Q. In the data set below, what are the lower quartile, the median, and the upper quartile?6,7,7,8,8,9,9lower 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: 6,7,7,8,8,9,9It is already in ascending order, so no need to sort it.
Find Median: Find the median of the data set.The data set has 7 numbers, which is an odd number, so the median will be the middle number.To find the middle number, we use the formula: (n+1)/2, where n is the number of observations.(7+1)/2=8/2=4The fourth number in the data set is the median.Median: 8
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.First half is 6,7,7 (the first three numbers).Lower quartile data: 6,7,7
Find Lower Quartile: Find the value of the lower quartile.Lower quartile data: 6,7,7For an odd number of observations, the median is the middle number.Lower quartile is the median of the first half, which is the second number.Lower quartile: 7
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.Second half is 8,9,9 (the last three numbers).Upper quartile data: 8,9,9
Find Upper Quartile: Find the value of the upper quartile.Upper quartile data: 8,9,9For an odd number of observations, the median is the middle number.Upper quartile is the median of the second half, which is the second number.Upper quartile: 9
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = 7Median = 8Upper quartile = 9
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