Q. In the data set below, what are the lower quartile, the median, and the upper quartile?1,3,3,4,6,6,8,9lower quartile=__median=__upper quartile=__
Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 1,3,3,4,6,6,8,9.
Arrange and Count: Arrange the data set in ascending order (if not already) and count the number of data points.Data set: 1,3,3,4,6,6,8,9Number of data points: 8
Calculate Median Position: Calculate the median position using the formula (n+1)/2, where n is the number of data points.Median position: (8+1)/2=4.5Since the position is not a whole number, the median will be the average of the 4th and 5th data points.
Find Median: Find the median by averaging the 4th and 5th data points.4th data point: 45th data point: 6Median: (4+6)/2=5
Identify Lower Quartile Data Set: Identify the data set for the lower quartile, which is the first half of the data set excluding the median if it's a data point.Lower quartile data set: 1,3,3,4
Calculate Lower Quartile: Calculate the lower quartile, which is the median of the lower quartile data set.Since there are 4 data points, the lower quartile is the average of the 2nd and 3rd data points.2nd data point: 33rd data point: 3Lower quartile: (3+3)/2=3
Identify Upper Quartile Data Set: Identify the data set for the upper quartile, which is the second half of the data set excluding the median if it's a data point.Upper quartile data set: 6,6,8,9
Calculate Upper Quartile: Calculate the upper quartile, which is the median of the upper quartile data set.Since there are 4 data points, the upper quartile is the average of the 2nd and 3rd data points.2nd data point: 63rd data point: 8Upper quartile: (6+8)/2=7
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