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The following data points represent the number of pumpkins at each pumpkin patch in Witchton, Kansas.

52,24,41,61,89,36,56
Find the median number of pumpkins.
pumpkins

The following data points represent the number of pumpkins at each pumpkin patch in Witchton, Kansas.\newline52,24,41,61,89,36,56 52,24,41,61,89,36,56 \newlineFind the median number of pumpkins.\newlinepumpkins

Full solution

Q. The following data points represent the number of pumpkins at each pumpkin patch in Witchton, Kansas.\newline52,24,41,61,89,36,56 52,24,41,61,89,36,56 \newlineFind the median number of pumpkins.\newlinepumpkins
  1. Arrange Data Points: To find the median, we first need to arrange the data points in ascending order. The data points given are 5252, 2424, 4141, 6161, 8989, 3636, 5656. Let's arrange them from smallest to largest.\newlineCalculation: 2424, 3636, 4141, 5252, 5656, 6161, 8989
  2. Find Middle Number: Now that the data points are in order, we need to find the middle number. Since there are 77 data points, the median will be the 44th number, as it is the one that has an equal number of data points on either side.\newlineCalculation: The 44th number in the ordered list is 5252.
  3. Calculate Median: The median number of pumpkins is the 4th4^{\text{th}} number in our ordered list, which we have determined to be 5252.

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