Following are the heights in(inches)of 12 student.find the median height. 55,53,54,58,60,61,62,56,57,52,51,63

Statistics

ScanSolve AI Answer

Answer

56.5 inches56.5\ \text{inches}

Step-by-step solution

3 steps

The median height is 56.5 inches.

  1. Order the data

    Arrange the given heights in ascending order:
    51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63

  2. Identify the middle values

    There are 12 data points (an even number). The median is the average of the two middle values. These are the n/2n/2-th and (n/2+1)(n/2 + 1)-th values.
    Here, n=12n=12, so we need the 12/2=612/2 = 6-th value and the (12/2+1)=7(12/2 + 1) = 7-th value.
    The 6th value is 56.
    The 7th value is 57.

  3. Calculate the median

    The median is the average of these two middle values:

    Median=56+572\text{Median} = \frac{56 + 57}{2} Median=1132\text{Median} = \frac{113}{2} Median=56.5\text{Median} = 56.5

    The median height is 56.5\ inches.

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