Write the median

Mathematics

ScanSolve AI Answer

Answer

37\text{37}

Step-by-step solution

2 steps

The median was already calculated in part d) of the previous problem.

  1. Determine the position of the median.

    There are n=35n=35 data points. Since nn is an odd number, the median is the n+12\frac{n+1}{2}-th value.

    Median position=35+12=362=18-th value\text{Median position} = \frac{35+1}{2} = \frac{36}{2} = 18\text{-th value}
  2. Find the 18th value in the sorted data set.

    The sorted data set is:
    12, 17, 18, 21, 23, 25, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 37, 37, 37, 37, 37, 37, 44, 45, 46, 46, 52, 53, 53, 56, 57, 61, 62, 62
    The 18th value is 37.

    Median=37\text{Median} = \boxed{\text{37}}
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