In the data set below, what are the lower quartile, the median, and the upper quartile?18,21,23,39,43,53,64,74,84lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?18,21,23,39,43,53,64,74,84lower quartile=__median=__upper quartile=__
Arrange and Find Median: Arrange the data set in ascending order and find the median.The data set is already in ascending order: 18,21,23,39,43,53,64,74,84.Since there are 9 numbers, the median is the middle number, which is the 5th number in the list.Median: 43
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 18, 21, 23, 39.Lower quartile data: 18, 21, 23, 39
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 18,21,23,39For an even number of observations, the lower quartile is the average of the middle two numbers.(21+23)/2=44/2Lower quartile = 22
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 53,64,74,84.Upper quartile data: 53,64,74,84
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 53,64,74,84For an even number of observations, the upper quartile is the average of the middle two numbers.(64+74)/2=138/2Upper quartile = 69
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 22Median = 43Upper quartile = 69
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