Discussion
For any frequency distribution, 50th percentile and ............................ are same.
Answer: B
The 50th percentile is the same as the median.
The pth percentile is the value below which p per cent of the observations lie. The median is the middle value of the ordered distribution, with half the observations below it and half above, so it is by definition the 50th percentile. It is also the second quartile, Q2.
The mean equals the median only in a symmetrical distribution, so it is not the same for any frequency distribution. Quartile deviation and standard deviation are measures of dispersion, not positions in the distribution, so they cannot equal a percentile.
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