Question

If median of 10 observations is equal to
5 and the largest observation is
increased by 2 then the median of new
data set will be
A 2 .
B 5
C 7
D 10​

Answer 1

Answer:

7

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Answer 2

If the median of 10 observations is equal to 5 and the largest observation is increased by 2 then the median of the new data set will be 5. Option(b) is the correct option.

• The Median is the middle value of the series when it is sorted.
• In this case, the total number of observations is even(n = 10), so the median will be equal to the average of the 5th value and the 6th value in the sorted series.
• If we increase the largest observation by 2 that means the value at the 10th observation is increased by 2. It is not used to calculate the median so it will not affect the median of the observation.
• Hence, the median remains the same that is 5.