In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,4,6,6,6,6,6,7,8,9lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,4,6,6,6,6,6,7,8,9lower quartile=__median=__upper quartile=__
Sort Data Set: Arrange the data set in ascending order if it is not already sorted.Data set: 1,2,4,6,6,6,6,6,7,8,9The data set is already in ascending order.
Find Median: Find the median of the data set.There are 11 numbers in the data set, which is an odd number, so the median will be the middle number.To find the middle number: (11+1)/2=6th numberThe 6th number in the data set is 6.Median = 6
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 1,2,4,6,6 (the first five numbers).Lower quartile data: 1,2,4,6,6
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 middle number.(5+1)/2=3rd numberThe 3rd number in the lower quartile data set is 4.Lower quartile =4
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 6,6,7,8,9 (the last five numbers).Upper quartile data: 6,6,7,8,9
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 middle number.(5+1)/2=3rd numberThe 3rd number in the upper quartile data set is 7.Upper quartile = 7
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