In the data set below, what are the lower quartile, the median, and the upper quartile?15,32,41,64,73,73,74,75,81,84,90lower quartile = _____median = _____upper quartile = _____
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?15,32,41,64,73,73,74,75,81,84,90lower 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: 15,32,41,64,73,73,74,75,81,84,90. Since there are 11 numbers, the median is the middle number, which is the 6th number in the list. Median: 73
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.First half is 15,32,41,64,73.Lower quartile data: 15,32,41,64,73
Find Lower Quartile: Find the value of the lower quartile.Lower quartile data: 15,32,41,64,73Since there are 5 numbers, the lower quartile is the middle number, which is the 3rd number in the list.Lower quartile: 41
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.Second half is 73,74,75,81,84,90.Upper quartile data: 73,74,75,81,84,90
Find Upper Quartile: Find the value of the upper quartile.Upper quartile data: 73,74,75,81,84,90Since there are 6 numbers, we take the average of the 3rd and 4th numbers in the list.Upper quartile: (75+81)/2=156/2=78
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 41Median = 73Upper quartile = 78
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