Sum

A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.

Milk Sold (Litre) |
1 - 2 | 2 - 3 | 3 - 4 | 4 - 5 | 5 - 6 |

No. of Customers |
17 | 13 | 10 | 7 | 3 |

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#### Solution

Class(Milk sold in litres) |
Class Markx_{i} |
Frequency(Number of customers)f_{i} |
Class mark × Frequencyx_{i}f_{i} |

1 - 2 | 1.5 | 17 | 25.5 |

2 - 3 | 2.5 | 13 | 32.5 |

3 - 4 | 3.5 | 10 | 35 |

4 - 5 | 4.5 | 7 | 31.5 |

5 - 6 | 5.5 | 3 | 16.5 |

Total |
- | \[\sum_{} f_i = 50\] | \[\sum_{} x_i f_i = 141\] |

Mean = \[\frac{\sum_{} x_i f_i}{\sum_{} f_i}\]

\[= \frac{141}{50}\]

= 2.82 litres

Hence, the mean of the milk sold is 2.82 litres.

Concept: Tabulation of Data

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