Home
Class 12
MATHS
The mean and the standard deviation of a...

The mean and the standard deviation of a characteristic of 100 items were found to be 60 and 10 respectively. At the time of calculations, two items were wrongly take as 5 and 45 instead of 30 and 20. Calculate the corrected mean and corrected standard deviation.

Text Solution

Verified by Experts

The correct Answer is:
Mean = 60 and S.D. = 9.62
Promotional Banner

Topper's Solved these Questions

  • MEASURES OF DISPERSION

    CHHAYA PUBLICATION|Exercise Exercise 3 (Long answer type questions)|22 Videos

  • MEASURES OF DISPERSION

    CHHAYA PUBLICATION|Exercise Sample question for competitive exams (A Integer answer type)|5 Videos

  • MEASURES OF DISPERSION

    CHHAYA PUBLICATION|Exercise Exercise 3 Very Short answer type|26 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

  • MEASURMENT OF TRIGONOMETRICAL ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later found that he had wrongly copied one observation as 50, the correct figure being 40. Calculate the correct mean and correct standard deviation.

The mean and standard deviation of two numbers are 10 and 2 respectively. Find the numbers.

The mean and standard deviation of a group of 100 observations were found to be 20 and 3, respectively. Later on it was found that three observations were incorrect, which were recorded as 21, 21 and 18. Find the mean and standard deviation if the incorrect observations are omitted.

The A.M. of 20 frequencies is 30. At the time of verification it was found that two frequencies were wrongly written as 27 and 30 instead of 31 and 38. Find the correct A.M.

For a group of 200 candidates the mean and S.D. were found to be 40 and 15 respectively. Later on it was found that the score 43 was misread as 34. Find the correct mean and correct S.D.

The mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively by a student who took by mistake 50 instead of 40 for one observation. What are the correct mean and standard deviation ?

The standard deviation of a set of 30 items is 9.5 Find the standard deviation if every items is decreased by 5.

For a group of 200 students the mean and S.D. of marks obtained by them were found to be 40 and 15 respectively. Later on, it was found that the score 23 was misread as 32. Find the correct mean and correct S.D.

The mean and standard deviation of 100 observations were calculated as 40 and 5.1, respectively by a student who took by mistake 50 instead of 40 for one observation. What are the correct mean and standard deviation?

CHHAYA PUBLICATION-MEASURES OF DISPERSION -Exercise 3 Short answer type
  1. Calculate the value of M.D. from the mean of the following frequency d...

    Text Solution

    |

  2. Find the mean deviation from the mean for the following data :

    Text Solution

    |

  3. Find the mean deviation from median of the following data :

    Text Solution

    |

  4. Find the mean deviation about the median of the following frequency di...

    Text Solution

    |

  5. Calculate the mean deviation from median of the following frequency di...

    Text Solution

    |

  6. Calculate the mean deviation from median of the following frequency di...

    Text Solution

    |

  7. Find the mean deciation about the median for the following frequency d...

    Text Solution

    |

  8. Find the mean deviation about median from the following data :

    Text Solution

    |

  9. Determine the mean deviation from the median for the following grouped...

    Text Solution

    |

  10. Calculate the mean deviation about (a) median and (b) mean for the fol...

    Text Solution

    |

  11. Calculate the average deviation from the mean for the following data :

    Text Solution

    |

  12. A student obtained the mean and standard deviation of 100 observations...

    Text Solution

    |

  13. The mean and the standard deviation of a characteristic of 100 items w...

    Text Solution

    |

  14. Find the S.D. in respect of each of the following frequency distributi...

    Text Solution

    |

  15. Find the S.D. in respect of each of the following frequency distributi...

    Text Solution

    |

  16. Find the S.D. in respect of each of the following frequency distributi...

    Text Solution

    |

  17. Find the S.D. of each of the following grouped frequency distributions...

    Text Solution

    |

  18. Find the S.D. of each of the following grouped frequency distributions...

    Text Solution

    |

  19. Find the S.D. of each of the following grouped frequency distributions...

    Text Solution

    |

  20. Find the S.D. of each of the following grouped frequency distributions...

    Text Solution

    |