Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,2,2,4,4,6,7lower quartile=__median=__upper quartile=__
Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.Data set: 1,2,2,2,4,4,6,7The data set is already in ascending order.
Find Median: Find the median of the data set.Since there are 8 numbers, the median will be the average of the 4th and 5th numbers.Median: (2+4)/2=6/2=3
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 if it is part of the data.First half is 1,2,2,2.Lower quartile data: 1,2,2,2
Find Lower Quartile Value: Find the value of the lower quartile.Since there are 4 numbers in the lower quartile data set, the lower quartile will be the average of the 2nd and 3rd numbers.Lower quartile: (2+2)/2=4/2=2
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 if it is part of the data.Second half is 4,4,6,7.Upper quartile data: 4,4,6,7
Find Upper Quartile Value: Find the value of the upper quartile.Since there are 4 numbers in the upper quartile data set, the upper quartile will be the average of the 2nd and 3rd numbers.Upper quartile: (4+6)/2=10/2=5
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 2Median = 3Upper quartile = 5
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