2018 · Q60
Consider the following statements :
Statement IMedian can be computed even when the end intervals of a frequency distribution are open.
Statement IIMedian is a positional average.
Which one of the following is correct in respect of the above statements?
Elementary MathematicsStatistics
- ABoth Statement I and Statement II are true and Statement II is the correct explanation of Statement I
- BBoth Statement I and Statement II are true and Statement II is not the correct explanation of Statement I
- CStatement I is true but Statement II is false
- DStatement I is false but Statement II is true
Explanation
The median depends only on the position of the middle observation, so it can be computed even when end classes are open (statement I true), and it is indeed a positional average (statement II true). However, statement II does not explain statement I. Hence option B.