In the data set below, what are the lower quartile, the median, and the upper quartile?27,38,40,47,49,50,64,64,64,78,78lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?27,38,40,47,49,50,64,64,64,78,78lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order (if not already) and list it out.Data set: 27,38,40,47,49,50,64,64,64,78,78The data set is already in ascending order.
Find Median: Find the median of the data set.Since there are 11 numbers, the median will be the 6th number (as (11+1)/2=6).Median: 50
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's an odd number of data points.First half is 27,38,40,47,49.Lower quartile data: 27,38,40,47,49
Find Lower Quartile: Find the value of the lower quartile.Since there are 5 numbers in the lower quartile data set, the lower quartile will be the 3rd number (as (5+1)/2=3).Lower quartile: 40
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's an odd number of data points.Second half is 64, 64, 64, 78, 78.Upper quartile data: 64, 64, 64, 78, 78
Find Upper Quartile: Find the value of the upper quartile.Since there are 5 numbers in the upper quartile data set, the upper quartile will be the 3rd number (as (5+1)/2=3).Upper quartile: 64
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 40Median = 50Upper quartile = 64
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