Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,2,2,2,4,4,6,6,7lower 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: 1,2,2,2,2,4,4,6,6,7.Since there are 10 numbers, the median will be the average of the 5th and 6th numbers.Median =(2+4)/2=6/2=3.
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 necessary.First half is 1,2,2,2,2.Lower quartile data: 1,2,2,2,2.
Calculate Lower Quartile: Find the value of the lower quartile.Lower quartile data: 1,2,2,2,2.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 in the sorted list.Lower quartile =2.
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 necessary.Second half is 4,4,6,6,7.Upper quartile data: 4,4,6,6,7.
Calculate Upper Quartile: Find the value of the upper quartile.Upper quartile data: 4,4,6,6,7.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 in the sorted list.Upper quartile =6.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 2.Median = 3.Upper quartile = 6.
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