Home
Class 11
MATHS
The mean of the squares of first natura...

The mean of the squares of first natural numbers is

A

`frac(1)(2)n^2`

B

`frac(1)(8)n(n+1)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos
  • STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK |25 Videos

Similar Questions

Explore conceptually related problems

The sum of the squares of first n natural numbers is -

Prove by mathematical induction that the sum of the squares of first n natural numbers is 1/6n(n+1)(2n+1) .

Sum of squares of first 10 natural numbers is

Mean of first n natural numbers is

If the sum of the squares of the first n natural numbers exceeds their sum by 330 , then find ndot

The sum of the cubes of first n natural numbers is -

There are natural numbers. Answer the following questions considering first natural numbers. Mean of square of first n natural numbers is -

Statement - I :Mean of square of first n natural numbers is ((n+1)(2n+1))/(6) Statement - II : Sigman=(n(n+1))/(2)

The mean of square of 1st n natural number is

The variance of first 20 natural numbers is

PATHFINDER-STATISTICS AND MATHEMATICAL REASONING-QUESTION BANK
  1. The Mean of a set of numbers is overlinex . If each number is incre...

    Text Solution

    |

  2. The mean of a set of numbers is overlinex . If such numbers is multip...

    Text Solution

    |

  3. The mean of the squares of first natural numbers is

    Text Solution

    |

  4. For a continuous series the mean is computed by the following formula

    Text Solution

    |

  5. If the mean of first n natural numbers is equal to (n+7)/3 , then n i...

    Text Solution

    |

  6. The mean of discrete observation y1, y2,…yn is given by

    Text Solution

    |

  7. The mean of 130, 126, 68, 50, 1 is

    Text Solution

    |

  8. If di is the deviation of a class mark yi from 'a' the ' assumed mean ...

    Text Solution

    |

  9. The mean of first three terms is 14 and mean of next two terms is 18. ...

    Text Solution

    |

  10. Geometric mean of the numbers 2, 2^2, 2^3, ….,2^(n) numbers is

    Text Solution

    |

  11. The geometric mean of numbers observations x1, x2, x3,….,xn is

    Text Solution

    |

  12. The geometric mean of numbers observations 4, 8, 16, is

    Text Solution

    |

  13. The harmonic mean of 4, 8, 16, is

    Text Solution

    |

  14. The harmonic mean of 3, 7, 8, 10, 14, is

    Text Solution

    |

  15. Product of n positive number is unity. The sum of these numbers can n...

    Text Solution

    |

  16. In an arranged series of n observations (n being an odd number), the ...

    Text Solution

    |

  17. The median of 10, 14, 11, 9, 8, 12, 6, is

    Text Solution

    |

  18. If a variable takes the discrete values alpha+4 , alpha-(7)/(2), alpha...

    Text Solution

    |

  19. In an arranged discrete series in which total number of observations ...

    Text Solution

    |

  20. The mode of following items 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6,...

    Text Solution

    |