#### Description

- Computation of Measures of Central Tendency - Mean
- Direct Method of Mean
- Assumed Mean Method Or Shift of Origine Method
- Step Deviation Method for Mean Or Shift of Origin and Change of Scale
- Assumed Mean Method, Step-deviation method

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#### Related QuestionsVIEW ALL [80]

If the mean of the following distribution is 27, find the value of p.

Class | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |

Frequency | 8 | p | 12 | 13 | 10 |

The following table shows the marks scored by 80 students in an examination:

Marks | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |

No. of students |
3 | 10 | 25 | 49 | 65 | 73 | 78 | 80 |

Weight of 60 eggs were recorded as given below:

Weight (in grams) | 75 – 79 | 80 – 84 | 85 – 89 | 90 – 94 | 95 – 99 | 100 - 104 | 105 - 109 |

No. of eggs | 4 | 9 | 13 | 17 | 12 | 3 | 2 |

Calculate their mean weight to the nearest gram.

The following table shows the age distribution of patients of malaria in a village during a particular month:

Age (in years) | 5 – 14 | 15 – 24 | 25 – 34 | 35 – 44 | 45 – 54 | 55 - 64 |

No. of cases | 6 | 11 | 21 | 23 | 14 | 5 |

Find the average age of the patients.

Find the mean age from the following frequency distribution:

Age (in years) | 25 – 29 | 30 – 34 | 35 – 39 | 40 – 44 | 45 – 49 | 50 – 54 | 55 – 59 |

Number of persons | 4 | 14 | 22 | 16 | 6 | 5 | 3 |

Find the mean of the following data using step-deviation method:

Class | 500 – 520 | 520 – 540 | 540 – 560 | 560 – 580 | 580 – 600 | 600 – 620 |

Frequency | 14 | 9 | 5 | 4 | 3 | 5 |

Find the arithmetic mean of the following frequency distribution using step-deviation method:

Age (in years) | 18 – 24 | 24 – 30 | 30 – 36 | 36 – 42 | 42 – 48 | 48 – 54 |

Number of workers | 6 | 8 | 12 | 8 | 4 | 2 |

In an annual examination, marks (out of 90) obtained by students of Class X in mathematics are given below:

Marks Obtained |
0 – 15 | 15 – 30 | 30 – 45 | 45 – 60 | 60 – 75 | 75 – 90 |

Number of students |
2 | 4 | 5 | 20 | 9 | 10 |

Find the mean marks.