In the data set below, what are the lower quartile, the median, and the upper quartile?13,21,21,33,43,55,63,66,95,99lower quartile=__median=__upper quartile=__
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?13,21,21,33,43,55,63,66,95,99lower quartile=__median=__upper quartile=__
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile for the given data set: 13,21,21,33,43,55,63,66,95,99.
Arrange and Find Median: Arrange the data set in ascending order (if not already) and find the median (the middle value). The data set is already in ascending order: 13,21,21,33,43,55,63,66,95,99. Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. Median: (43+55)/2=98/2=49.
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's part of the data.First half is 13,21,21,33,43.Lower quartile data: 13,21,21,33,43.
Find Lower Quartile Value: Find the value of the lower quartile.Lower quartile data: 13,21,21,33,43.For an odd number of observations, the lower quartile is the middle number.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's part of the data.Second half is 55,63,66,95,99.Upper quartile data: 55,63,66,95,99.
Find Upper Quartile Value: Find the value of the upper quartile.Upper quartile data: 55,63,66,95,99.For an odd number of observations, the upper quartile is the middle number.Upper quartile is 66.
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 21Median = 49Upper quartile = 66
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