Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,3,5,7,9lower quartile=__median=__upper quartile=__
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the data set 1,3,5,7,9.
Arrange Data Set: Arrange the data set in ascending order, which is already done: 1,3,5,7,9.
Find Median: Find the median of the data set. Since there are 5 numbers, the median is the middle number, which is 5. Median = 5
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. The first half is 1,3. Lower quartile data: 1,3
Find Lower Quartile Value: Find the value of the lower quartile. Since there are two numbers, the lower quartile is the average of these two numbers.(1+3)/2=4/2=2Lower 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. The second half is 7,9.Upper quartile data: 7,9
Find Upper Quartile Value: Find the value of the upper quartile. Since there are two numbers, the upper quartile is the average of these two numbers.(7+9)/2=16/2=8Upper quartile = 8
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 2Median = 5Upper quartile = 8
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