Question

Which one of the following measures is determined only after the construction of cumulative frequency distribution?

• A. Arithmetic mean
• B. Mode
• C. Median
• D. Geometric mean

Answer 1

Answer: (C)

Median

Median for the distribution is given by $L+\frac{\frac{n}{2}-c.f.}{f}\times i$

where, $L$ is the lower limit of the median class

$c.f.$ is the cumulative frequency of the class preceding the median class.

$f$ is the frequency of median class

$i$ is the length of the class interval

Therefore, median requires the construction of the cumulative frequency distribution