Question

1. The median of a set of 9 distinct observations is 20. If each of the largest 4 observations
of the set is increased by 2, find the median of the resulting set.​

Answer 1

Answer:

The median remains the same.

Explanation:

Let the observations be:

x1, x2, x3, x4, x5, x6, x7, x8, x9

Median = x5

Then, largest 4 observations are: x6, x7, x8, x9

When they are increased by 2, the set becomes:

x1, x2, x3, x4, x5, x6 + 2, x7 + 2, x8 + 2, x9 + 2

Median of new set = x5

Thus, no change in the median occurs.

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