In the data set below, what are the lower quartile, the median, and the upper quartile?11,27,29,40,50,57,77,85,86,86,90lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?11,27,29,40,50,57,77,85,86,86,90lower quartile=__median=__upper quartile=__
Arrange data in ascending order: Arrange the data set in ascending order and list it out.Data set: 11,27,29,40,50,57,77,85,86,86,90The data set is already in ascending order.
Find median: Find the median of the data set.Since there are 11 numbers, the median will be the 6th number (as (11+1)/2=6).Median: 57
Identify 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 11,27,29,40,50.Lower quartile data: 11,27,29,40,50
Find lower quartile value: Find the value of the lower quartile.Since there are 5 numbers in the lower quartile data set, the lower quartile will be the 3rd number (as (5+1)/2=3).Lower quartile: 29
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 77,85,86,86,90.Upper quartile data: 77,85,86,86,90
Find upper quartile value: Find the value of the upper quartile.Since there are 5 numbers in the upper quartile data set, the upper quartile will be the 3rd number (as (5+1)/2=3).Upper quartile: 86
Write quartile values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 29Median = 57Upper quartile = 86
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