In the data set below, what are the lower quartile, the median, and the upper quartile? 36, 39, 41, 43, 61, 64, 72, 75, 86, 90, 91, 95 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 36, 39, 41, 43, 61, 64, 72, 75, 86, 90, 91, 95 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Arrange Data Set: Arrange the data set in ascending order and list it out. The data set is already in ascending order: 36, 39, 41, 43, 61, 64, 72, 75, 86, 90, 91, 95.Find Median: Find the median of the data set. Since there are 12 numbers, the median will be the average of the 6th and 7th numbers. Median = (64 + 72) / 2 = 136 / 2 = 68.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 36, 39, 41, 43, 61, 64.Find Lower Quartile: Find the value of the lower quartile. Since there are 6 numbers in the first half, the lower quartile will be the average of the 3rd and 4th numbers. Lower quartile = (41 + 43) / 2 = 84 / 2 = 42.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 72, 75, 86, 90, 91, 95.Find Upper Quartile: Find the value of the upper quartile. Since there are 6 numbers in the second half, the upper quartile will be the average of the 3rd and 4th numbers. Upper quartile = (86 + 90) / 2 = 176 / 2 = 88.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 42 Median = 68 Upper quartile = 88

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $36, 39, 41, 43, 61, 64, 72, 75, 86, 90, 91, 95$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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