Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,3,3,3,5,5,6,6,7lower 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: 1,2,3,3,3,5,5,6,6,7.Since there are 10 numbers, the median will be the average of the 5th and 6th numbers.Median: (3+5)/2=8/2=4.
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 if it's part of the data.First half is 1,2,3,3,3.Lower quartile data: 1,2,3,3,3.
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 1,2,3,3,3.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: 3.
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 if it's part of the data.Second half is 5,5,6,6,7.Upper quartile data: 5,5,6,6,7.
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 5,5,6,6,7.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: 6.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 3Median = 4Upper quartile = 6
More problems from Calculate quartiles and interquartile range