In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 21, 34, 54, 63, 63, 96 lower quartile = _____ median = _____ upper quartile = _____

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 12, 21, 34, 54, 63, 63, 96.Find Median: Arrange the data set in ascending order (if not already) and find the median (the middle value). The data set is already in ascending order: 12, 21, 34, 54, 63, 63, 96. Since there are 7 numbers, the median is the 4th number (as it is the middle value in an odd-numbered list). Median: 54Lower 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. First half is 12, 21, 34. Lower quartile data: 12, 21, 34Lower Quartile Value: Find the value of the lower quartile. Lower quartile data: 12, 21, 34 For an odd number of observations, the median is the middle number. Lower quartile is 21.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. Second half is 63, 63, 96. Upper quartile data: 63, 63, 96Upper Quartile Value: Find the value of the upper quartile. Upper quartile data: 63, 63, 96 For an odd number of observations, the median is the middle number. Upper quartile is 63.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 21, 34, 54, 63, 63, 96$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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Math Problems

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

12, 21, 34, 54, 63, 63, 96

\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: $12, 21, 34, 54, 63, 63, 96$ .
Find Median: Arrange the data set in ascending order (if not already) and find the median (the middle value). $\newline$ The data set is already in ascending order: $12, 21, 34, 54, 63, 63, 96$ . $\newline$ Since there are $7$ numbers, the median is the $4$ th number (as it is the middle value in an odd-numbered list). $\newline$ Median: $54$
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. $\newline$ First half is $12$ , $21$ , $34$ . $\newline$ Lower quartile data: $12$ , $21$ , $34$
Lower Quartile Value: Find the value of the lower quartile. $\newline$ Lower quartile data: $12$ , $21$ , $34$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Lower quartile is $21$ .
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. $\newline$ Second half is $63$ , $63$ , $96$ . $\newline$ Upper quartile data: $63$ , $63$ , $96$
Upper Quartile Value: Find the value of the upper quartile. $\newline$ Upper quartile data: $63, 63, 96$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Upper quartile is $63$ .