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Exercises in Chapter 23 data handling central values Grade 7

Questions in Data Handling-Central Values Exercise 23.1

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Day | Mon | Tue | Wed | Thur | Fri | Sat | Sun |
---|---|---|---|---|---|---|---|

Rainfall (in mm) | 0.0 | 12.2 | 2.1 | 0.0 | 20.5 | 5.3 | 1.0 |

(i) Find the range of rainfall from the above data.

(ii) Find the mean rainfall for the week.

(iii) On how many days was the rainfall less than the mean rainfall.

Questions in Data Handling-Central Values Exercise 23.2

The following table shows the weights (in kg) of 15 workers in a factory:

Weight (in Kg) | 60 | 63 | 66 | 72 | 75 |
---|---|---|---|---|---|

Number of workers | 4 | 5 | 3 | 1 | 2 |

Calculate the mean weight.

The ages (in years) of 50 students of a class in a school are given below:

Age (in years) | 14 | 15 | 16 | 17 | 18 |
---|---|---|---|---|---|

Number of students | 15 | 14 | 10 | 8 | 3 |

Find the mean age.

Calculate the mean for the following distribution:

x: | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|

f: | 4 | 8 | 14 | 11 | 3 |

Find the mean of the following data:

x: | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
---|---|---|---|---|---|---|---|

f: | 13 | 15 | 16 | 18 | 16 | 15 | 13 |

The mean of the following data is 20.6. Find the value of p.

x: | 10 | 15 | p | 25 | 31 |
---|---|---|---|---|---|

f: | 3 | 10 | 25 | 7 | 5 |

If the mean of the following data is 15, find p.

x: | 5 | 10 | 15 | 20 | 25 |
---|---|---|---|---|---|

f: | 6 | p | 6 | 10 | 5 |

Find the value of p for the following distribution whose mean is 16.6

x: | 8 | 12 | 15 | p | 20 | 25 | 30 |
---|---|---|---|---|---|---|---|

f: | 12 | 16 | 20 | 24 | 16 | 8 | 4 |

Find the missing value of p for the following distribution whose mean is 12.58

x: | 5 | 8 | 10 | 12 | p | 20 | 25 |
---|---|---|---|---|---|---|---|

f: | 2 | 5 | 8 | 22 | 7 | 4 | 2 |

Find the missing frequency (p) for the following distribution whose mean is 7.68

x: | 3 | 5 | 7 | 9 | 11 | 13 |
---|---|---|---|---|---|---|

f: | 6 | 8 | 15 | p | 8 | 4 |

Find the value of p, if the mean of the following distribution is 20

x: | 15 | 17 | 19 | 20+p | 23 |
---|---|---|---|---|---|

f: | 2 | 3 | 4 | 5p | 6 |

Questions in Data Handling-Central Values Exercise 23.3

Questions in Data Handling-Central Values Exercise 23.4

Calculate the mean and median for the following data:

Marks | 10 | 11 | 12 | 13 | 14 | 16 | 19 | 20 |
---|---|---|---|---|---|---|---|---|

Number of students | 3 | 5 | 4 | 5 | 2 | 3 | 2 | 1 |

Using empirical formula, find its mode.

The following table shows the weights of 12 persons.

Weight (in kg) | 48 | 50 | 52 | 54 | 58 |
---|---|---|---|---|---|

Number of persons | 4 | 3 | 2 | 2 | 1 |

Find the median and mean weights. Using empirical relation, calculate its mode.

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