Question 1: Calculate the mean deviation from the median of the following frequency distribution:

Heights in inches | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 |

No of students | 15 | 20 | 32 | 35 | 53 | 22 | 20 | 10 | 8 |

Answer:

We have to calculate mean deviation about median. Hence, first we calculate median.

Question 2: The number of telephone calls received at an exchange in 245 successive one-minute intervals are shown in the following frequency distribution:

Number of calls | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

Frequency | 14 | 21 | 25 | 43 | 51 | 40 | 39 | 12 |

Compute the mean deviation about median.

Answer:

We have to calculate mean deviation about median. Hence, first we calculate median.

Question 3: Calculate the mean deviation from the median of the following frequency distribution:

5 | 7 | 9 | 11 | 13 | 15 | 17 | |

2 | 4 | 6 | 8 | 10 | 12 | 8 |

Answer:

We have to calculate mean deviation about median. Hence, first we calculate median.

Question 4: Find the mean deviation from the mean for the data:

(i)

5 | 7 | 9 | 10 | 12 | 15 | |

8 | 6 | 2 | 2 | 2 | 6 |

(ii)

5 | 10 | 15 | 20 | 25 | |

7 | 4 | 6 | 3 | 5 |

(iii)

10 | 30 | 50 | 70 | 90 | |

4 | 24 | 28 | 16 | 8 |

(iv)

20 | 21 | 22 | 23 | 24 | |

6 | 4 | 5 | 1 | 4 |

(v)

1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | |

3 | 3 | 4 | 1 | 47 | 4 | 3 | 4 |

Answer:

(i) Calculation of mean deviation about mean.

(ii) Calculation of mean deviation about mean.

(iii) Calculation of mean deviation about mean.

(iv) Calculation of mean deviation about mean.

(v) Calculation of mean deviation about mean.

Question 5: Find the mean deviation from the median for the data:

(i)

15 | 21 | 27 | 30 | 35 | ||

3 | 5 | 6 | 7 | 8 |

(ii)

74 | 89 | 42 | 54 | 91 | 94 | 35 | |

20 | 12 | 2 | 4 | 5 | 3 | 4 |

(iii)

10 | 11 | 12 | 14 | 15 | ||

2 | 3 | 8 | 3 | 4 |

Answer:

(i) We have to calculate mean deviation about median. Hence, first we calculate median.

(ii) We have to calculate mean deviation about median. Hence, first we calculate median.

(iii) We have to calculate mean deviation about median. Hence, first we calculate median.