In the data set below, what are the lower quartile, the median, and the upper quartile?3,4,5,7,7,7lower quartile = _____median = _____upper quartile = _____
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?3,4,5,7,7,7lower quartile = _____median = _____upper quartile = _____
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 3,4,5,7,7,7.
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 3,4,5,7,7,7.
Find Median: Find the median of the data set. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers.Median = (5+7)/2=12/2=6.
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 single number. Since we have an even number of observations, we include both the 3rd and 4th numbers.Lower quartile data: 3,4,5.
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 = 4.
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 single number. Since we have an even number of observations, we include both the 3rd and 4th numbers.Upper quartile data: 5, 7, 7.
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 =7.
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