Question

Pranay found the median of a set of 21 distinct observations as 17.5. Later, he observed that 20 is added to each of the last 10 observations of the set. Help him find the median of the new set so formed.

• A. 17.5
• B. Cannot be determined
• C. 22.5
• D. 19.5

Answer 1

The correct option is A 17.5

Given:
The median of a set of 21 distinct observations is 17.5.

Median is the middlemost term in a given set of information.

So, if there are a total of 21 terms, the middlemost term is the 11th term.

So, the 11th term = 17.5

If the last 10 observations are increased by 20, even then the 11 terms of the data remain the same.

So, the median remains the same as that of the original set.

Therefore, the median of the new set will also be 17.5.