In the data set below, what are the lower quartile, the median, and the upper quartile? 17, 42, 53, 57, 67, 73, 80, 87, 95, 95, 96 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 17, 42, 53, 57, 67, 73, 80, 87, 95, 95, 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: 17, 42, 53, 57, 67, 73, 80, 87, 95, 95, 96.Find Median: Find the median of the data set. There are 11 numbers in the data set, so the median is the middle number, which is the 6th number in the ordered list. Median: 73Lower 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 an odd number of data points. First half is 17, 42, 53, 57, 67. Lower quartile data: 17, 42, 53, 57, 67Find Lower Quartile: Find the value of the lower quartile. There are 5 numbers in the lower quartile data set, so the lower quartile is the middle number, which is the 3rd number in the ordered list. Lower quartile: 53Upper 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 an odd number of data points. Second half is 80, 87, 95, 95, 96. Upper quartile data: 80, 87, 95, 95, 96Find Upper Quartile: Find the value of the upper quartile. There are 5 numbers in the upper quartile data set, so the upper quartile is the middle number, which is the 3rd number in the ordered list. Upper quartile: 95Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 53 Median = 73 Upper quartile = 95

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $17, 42, 53, 57, 67, 73, 80, 87, 95, 95, 96$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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