Q. In the data set below, what are the lower quartile, the median, and the upper quartile?58,63,66,70,72,94lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.The given data set is already in ascending order: 58,63,66,70,72,94.
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 =(66+70)/2=136/2=68.
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 single number. Since we have an even number of observations, we include both the 3rd and 4th numbers.First half is 58, 63, 66.
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 middle number, which is 63.
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 single number. Since we have an even number of observations, we include both the 3rd and 4th numbers.Second half is 70, 72, 94.
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 middle number, which is 72.
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