Home
Class 12
MATHS
The variance of first n natural number i...

The variance of first n natural number is:

A

`(n^(2)+1)/(12)`

B

`(n^(2)-1)/(12)`

C

`((n+1)(2n+1))/(6)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    FIITJEE|Exercise Exercise 1|5 Videos
  • STATISTICS

    FIITJEE|Exercise Exercise 2|4 Videos
  • STATISTICS

    FIITJEE|Exercise Solved Problems(Subjective)|9 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If the variance of first n natural numbers is 2 and the variance of first m odd natural numbers is 40, then m +n =

Find the variance of first n natural numbers.

FIITJEE-STATISTICS-Solved Problems(Objective)
  1. If each observations of a raw data whose variance is sigma^(2) is mult...

    Text Solution

    |

  2. If the S.D. of a variate R is sigma, then the S.D. of pR+q is

    Text Solution

    |

  3. Let q be the range and S^(2)=(1)/(n-1) underset(i=1)overset(n)sum (x(i...

    Text Solution

    |

  4. If the coefficient of variation of two series are 75% and 90% and thei...

    Text Solution

    |

  5. If standard deviation of a set of observation is 4 and if each of the ...

    Text Solution

    |

  6. The first of the two samples have 100 items with mean 15 and S.D.3. If...

    Text Solution

    |

  7. For a series the value of men deviation is 15. The most likely ...

    Text Solution

    |

  8. What is quartile deviation for the datsa {:(,x,2,3,4,5,6),(,f,3,4,8,4,...

    Text Solution

    |

  9. The variance of first n natural number is:

    Text Solution

    |

  10. Karl Pearlon's coefficient of skewness of a distribution is 0.32. Its ...

    Text Solution

    |

  11. The M.D. of the variates 40,62,68,76,54 from A.M. is

    Text Solution

    |

  12. The M.D. of the variates 100,101,.....,109 from A.M. is nearly

    Text Solution

    |

  13. The variance of the vriates 112, 116,120,125,132 about their A.M. is

    Text Solution

    |

  14. The co-eff. Of variation of a data is 58%, S.D. of the data is 2.32 th...

    Text Solution

    |

  15. Iin a moderately skewed distribution the values of mean and median ar...

    Text Solution

    |

  16. If the regression co-efficients are 0.8 and 0.2, then the value of co-...

    Text Solution

    |

  17. If S.D of a variable x is sigma then S.D of (ax+b)/c is

    Text Solution

    |

  18. If the two lines of regression of a bivariate distribution coincide, t...

    Text Solution

    |

  19. If the angle between two lines regression is 90^(@), then it represent...

    Text Solution

    |

  20. The co-efficient of correlation between two variables x and y is 0.5. ...

    Text Solution

    |