In the data set below, what are the lower quartile, the median, and the upper quartile?15,16,21,42,57,66,67,89,97,97,97lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?15,16,21,42,57,66,67,89,97,97,97lower quartile=__median=__upper quartile=__
Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.The given data set is already in ascending order: 15,16,21,42,57,66,67,89,97,97,97.
Find Median: Find the median of the data set.Since there are 11 numbers, the median will be the 6th number (as (11+1)/2=6).The median is 66.
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 part of the data.The first half is 15, 16, 21, 42, 57.
Find Lower Quartile Value: Find the value of the lower quartile.Since there are 5 numbers in the first half, the lower quartile will be the median of these 5 numbers, which is the 3rd number.The lower quartile is 21.
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 part of the data.The second half is 67, 89, 97, 97, 97.
Find Upper Quartile Value: Find the value of the upper quartile.Since there are 5 numbers in the second half, the upper quartile will be the median of these 5 numbers, which is the 3rd number.The upper quartile is 97.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 21Median = 66Upper quartile = 97
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