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Find the median and mean of the data set below:

33, comma, 28, comma, 46, comma, 41, comma, 9, comma, 14
33,28,46,41,9,14

1 answer

To find the median and mean of the data set: 33, 28, 46, 41, 9, 14, we first need to organize the data.

  1. Order the data set:

    • First, we sort the numbers in ascending order:
    • 9, 14, 28, 33, 41, 46

  2. Calculate the median:

    • Since there are 6 numbers in the data set (an even number), the median will be the average of the two middle numbers.
    • The two middle numbers are the 3rd and 4th numbers in the ordered set (28 and 33).
    • Median = (28 + 33) / 2 = 61 / 2 = 30.5

  3. Calculate the mean:

    • To find the mean, we sum all the numbers and divide by the number of values.
    • Sum: 9 + 14 + 28 + 33 + 41 + 46 = 171
    • Number of values: 6
    • Mean = Sum / Number of values = 171 / 6 = 28.5

Results:

  • Median: 30.5
  • Mean: 28.5