In the data set below, what are the lower quartile, the median, and the upper quartile?19,19,24,24,33,69,69lower quartile = _____median = _____upper quartile = _____
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?19,19,24,24,33,69,69lower quartile = _____median = _____upper quartile = _____
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 19,19,24,24,33,69,69.
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 19,19,24,24,33,69,69.
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: 24.Median=24
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 a part of the data. The first half is 19, 19, 24.Lower quartile data: 19, 19, 24
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: 19.Lower quartile =19
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 a part of the data. The second half is 24, 33, 69, 69.Upper quartile data: 24, 33, 69, 69
Find Upper Quartile: Find the value of the upper quartile. Since there are 4 numbers in the upper quartile data set, the upper quartile is the average of the middle two numbers: (33+69)/2=102/2=51.Upper quartile = 51
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 19Median = 24Upper quartile = 51
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