Find out the median from the following data: 10, 16, 5, 8, 12, 11

Mathematics

ScanSolve AI Answer

Answer

10.5

Step-by-step solution

4 steps

The median of the given data is 10.5.

  1. Order the data

    Arrange the data points in ascending order.
    5, 8, 10, 11, 12, 16

  2. Determine the number of data points

    There are 6 data points in the set. Since the number of data points is even, the median will be the average of the two middle numbers.

  3. Identify the middle numbers

    For an even set of nn data points, the middle numbers are at positions n/2n/2 and (n/2)+1(n/2) + 1.
    Here, n=6n=6, so the positions are 6/2=36/2 = 3 and (6/2)+1=4(6/2) + 1 = 4.
    The 3rd number is 10.
    The 4th number is 11.

  4. Calculate the median

    The median is the average of these two middle numbers.

    Median=10+112\text{Median} = \frac{10 + 11}{2} Median=212\text{Median} = \frac{21}{2} Median=10.5\text{Median} = 10.5

    The median is 10.5.

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