In the data set below, what are the lower quartile, the median, and the upper quartile? 11, 11, 11, 23, 31, 31, 58 lower quartile = _____ median = _____ upper quartile = _____

Arrange and Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 11, 11, 11, 23, 31, 31, 58. Since there are 7 numbers, the median is the middle number, which is the 4th number in the list. Median: 23Identify 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. First half is 11, 11, 11. Lower quartile data: 11, 11, 11Find Lower Quartile Value: Find the value of the lower quartile. Lower quartile data: 11, 11, 11 For an odd number of observations, the median is the middle number. Lower quartile is 11.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. Second half is 31, 31, 58. Upper quartile data: 31, 31, 58Find Upper Quartile Value: Find the value of the upper quartile. Upper quartile data: 31, 31, 58 For an odd number of observations, the median is the middle number. Upper quartile is 31.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 11 Median = 23 Upper quartile = 31

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $11, 11, 11, 23, 31, 31, 58$ $\newline$ 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

11, 11, 11, 23, 31, 31, 58

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Arrange and Find Median: Arrange the data set in ascending order and find the median. $\newline$ The data set is already in ascending order: $11, 11, 11, 23, 31, 31, 58$ . $\newline$ Since there are $7$ numbers, the median is the middle number, which is the $4$ th number in the list. $\newline$ Median: $23$
Identify 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 $11$ , $11$ , $11$ . $\newline$ Lower quartile data: $11$ , $11$ , $11$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ Lower quartile data: $11, 11, 11$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Lower quartile is $11$ .
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. $\newline$ Second half is $31$ , $31$ , $58$ . $\newline$ Upper quartile data: $31$ , $31$ , $58$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ Upper quartile data: $31, 31, 58$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Upper quartile is $31$ .
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. $\newline$ Lower quartile = $11$ $\newline$ Median = $23$ $\newline$ Upper quartile = $31$