value of the lower quartile. Since there are $3$ numbers, the lower quartile is the $2$ nd number. $\newline$ Lower quartile = $3$
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 part of the data. We will use the last $3$ numbers: $5$ , $6$ , $7$ .
Find Upper Quartile: Find the value of the upper quartile. Since there are $3$ numbers, the upper quartile is the $2$ nd number in this half of the data set. $\newline$ Upper quartile = $6$