Home
Class 11
MATHS
If the sum of the squares of deviations ...

If the sum of the squares of deviations for 10 observations taken from their means is 2.5, then write the value of standard deviation.

Text Solution

Verified by Experts

The correct Answer is:
standard deviation is `0.5`

Here, `N=10` and mean `=2.5`

The square of each division `=\frac{2.5}{10}=0.25`

Standard deviation `\sigma=\sqrt{0.25}`
$$ \sigma=0.5 ...
Promotional Banner

Topper's Solved these Questions

  • SOME SPECIAL SERIES

    RD SHARMA|Exercise Solved Examples And Exercises|69 Videos
  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

Similar Questions

Explore conceptually related problems

The sum of the squares of deviation of 10 observations from their mean 50 is 250, then coefficient of variation is

If the sum of the squares of the deviations of 25 observations taken from the mean 40 is 900, then the coefficient of variation is

If the mean of 10 observation is 50 and the sum of the square of the deviations of observation from the mean is 250, then the coefficient of variation of these observation is

The algebraic sum of deviations of 10 observations measured from 15 is 7 The mean is

Mean deviation of 5 observations from their mean 3 is 1.2, then coefficient of mean deviation is

If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is

Find the sum of the deviations of the variate values from their mean.

RD SHARMA-STATISTICS-Solved Examples And Exercises
  1. Show that the two formulae for the standard deviation of ungrouped d...

    Text Solution

    |

  2. Find the variance and standard deviation for the following distribu...

    Text Solution

    |

  3. Table below shows the frequency f with which x alpha particles were ra...

    Text Solution

    |

  4. Calculate the mean and S.D. for the following data: Expenditure (i...

    Text Solution

    |

  5. Calculate the standard deviation for the following data: Class 0-...

    Text Solution

    |

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

    Text Solution

    |

  7. Calculate mean, variance and standard deviation of the following fre...

    Text Solution

    |

  8. An analysis of monthly wages paid to workers in two firms A and B, bel...

    Text Solution

    |

  9. The following values are calculated in respect  of heights and weights...

    Text Solution

    |

  10. The sum and sum of squares corresponding to length x (in cm) and weigh...

    Text Solution

    |

  11. Two plants A and B of a factory show following results about the numbe...

    Text Solution

    |

  12. The means and standard deviations of heights ans weights of 50 student...

    Text Solution

    |

  13. Coefficient of variation of two distributions are 60% and 70% and thei...

    Text Solution

    |

  14. An analysis of the weekly wages paid to workers in two firms A and B, ...

    Text Solution

    |

  15. The mean and standard deviation of marks obtained by 50 students of a ...

    Text Solution

    |

  16. The variance of first n natural number is:

    Text Solution

    |

  17. If the sum of the squares of deviations for 10 observations taken from...

    Text Solution

    |

  18. If x1, x2, ,\ xn are n values of a variable X\ a n d\ y1, y2 yn are n...

    Text Solution

    |

  19. In a series of 20 observations, 10 observation each equal to k and eac...

    Text Solution

    |

  20. If each observation of a dist., whose variance is σ^2 , is multiplied ...

    Text Solution

    |