Discussion
Which of the following statements is/are true ?
(1) Median is the value which divides the distribution exactly into two equal halves.
(2) The value of median can be estimated from cumulative frequency graphs.
(3) Median is reliable because it is not affected by sampling fluctuations.
Answer: C
Statements (1) and (2) are true.
The median is the middle value of an ordered distribution, dividing it into two equal halves (1). It can be read from a cumulative frequency graph (ogive) at the point where the cumulative frequency is half the total (2).
Statement (3) is false. The median is not affected by extreme values, but it is affected by sampling fluctuations; in fact it varies more from sample to sample than the mean does, which is why the mean is generally preferred for sampling studies.
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