Question
Define skewed frequency distribution and state its characteristics.

Answer

  • The frequency distribution with lack of symmetry is called skewed frequency distribution.
  • Characteristics of skewed frequency distribution :
  • The values of mean, median and mode are not same, i.e., $\bar{x} \neq M \neq M_0$
  • Quartiles $Q_1$ and $Q_3$ are not equidistant from median $M$, i.e., $\left(Q_3-M\right) \neq\left(M-Q_1\right)$.
  • The right or left tail of the frequency curve of a frequency distribution is more enlongated, i.e., the frequency curve is not bell - shaped.
  • The frequency of observation at equidistant on both the sides of mode is not evenly distributed.

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