In the data set below, what are the lower quartile, the median, and the upper quartile?10,14,14,14,17,17,18,64,65,65,66lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?10,14,14,14,17,17,18,64,65,65,66lower quartile=__median=__upper quartile=__
Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.The data set is already in ascending order: 10,14,14,14,17,17,18,64,65,65,66.
Find Median: Find the median of the data set.There are 11 numbers in the data set, so the median will be the 6th number (since (11+1)/2=6).The median is 17.
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 is a part of the data.First half is 10, 14, 14, 14, 17.
Find Lower Quartile Value: Find the value of the lower quartile.There are 5 numbers in the first half, so the lower quartile will be the 3rd number (since (5+1)/2=3).The lower quartile is 14.
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 is a part of the data.Second half is 17, 18, 64, 65, 65, 66.
Find Upper Quartile Value: Find the value of the upper quartile.There are 6 numbers in the second half, so the upper quartile will be the average of the 3rd and 4th numbers (since (6+1)/2=3.5, we average the 3rd and 4th numbers).The upper quartile is (64+65)/2=64.5.
More problems from Calculate quartiles and interquartile range