Question
Differentiate between positive and negative skewness with details and using a diagram.
✓
Answer
| No | Positive skewness | Negative skewness | |
| $1.$ | In a positively skewed frequency distribution the values of mean. median and mode are in descending order, i.e., $\bar{x}>M>M_0$ | $1.$ | In a negatively skewed frequency distribution the values of mean, median and mode are in ascending order, i.e., $\overline{ x } < M < M _0$ |
| $2.$ | The distance between third quartile $Q_3$ and median M is greater than the distance between median M and first quartile $Q _1$ i.e., $\left( Q _3-M\right)$ > $\left(M-Q_1\right)$ | $2.$ | The distance between third quartile $Q _3$ and median M is less than the distance between median M and first quartile $Q_1$, i.e., $\left(Q_3-M\right)<\left(M-Q_{1)}\right.$. |
| $3.$ | The right tail of the frequency curve is more enlongated.  |
$3.$ | The left tail of the frequency curve is more enlongated.  |
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