Q. In the data set below, what are the lower quartile, the median, and the upper quartile?3,4,4,6,6,8,8,8,9,9lower 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: 3,4,4,6,6,8,8,8,9,9.Since there are 10 numbers, the median will be the average of the 5th and 6th numbers.Median: (6+6)/2=12/2=6.
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 3,4,4,6,6.Lower quartile data: 3,4,4,6,6.
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 3,4,4,6,6.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: 4.
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 8,8,8,9,9.Upper quartile data: 8,8,8,9,9.
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 8,8,8,9,9.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: 8.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 4Median = 6Upper quartile = 8
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