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Find the median and mean of the data set below: 47,27,9,15,15,19 Median = ◻ Mean = ◻

Find the median and mean of the data set below:\newline47,27,9,15,15,19 47,27,9,15,15,19 \newlineMedian =□ = \square \newlineMean =□ = \square

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Full solution

Q. Find the median and mean of the data set below:\newline47,27,9,15,15,19 47,27,9,15,15,19 \newlineMedian =□ = \square \newlineMean =□ = \square
  1. Arrange Data in Ascending Order: First, we need to arrange the data set in ascending order to find the median.\newlineThe given data set: 47,27,9,15,15,1947, 27, 9, 15, 15, 19\newlineArranged in ascending order: 9,15,15,19,27,479, 15, 15, 19, 27, 47
  2. Find Median: Now, we find the median, which is the middle number of the ordered data set. Since there are an even number of data points (66), the median will be the average of the two middle numbers.\newlineThe two middle numbers are the 33rd and 44th numbers in the ordered set: 1515 and 1919.\newlineMedian = (15+19)/2(15 + 19) / 2\newlineMedian = 34/234 / 2\newlineMedian = 1717
  3. Calculate Mean: Next, we calculate the mean (average) of the data set by adding all the numbers together and then dividing by the number of data points.\newlineMean = (9+15+15+19+27+47)/6(9 + 15 + 15 + 19 + 27 + 47) / 6\newlineMean = 132/6132 / 6\newlineMean = 2222

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