Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,2,3,4,9,9,9lower quartile=__median=__upper quartile=__
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 1,2,3,4,9,9,9.
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 1,2,3,4,9,9,9.
Find Median: Find the median of the data set. The median is the middle number when the data set is ordered. Since there are 7 numbers, the median is the 4th number: 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 is a part of the data. The first half is 1, 2, 3.
Find Lower Quartile: Find the value of the lower quartile. The lower quartile is the median of the first half of the data set. Since there are 3 numbers, the lower quartile is the 2nd number: 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 it is a part of the data. The second half is 9, 9, 9.
Find Upper Quartile: Find the value of the upper quartile. The upper quartile is the median of the second half of the data set. Since there are 3 numbers, the upper quartile is the 2nd number: 9.
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