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
Doubtnut Promotions Banner Mobile Dark
|

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:

The mean of the first n natural numbers is 10, then the number of observations is__________

Knowledge Check

  • The mean of the first n natural numbers is 32, find n.

    A
    64
    B
    63
    C
    65
    D
    62

  • The mean of the cubes of the first n natural numbers is

    A
    `(n(n + 1)^2)/2`
    B
    `(n(n+1)^2)/4`
    C
    `(n(n + 1)(n+2))/8`
    D
    `n^(2)+n+ 1`

  • The arithmetic mean of the square of the first n natural number is

    A
    `(n(n+1)(2n+1))/(6)`
    B
    `(n(n+1)(2n+1))/(2)`
    C
    `((n+1)(2n+1))/(6)`
    D
    `((n+1)(2n+1))/(3)`

    • Similar Questions

    Explore conceptually related problems

    For some natureal number 'n', the sum of the fist 'n' natural numbers is 240 less than the sum of the first (n+5) natural numbers. Then n itself is the sum of how many natural numbers starting with 1.

    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

    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)/(8_r) is equal to

    Home
    Profile