### Question Description

Consider the following frequency distribution:

Class No. | Class Boundaries | Frequency |

8087.5 - 8096.5 | 3 | |

2 | 8096.5 - 8105.5 | 8 |

3 | 8105.5 - 8114.5 | 10 |

4 | 8114.5 - 8123.5 | 14 |

5 | 8123.5 - 8132.5 | 15 |

The skewness of the frequency distribution is

## Explanation & Answer

**Skewness calculator Formula:**

g=sum(x-xmean)^3 for all observations/(n-1)^3where:

**x**: Mean of samples

**x**:The ith sample

_{i}**n**: Total sample number

**s**: Standard Deviation of all samples

**g**: Sample skewness

Here data: 3,8,10,14,15

n = 5

mean = (3+8+10+14+15)/5 = 10

variance = 23.5

standard deviation = sqrt(23.5) =4.847

Putting these values in skewness formula, we get skewness = -0.3555