In the data set below, what are the lower quartile, the median, and the upper quartile? 49, 49, 53, 89, 89, 98 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 49, 49, 53, 89, 89, 98 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: 49, 49, 53, 89, 89, 98.Find Median: Find the median of the data set. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Median = (53 + 89) / 2 = 142 / 2 = 71.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 single number. Since we have an even number of data points, we will include the lower middle value in the first half. First half is 49, 49, 53.Find Lower Quartile: Find the value of the lower quartile. The lower quartile is the median of the first half of the data set. Since there are 3 numbers in the first half, the lower quartile is the middle number, which is 49.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 single number. Since we have an even number of data points, we will include the upper middle value in the second half. Second half is 89, 89, 98.Find Upper Quartile: Find the value of the upper quartile. The upper quartile is the median of the second half of the data set. Since there are 3 numbers in the second half, the upper quartile is the middle number, which is 89.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 49 Median = 71 Upper quartile = 89

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $49, 49, 53, 89, 89, 98$ $\newline$ 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?\newline49,49,53,89,89,9849, 49, 53, 89, 89, 9849,49,53,89,89,98\newlinelower quartile===__\_\___\newlinemedian===__\_\___\newlineupper quartile===__\_\___

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $49, 49, 53, 89, 89, 98$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$