In the data set below, what are the lower quartile, the median, and the upper quartile?1,1,1,1,4,4,5,5,8,9,9lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,1,1,1,4,4,5,5,8,9,9lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.The given data set is already in ascending order: 1,1,1,1,4,4,5,5,8,9,9.
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 4.Median: 4
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 if it is a part of the data.First half is 1,1,1,1,4.Lower quartile data: 1,1,1,1,4
Find Lower Quartile: Find the value of the lower quartile.There are 5 numbers in the lower quartile data set, so the lower quartile will be the 3rd number (since (5+1)/2=3).The 3rd number is 1.Lower quartile: 1
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 if it is a part of the data.Second half is 4,5,5,8,9,9.Upper quartile data: 4,5,5,8,9,9
Find Upper Quartile: Find the value of the upper quartile.There are 6 numbers in the upper quartile data set, so the upper quartile will be the average of the 3rd and 4th numbers (since (6/2)=3).The 3rd and 4th numbers are 5 and 5.Average of 5 and 5 is 5.Upper quartile: 5
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 1Median = 4Upper quartile = 5
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