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What are the medians of the two datasets listed? Dataset 1: (5,19,14,3,8,14,25,0,3,5,1)(5,19,14,3,8,14,25,0,3,5,1) Dataset 2: (5,19,14,3,8,14,25,0,3,5,1,7)

1 answer

To find the median of each dataset, we first need to sort the data points in each dataset and then find the middle value.

Dataset 1: (5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1)

  1. Sort the data: (0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25)

  2. The number of data points (n) is 11 (an odd number), so the median is the middle value: Median = 5 (the 6th number in the sorted list).

Dataset 2: (5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7)

  1. Sort the data: (0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25)

  2. The number of data points (n) is 12 (an even number), so the median is the average of the two middle values: Median = (5 + 7) / 2 = 6.

Summary:

  • Median of Dataset 1: 5
  • Median of Dataset 2: 6