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question no. 27

Question 27. Find the Mean of the data given in question number 26.

Q.26.

When a grouped data set is given along with frequencies, we first need to calculate the mid points of the intervals and multiply them with the corresponding frequencies, which can then be divided by the total number of occurences to get the mean.

Solution for the given question:

Daily earnings | Mid-point | Number of drug store | Number x mid-point |

125-175 | 150 | 18 | 2700 |

175-225 | 200 | 25 | 5000 |

225-275 | 250 | 50 | 12500 |

275-325 | 300 | 35 | 10500 |

325-375 | 350 | 12 | 4200 |

Total | 140 | 34900 |

Thus,

$Mean=\frac{\sum _{}Mid-pointofinterval\times Frequencyofinterval}{{\displaystyle \sum _{}}Frequency}\phantom{\rule{0ex}{0ex}}=\frac{34900}{140}=249.28$

Thus, the mean of the given data is 249.28.

Hope it helps.

Regards

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