Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,1,1,2,2,4,4,5,6,6lower 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: 1,1,1,2,2,4,4,5,6,6.Since there are 10 numbers, the median will be the average of the 5th and 6th 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 necessary.First half is 1,1,1,2,2.Lower quartile data: 1,1,1,2,2.
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 1,1,1,2,2.For an odd number of observations, the median is the middle number.Lower quartile is the median of the first half, which is the 3rd number: 1.
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 necessary.Second half is 4,4,5,6,6.Upper quartile data: 4,4,5,6,6.
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 4,4,5,6,6.For an odd number of observations, the median is the middle number.Upper quartile is the median of the second half, which is the 3rd number: 5.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 1Median = 3Upper quartile = 5
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