question no. 27

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

Q.26.

Tabassum Hussain answered this

mean = sum of observation/total no of observation

( 18+25+50+35+12) /5 = 140/5 = 28

( 18+25+50+35+12) /5 = 140/5 = 28

Devansh Shah answered this

Dear Student,

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:

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

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