Q. In the data set below, what are the lower quartile, the median, and the upper quartile?2,2,2,3,4,8,9lower quartile=____median=____upper quartile=____
Question Prompt: Question prompt: What are the lower quartile, the median, and the upper quartile of the given data set?
Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.The given data set is already in ascending order: 2,2,2,3,4,8,9.
Find Median: Find the median of the data set.The data set has 7 numbers, so the median is the middle number, which is the fourth number in the sequence.Median: 3
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 the data set has an odd number of observations.First half is 2,2,2.Lower quartile data: 2,2,2
Find Lower Quartile: Find the value of the lower quartile.Since there are 3 numbers in the lower quartile data set, the lower quartile is the middle number.Lower quartile: 2
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 the data set has an odd number of observations.Second half is 4,8,9.Upper quartile data: 4,8,9
Find Upper Quartile: Find the value of the upper quartile.Since there are 3 numbers in the upper quartile data set, the upper quartile is the middle number.Upper quartile: 8
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 2Median = 3Upper quartile = 8
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