Q. In the data set below, what are the lower quartile, the median, and the upper quartile?3,3,4,6,6,8,8,8,8,9lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order and list it out.Data set: 3,3,4,6,6,8,8,8,8,9The data set is already in ascending order.
Find Median: Find the median of the data set.Since there are 10 numbers, the median will be the average of the 5th and 6th numbers.5th number = 66th number = 8Median = (6+8)/2=14/2=7
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 is part of the data.First half is 3,3,4,6,6.Lower quartile data: 3,3,4,6,6
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 median of these 5 numbers.Lower quartile =4 (the middle number of the first half)
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 is part of the data.Second half is 8,8,8,8,9.Upper quartile data: 8,8,8,8,9
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 median of these 5 numbers.Upper quartile =8 (the middle number of the second half)
More problems from Calculate quartiles and interquartile range