In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 20, 20, 36, 40, 40, 56, 59, 66, 80, 91 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 20, 20, 36, 40, 40, 56, 59, 66, 80, 91 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. The given data set is already in ascending order: 20, 20, 20, 36, 40, 40, 56, 59, 66, 80, 91.Find Median: Find the median of the data set. There are 11 numbers in the data set, so the median will be the middle number, which is the 6th number in the sorted list. The median is 40.Identify 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 is a part of the data. The first half is 20, 20, 20, 36, 40 (the first five numbers).Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile will be the median of these 5 numbers, which is the 3rd number. The lower quartile is 20.Identify 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 is a part of the data. The second half is 40, 56, 59, 66, 80, 91 (the last six numbers).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 in this half. The upper quartile is the average of 59 and 66. (59 + 66) / 2 = 125 / 2 = 62.5 The upper quartile is 62.5.

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $20, 20, 20, 36, 40, 40, 56, 59, 66, 80, 91$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline20,20,20,36,40,40,56,59,66,80,9120, 20, 20, 36, 40, 40, 56, 59, 66, 80, 9120,20,20,36,40,40,56,59,66,80,91\newlinelower quartile===__\_\___\newlinemedian===__\_\___\newlineupper quartile===__\_\___

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $20, 20, 20, 36, 40, 40, 56, 59, 66, 80, 91$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$