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what is the median of the following string of values?

75, 2, 44, 27, 8, 91, 18, 46, 38, 62

41
44
46
38

1 answer

To find the median of the given string of values (75, 2, 44, 27, 8, 91, 18, 46, 38, 62), we can follow these steps:

  1. Sort the values in ascending order:

    • 2, 8, 18, 27, 38, 44, 46, 62, 75, 91

  2. Determine the number of values:

    • There are 10 values in total.

  3. Find the median:

    • Since there is an even number of values (10), the median will be the average of the 5th and 6th values in the sorted list.
    • The 5th value is 38 and the 6th value is 44.

    \( \text{Median} = \frac{38 + 44}{2} = \frac{82}{2} = 41 \)

Therefore, the median of the given values is 41.