In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 20, 35, 49, 57, 57, 85, 86, 87, 98, 98 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 20, 35, 49, 57, 57, 85, 86, 87, 98, 98 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Arrange and Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 12, 20, 35, 49, 57, 57, 85, 86, 87, 98, 98. Since there are 11 numbers, the median is the middle number, which is the 6th number in the sequence. Median: 57Identify 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 if it is part of the data. First half is 12, 20, 35, 49, 57 (up to the median, not including the median itself). Lower quartile data: 12, 20, 35, 49, 57Find Lower Quartile Value: Find the value of the lower quartile. Lower quartile data: 12, 20, 35, 49, 57 Since there are 5 numbers, the lower quartile is the median of this subset, which is the 3rd number. Lower quartile: 35Identify 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 if it is part of the data. Second half is 57, 85, 86, 87, 98, 98 (from the median to the end, not including the median itself). Upper quartile data: 57, 85, 86, 87, 98, 98Find Upper Quartile Value: Find the value of the upper quartile. Upper quartile data: 57, 85, 86, 87, 98, 98 Since there are 6 numbers, the upper quartile is the average of the 3rd and 4th numbers. Upper quartile: (86 + 87) / 2 = 173 / 2 = 86.5Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 35 Median = 57 Upper quartile = 86.5

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 20, 35, 49, 57, 57, 85, 86, 87, 98, 98$ $\newline$ 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?\newline12,20,35,49,57,57,85,86,87,98,9812, 20, 35, 49, 57, 57, 85, 86, 87, 98, 9812,20,35,49,57,57,85,86,87,98,98\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 20, 35, 49, 57, 57, 85, 86, 87, 98, 98$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___