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The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set ______. -

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Question

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set ______.

Options

  • is increased by 2

  • is decreased by 2

  • is two times of the original number

  • Remains the same as that of the original set

MCQ
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Solution

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set remains the same as that of the original set.

Explanation:-

No. of observations = 9

∴ median = 5th observation

∵ The largest four observations are increased

∴ 5th observation remains unchanged.

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