In the data set below, what are the lower quartile, the median, and the upper quartile?17,28,28,32,35,43,45,50,67,68lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?17,28,28,32,35,43,45,50,67,68lower quartile=__median=__upper quartile=__
Find Median: Arrange the data set in ascending order and find the median.The data set is already in ascending order: 17,28,28,32,35,43,45,50,67,68.Since there are 10 numbers, the median will be the average of the 5th and 6th numbers.Median =(35+43)/2=78/2=39.
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 necessary.First half is 17,28,28,32,35.Lower quartile data: 17,28,28,32,35.
Calculate Lower Quartile: Find the value of the lower quartile.Lower quartile data: 17,28,28,32,35.For an odd number of observations, the lower quartile is the middle number.Lower quartile is 28.
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 necessary.Second half is 43,45,50,67,68.Upper quartile data: 43,45,50,67,68.
Calculate Upper Quartile: Find the value of the upper quartile.Upper quartile data: 43,45,50,67,68.For an odd number of observations, the upper quartile is the middle number.Upper quartile is 50.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 28Median = 39Upper quartile = 50
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