The table below shows the number of WINS for the UMD women\'s basketball team fo

Question

The table below shows the number of WINS for the UMD women's basketball team for each of the 42 years from 1975 to 206: c. If the value at the 60^th percentile of the distribution of WINS over the 42 years equals 23.6, by how many WINS can one occurrence of the maximum value for WINS be reduced, yet still NOT change the value at the 60^th percentile (holding all other values constant)? Basically, determine the largest number of WINS that one maximum value for WINS could be reduced yet NOT affect the value at the 60^th percentile.

Explanation / Answer

Basically the maximum value could be reduced to the 60th percentile value itself without affecting the value of the current 60th percentile value because the 60th percentile value is greater than the 60% of the values. This means that it only depends on the values that are less than this value.

The 60th percentile value here is 23.6 and the maximum value initially is 34 ( as seen from the given data ) Therefore this 34 value could be reduced to 23.6 by reducing it by (34-23.6) = 10.4 wins.

Therefore 10.4 wins is the required answer here.

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