In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 33, 42, 43, 43, 46, 50, 65, 69, 72, 93 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out. Data set: 12, 33, 42, 43, 43, 46, 50, 65, 69, 72, 93Find Median: Find the median of the data set. Since there are 11 numbers, the median will be the 6th number (as it is the middle number in an odd-numbered list). Median: 46Identify 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: 12, 33, 42, 43, 43Find Lower Quartile Value: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile will be the median of this subset, which is the 3rd number. Lower quartile: 42Identify 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: 50, 65, 69, 72, 93Find Upper Quartile Value: Find the value of the upper quartile. Since there are 5 numbers in the second half, the upper quartile will be the median of this subset, which is the 3rd number. Upper quartile: 69

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 33, 42, 43, 43, 46, 50, 65, 69, 72, 93$ $\newline$ 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, 33, 42, 43, 43, 46, 50, 65, 69, 72, 93

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out. $\newline$ Data set: $12, 33, 42, 43, 43, 46, 50, 65, 69, 72, 93$
Find Median: Find the median of the data set. $\newline$ Since there are $11$ numbers, the median will be the $6$ th number (as it is the middle number in an odd-numbered list). $\newline$ Median: $46$
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: $12$ , $33$ , $42$ , $43$ , $43$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ Since there are $5$ numbers in the first half, the lower quartile will be the median of this subset, which is the $3$ rd number. $\newline$ Lower quartile: $42$
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: $50$ , $65$ , $69$ , $72$ , $93$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ Since there are $5$ numbers in the second half, the upper quartile will be the median of this subset, which is the $3$ rd number. $\newline$ Upper quartile: $69$