In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 20, 23, 39, 42, 54, 55, 87, 91, 91, 97 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 20, 23, 39, 42, 54, 55, 87, 91, 91, 97 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 20, 20, 23, 39, 42, 54, 55, 87, 91, 91, 97. There are 11 numbers in the data set, which is an odd number, so the median will be the middle number. To find the middle number, use the formula (n + 1) / 2, where n is the number of data points. (11 + 1) / 2 = 12 / 2 = 6. The 6th number in the data set is the median. Median: 54.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. The first half is 20, 20, 23, 39, 42. Lower quartile data: 20, 20, 23, 39, 42.Find Lower Quartile: Find the value of the lower quartile. Lower quartile data: 20, 20, 23, 39, 42. Since there are 5 numbers, the lower quartile will be the middle number of this subset. The middle number is 23. Lower quartile: 23.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. The second half is 55, 87, 91, 91, 97. Upper quartile data: 55, 87, 91, 91, 97.Find Upper Quartile: Find the value of the upper quartile. Upper quartile data: 55, 87, 91, 91, 97. Since there are 5 numbers, the upper quartile will be the middle number of this subset. The middle number is 91. Upper quartile: 91.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 23 Median = 54 Upper quartile = 91.

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $20, 20, 23, 39, 42, 54, 55, 87, 91, 91, 97$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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