In the data set below, what are the lower quartile, the median, and the upper quartile? 15, 28, 33, 44, 60, 64, 64, 78, 81, 91 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 15, 28, 33, 44, 60, 64, 64, 78, 81, 91 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Arrange Data Set: Arrange the data set in ascending order (if not already) and list it out. Data set: 15, 28, 33, 44, 60, 64, 64, 78, 81, 91Find Median: Find the median of the data set. Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. Median = (60 + 64) / 2 = 124 / 2 = 62Identify 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's part of the data. First half is 15, 28, 33, 44, 60. Lower quartile data: 15, 28, 33, 44, 60Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the lower half, the lower quartile will be the median of these 5 numbers, which is the 3rd number. Lower quartile = 33Identify 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's part of the data. Second half is 64, 64, 78, 81, 91. Upper quartile data: 64, 64, 78, 81, 91Find Upper Quartile: Find the value of the upper quartile. Since there are 5 numbers in the upper half, the upper quartile will be the median of these 5 numbers, which is the 3rd number. Upper quartile = 78Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 33 Median = 62 Upper quartile = 78

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $15, 28, 33, 44, 60, 64, 64, 78, 81, 91$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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