In the data set below, what are the lower quartile, the median, and the upper quartile?2,2,2,4,5,5,9,9,9,9,9lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?2,2,2,4,5,5,9,9,9,9,9lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.The data set is already in ascending order: 2,2,2,4,5,5,9,9,9,9,9.
Find Median: Find the median of the data set.There are 11 numbers in the data set, so the median will be the 6th number (since (11+1)/2=6).The 6th number is 5.Median =5.
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 if it is a part of the data.First half is 2,2,2,4,5 (the first five numbers).Lower quartile data: 2,2,2,4,5.
Find Lower Quartile: 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 (since (5+1)/2=3).The 3rd number is 2.Lower quartile = 2.
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 if it is a part of the data.Second half is 5,9,9,9,9,9 (the last six numbers, including the median since it is part of the data).Upper quartile data: 5,9,9,9,9,9.
Find Upper Quartile: Find the value of the upper quartile.Since there are 6 numbers in the upper quartile data set, the upper quartile will be the average of the 3rd and 4th numbers (since (6/2)=3).The 3rd and 4th numbers are both 9.(9+9)/2=9.Upper quartile = 9.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 2Median = 5Upper quartile = 9
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