In the data set below, what are the lower quartile, the median, and the upper quartile? 25, 28, 33, 47, 49, 51, 73 lower quartile = _____ median = _____ upper quartile = _____

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 25, 28, 33, 47, 49, 51, 73.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 25, 28, 33, 47, 49, 51, 73.Find Median: Find the median of the data set. The median is the middle number when the data set is ordered. Since there are 7 numbers, the median is the 4th number: 47.Identify Lower Quartile: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. The first half is 25, 28, 33.Find Lower Quartile: Find the value of the lower quartile. The lower quartile is the median of the first half of the data set. Since there are 3 numbers, the lower quartile is the 2nd number: 28.Identify Upper Quartile: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. The second half is 49, 51, 73.Find Upper Quartile: Find the value of the upper quartile. The upper quartile is the median of the second half of the data set. Since there are 3 numbers, the upper quartile is the 2nd number: 51.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $25, 28, 33, 47, 49, 51, 73$ $\newline$ 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

25, 28, 33, 47, 49, 51, 73

\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: $25, 28, 33, 47, 49, 51, 73$ .
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: $25, 28, 33, 47, 49, 51, 73$ .
Find Median: Find the median of the data set. The median is the middle number when the data set is ordered. Since there are $7$ numbers, the median is the $4$ th number: $47$ .
Identify Lower Quartile: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. The first half is $25$ , $28$ , $33$ .
Find Lower Quartile: Find the value of the lower quartile. The lower quartile is the median of the first half of the data set. Since there are $3$ numbers, the lower quartile is the $2$ nd number: $28$ .
Identify Upper Quartile: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. The second half is $49$ , $51$ , $73$ .
Find Upper Quartile: Find the value of the upper quartile. The upper quartile is the median of the second half of the data set. Since there are $3$ numbers, the upper quartile is the $2$ nd number: $51$ .