Home
Class 12
MATHS
If the variate of a distribution takes t...

If the variate of a distribution takes the values `1^(2), 2^(2), 3^(2),….n^(2)` with frequencies `n, n-1, n-2,….3,2,1` respectively, then the mean value of the distribution is

A

`(n(n+2))/(3)`

B

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

C

`(n+2)/(3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 60

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 62

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If the observation 1, 2, 3, ……….., n occur with frequency, n,(n-1), (n-2),…..,1 respectively such that the mean of observations is (13)/(3) , then n is equal to

Consider the date on x taking the values 0,2,4,8,………., 2^(n) with frequencies ""^(n)C_(0) , ""^(n)C_(1), ""^(n)C_(2),……..,""^(n)C_(n) respectively . If the mean of this data is (728)/(2^(n)) then n is equal to ________.

The mean of the distribution, in which the values of X are 1, 2, ..,n the frequency of each being unity is :

If a variable takes value 0,1,2,3,..., n with frequencies 1,C_(1),C_(2),......C_(n)

The mean of the values of 1,2,3,...n with respectively frequencies x, 2x, 3x,...,nx is:

NTA MOCK TESTS-NTA JEE MOCK TEST 61-MATHEMATICS
  1. Two ships are sailling in the sea on the two sides of a lighthouse. If...

    Text Solution

    |

  2. If [sin^(-1)x]^(2)-2[sin^(-1)x]+1le0 (where, [.] represents the greate...

    Text Solution

    |

  3. Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2), then...

    Text Solution

    |

  4. If the variate of a distribution takes the values 1^(2), 2^(2), 3^(2),...

    Text Solution

    |

  5. The point of intersection of tangents drawn to the hyperbola (x^2)/(a^...

    Text Solution

    |

  6. The value of the integral int(0)^(pi)(e^(|cosx|)sinx)/(1+e^(cotx))dx i...

    Text Solution

    |

  7. The curve y=f(x) in the first quadrant is such that the y - intercept ...

    Text Solution

    |

  8. The value of the integral I=int(2x^(9)+x^(10))/((x^(2)+x^(3))^(3))dx i...

    Text Solution

    |

  9. If A, B and C are square matrices of same order and I is an identity m...

    Text Solution

    |

  10. The system of equations alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+a...

    Text Solution

    |

  11. If vectors 4vecp+vecq, 2 vecp-3vecq and 5vecp-3vecq, 5vecp+3vecq are a...

    Text Solution

    |

  12. The equation of the plane through the points (2,-1,0), (3,-4,5) parall...

    Text Solution

    |

  13. The line 2x+3y=12 meets the coordinates axes at A and B respectively. ...

    Text Solution

    |

  14. The extremities of a diagonal of a rectangle which are parallel to the...

    Text Solution

    |

  15. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

    Text Solution

    |

  16. The area (in sq. untis) bounded by [x+y]=2 with the co - ordinate axes...

    Text Solution

    |

  17. Out of 1000 boys in a school, 300 played cricket, 380 played hockey an...

    Text Solution

    |

  18. If 4cos36^(@)+cot(7(1^(@))/(2))=sqrt(n(1))+sqrt(n(2))+sqrt(n(3))+sqrt(...

    Text Solution

    |

  19. The number of solution of x^(3)+4x-1=0 in the interval x in(-2,1) is

    Text Solution

    |

  20. For the complex number Z, the sum of all the solutions of Z^(2)+|Z|=(b...

    Text Solution

    |