In the data set below, what are the lower quartile, the median, and the upper quartile? 22, 30, 38, 40, 47, 83 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 22, 30, 38, 40, 47, 83 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 22, 30, 38, 40, 47, 83.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 22, 30, 38, 40, 47, 83.Find Median: Find the median of the data set. Since there are an even number of observations (6), the median will be the average of the third and fourth values. Median = (38 + 40) / 2 = 78 / 2 = 39Identify 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 part of the data. Since we have an even number of observations, the first half is 22, 30, 38.Find Lower Quartile: Find the value of the lower quartile. Since there are three numbers in the first half, the lower quartile is the middle number, which is 30. Lower quartile = 30Identify 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 part of the data. The second half is 40, 47, 83.Find Upper Quartile: Find the value of the upper quartile. Since there are three numbers in the second half, the upper quartile is the middle number, which is 47. Upper quartile = 47

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $22, 30, 38, 40, 47, 83$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___

Full solution

More problems from Calculate quartiles and interquartile range

Related topics

In the data set below, what are the lower quartile, the median, and the upper quartile?\newline22,30,38,40,47,8322, 30, 38, 40, 47, 8322,30,38,40,47,83\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $22, 30, 38, 40, 47, 83$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___