Home
Class 12
MATHS
The S.D. of the first n natural numbers ...

The S.D. of the first n natural numbers is

A

`(n+1)/(2)`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    FIITJEE|Exercise Assertion -Reasoning Type MCQ Single Correct(Level II)|2 Videos
  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos
  • STATISTICS

    FIITJEE|Exercise Assignment Problems (Objective) Level -I|20 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The S.D. of first n odd natural numbers is:

Statement-1 :Variance of first n natural number is (n^2-1)/12 . Statement-2 : S.D. of first n natural number is sqrt((n^2-1)/12)

Let S_(n) denote the sum of the cubes of the first n natural numbers and s_(n) denote the sum of the first n natural numbers.Then sum_(r=1)^(n)(S_(r))/(s_(r)) is equal to

let S_(n) denote the sum of the cubes of the first n natural numbers and s_(n) denote the sum of the first n natural numbers , then sum_(r=1)^(n)(S_(r))/(s_(r)) equals to

FIITJEE-STATISTICS-Assignment Problems (Objective) Level II
  1. The S.D. of the first n natural numbers is

    Text Solution

    |

  2. Which of the following in case of a discrete data, is not equal to the...

    Text Solution

    |

  3. For a frequency distribution the mean deviation about mean is computed...

    Text Solution

    |

  4. For a frequency distribution 7th decile is computed by the formula

    Text Solution

    |

  5. For a given distribution of marks, the mean is 35.16 and its standard ...

    Text Solution

    |

  6. The standard deviation for the set of numbers, 1,4,5,7,8 is nearly 2.4...

    Text Solution

    |

  7. For a frequency distribution lower quartile is computed by

    Text Solution

    |

  8. The upper quartile for the following distribution is given by the s...

    Text Solution

    |

  9. Quartile deviation for a frequency distribution is

    Text Solution

    |

  10. The variance of first n natural number is:

    Text Solution

    |

  11. For a frequency distribution standard deviation is computed by

    Text Solution

    |

  12. For a frequency distribution standard deviation is computed by applyin...

    Text Solution

    |

  13. d(1) is the deviation of a class mark y(i) from 'a' the assumed mean a...

    Text Solution

    |

  14. The difference between the highest and lowest values of the observa...

    Text Solution

    |

  15. b(xy) xx b(yx) is equal to

    Text Solution

    |

  16. Which of the following is true?

    Text Solution

    |

  17. Which of the following is not possible

    Text Solution

    |

  18. If ui=axi+b and vi =cyi+d then

    Text Solution

    |

  19. If yi=axi+b for each i=1,2,3,........n, then

    Text Solution

    |

  20. If e gt 0 and m=(byx +bxy)/(2), then

    Text Solution

    |