In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 19, 34, 42, 46, 46, 65, 70, 70, 83, 85 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 12, 19, 34, 42, 46, 46, 65, 70, 70, 83, 85 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 12, 19, 34, 42, 46, 46, 65, 70, 70, 83, 85. There are 11 numbers in the data set, which is an odd number, so the median will be the middle number. To find the middle number, use the formula: (n + 1) / 2, where n is the number of observations. (11 + 1) / 2 = 12 / 2 = 6. The 6th number in the data set is the median. Median: 46.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. The first half is 12, 19, 34, 42, 46 (the first five numbers). Lower quartile data: 12, 19, 34, 42, 46.Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the lower quartile data set, the lower quartile will be the median of these numbers. The median of an odd number of observations is the middle number. (5 + 1) / 2 = 6 / 2 = 3. The 3rd number in the lower quartile data set is the lower quartile. Lower quartile: 34.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. The second half is 65, 70, 70, 83, 85 (the last five numbers). Upper quartile data: 65, 70, 70, 83, 85.Find Upper Quartile: Find the value of the upper quartile. Since there are 5 numbers in the upper quartile data set, the upper quartile will be the median of these numbers. The median of an odd number of observations is the middle number. (5 + 1) / 2 = 6 / 2 = 3. The 3rd number in the upper quartile data set is the upper quartile. Upper quartile: 70.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 34 Median = 46 Upper quartile = 70

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $12, 19, 34, 42, 46, 46, 65, 70, 70, 83, 85$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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