In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 86 lower quartile = _____ median = _____ upper quartile = _____

Question

In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 86 lower quartile = _____  median = _____  upper quartile = _____

Bytelearn · Accepted Answer

Arrange and Count Data: Arrange the data set in ascending order and count the number of data points. Data set: 14, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 86 Number of data points: 12Calculate Median: Calculate the median (the second quartile) of the data set. Since there are 12 data points, the median will be the average of the 6th and 7th values. 6th value = 46, 7th value = 54 Median = (46 + 54) / 2 = 100 / 2 = 50Identify Lower Quartile: Identify the data set for the lower quartile (the first quartile). For the lower quartile, consider the first half of the data set, excluding the median if necessary. First half is 14, 29, 38, 38, 38, 46 (since we have an even number of data points, we do not exclude the median).Calculate Lower Quartile: Calculate the lower quartile. Since there are 6 data points in the first half, the lower quartile will be the average of the 3rd and 4th values. 3rd value = 38, 4th value = 38 Lower quartile = (38 + 38) / 2 = 76 / 2 = 38Identify Upper Quartile: Identify the data set for the upper quartile (the third quartile). For the upper quartile, consider the second half of the data set, excluding the median if necessary. Second half is 54, 54, 55, 61, 69, 86.Calculate Upper Quartile: Calculate the upper quartile. Since there are 6 data points in the second half, the upper quartile will be the average of the 3rd and 4th values. 3rd value = 55, 4th value = 61 Upper quartile = (55 + 61) / 2 = 116 / 2 = 58

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 86$ $\newline$ 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?\newline14,29,38,38,38,46,54,54,55,61,69,8614, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 8614,29,38,38,38,46,54,54,55,61,69,86\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 29, 38, 38, 38, 46, 54, 54, 55, 61, 69, 86$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___