In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,4,4,5,5,6,9,9,9,9lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,4,4,5,5,6,9,9,9,9lower 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: 1,2,4,4,5,5,6,9,9,9,9.There are 11 numbers in the data set, so the median is the middle number, which is the 6th number in the sequence.Median: 5
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 it's an odd number of data points.First half is 1,2,4,4,5.Lower quartile data: 1,2,4,4,5
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 1,2,4,4,5Since there are 5 numbers, the lower quartile is the middle number of this subset.Lower quartile is 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 it's an odd number of data points.Second half is 5,6,9,9,9,9.Upper quartile data: 5,6,9,9,9,9
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 5,6,9,9,9,9Since there are 6 numbers, the upper quartile is the average of the middle two numbers.Upper quartile is (6+9)/2=15/2=7.5.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 4Median = 5Upper quartile = 7.5
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