In the data set below, what are the lower quartile, the median, and the upper quartile? 10, 12, 15, 17, 24, 39, 51, 87, 91, 94, 96 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 10, 12, 15, 17, 24, 39, 51, 87, 91, 94, 96 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: 10, 12, 15, 17, 24, 39, 51, 87, 91, 94, 96.Find Median: Find the median of the data set. There are 11 numbers in the data set, so the median will be the 6th number (since (11 + 1) / 2 = 6). The 6th number is 39. Median: 39Lower 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 part of the data. First half is 10, 12, 15, 17, 24. Lower quartile data: 10, 12, 15, 17, 24Lower Quartile Value: Find the value of the lower quartile. There are 5 numbers in the lower quartile data set, so the lower quartile will be the 3rd number (since (5 + 1) / 2 = 3). The 3rd number is 15. Lower quartile: 15Upper 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 part of the data. Second half is 51, 87, 91, 94, 96. Upper quartile data: 51, 87, 91, 94, 96Upper Quartile Value: Find the value of the upper quartile. There are 5 numbers in the upper quartile data set, so the upper quartile will be the 3rd number (since (5 + 1) / 2 = 3). The 3rd number is 91. Upper quartile: 91

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $10, 12, 15, 17, 24, 39, 51, 87, 91, 94, 96$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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