Home
Class 11
MATHS
The mean and standard deviation of 100 o...

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 sand standard deviation?

Text Solution

Verified by Experts

The correct Answer is:
39.9,5
NA
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise NCERT QUESTIONS|27 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

The mean and standard deviation of 1,2,3,4,5,6 are

the mean and standard deviation of 1,2,3,4,5,6 are

The mean of 50 observations were calculated as 4.04 by Mohan who took by mistake 10 instead of 8 for one observation. The correct mean is

The standard deviation of the observation 5, 5, 5, 5, 5 is

The mean and standard deviation of 20 observations are found to be 10 and 2 respectively.One rechecking,it was found that an observation 8 was incorrect.Calculate the correct mean and standard deviation in each of the following cases.(i) If wrong item is omitted (ii) If it is replaced by 12.

The mean and standard deviation of 18 observations are found to be 7 and 4 respectively. On rechecking it was found that an observation 12 was misread as 21. Calculate the correct mean and standard deviation.

For a group of 200 candidates, the mean and standard deviation of scores were found to be 40 and 15 respectively. Later on if was discovered that the scores of 43 and 35 were misread as 34 and 53 respectively. Find the correct mean and standard derivation corresponding to the correted figures.

NAGEEN PRAKASHAN-STATISTICS-EXERCISE
  1. Find the mean deviation using mean for the following datas:

    Text Solution

    |

  2. Find the mean deviation from median for the following tables:

    Text Solution

    |

  3. Find the mean deviation from the short cut method.

    Text Solution

    |

  4. Find the standard deviation from the followig datas: (a) 10,20,30,4...

    Text Solution

    |

  5. Find the standard deviation from the following datas:

    Text Solution

    |

  6. Find the standard deviation from the following datas, using assumed me...

    Text Solution

    |

  7. Find the standard deviation from the following datas, using assumed me...

    Text Solution

    |

  8. Find the standard deviation from the following datas, using assumed me...

    Text Solution

    |

  9. The mean and variance of 5 observations are respectively 4.4 and 8.24....

    Text Solution

    |

  10. The mean and variance of 8 observations are respectively 9 and 9.25. I...

    Text Solution

    |

  11. The mean and standard deviation of 100 observations were calculated as...

    Text Solution

    |

  12. The mean and standard deviation of 20 observations are found to be ...

    Text Solution

    |

  13. Calculate the mean and standard deviation of first natural numbers.

    Text Solution

    |

  14. Find the mean, variance and standard deviation of first n natural numb...

    Text Solution

    |

  15. Find out the standard deviation from the following distribution table:

    Text Solution

    |

  16. If the coefficients of variations for two distributions are 40 and 50 ...

    Text Solution

    |

  17. Find which group is more variable:

    Text Solution

    |

  18. The arithmetic means of two distributions are 20 and 35 and their S.D....

    Text Solution

    |

  19. Find which group is more variable:

    Text Solution

    |

  20. In the following table, the mean and S.D. of the income of the employe...

    Text Solution

    |