Question

The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the above data. The new median is:
1. 56
2. 61
3. 58
4. 49

Answer 1

Correct Answer - Option 3 : 58

Given: 

Observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33

Formula used:

When the numbers of the data are arranged in ascending order, then the number which comes at the centermost point is the Median of the data

Median = [(n + 1)/2]th term; if n = odd

Calculation:

By replacing 92 with and 99 and 41 with 43 and arranging the observations in ascending order:

33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99

New median = [(11 + 1)/2]^th term; as n is odd

⇒ New median = 6^th term = 58

∴ New median is 58