Home
Class 12
MATHS
The mean deviation of the series a , a+d...

The mean deviation of the series `a , a+d , a+2d ,.....,a+2n` from its mean is (a)`((n+1)d)/(2n+1)` (b) `(n d)/(2n+1)` (c) `(n(n+1)d)/(2n+1)` (d) `((2n+1)d)/(n(n+1))`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The mean deviation of the series a , a+d , a+2d , , a+2n from its mean is ((n+1)d)/(2n+1) (b) (n d)/(2n+1) (c) (n(n+1)d)/(2n+1) (d) ((2n+1)d)/(n(n+1))

(d^n)/(dx^n)(logx)=? (a) ((n-1)!)/(x^n) (b) (n !)/(x^n) (c) ((n-2)!)/(x^n) (d) (-1)^(n-1)((n-1)!)/(x^n)

(d^n)/(dx^n)(logx)= ((n-1)!)/(x^n) (b) (n !)/(x^n) ((n-2)!)/(x^n) (d) (-1)^(n-1)((n-1)!)/(x^n)

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

The algebraic sum of the deviations of a set of n values from their mean is (a) 0 (b) n-1 (c) n (d) n+1

If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is equal to (a) ((n+1)^2)/(2n) (b) ((n+1)^2)/n (c) ((n+1)^2)/2 (d) ((n+1)^2)/(4n)

The standard deviation of the data: x : , 1, a , a^2 , ..., a^n f: , ^n C_0 , ^n C_1 , ^n C_2 , ..., ^n C_n is ((1+a^2)/2)^n-((1+a)/2)^(2n) (b) ((1+a^2)/2)^(2n)-((1+a^2)/2)^(2n) (c) ((1+a)/2)^(2n)-((1+a^2)/2)^n (d) none of these

The mean of n observations is X . If the first item is increased by 1, second by 2 and so on, then the new mean is (a) X +n (b) X +n/2 (c) X +(n+1)/2 (d) None of these

The mean of first n odd natural number is (a) (n+1)/2 (b) n/2 (c) n (d) n^2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. int(1)^(e^(37))(pisin(pilogx))/(x)dx equals to.

    Text Solution

    |

  2. From the point (lambda,3) tangents are drawn to x^(2)/9+y^(2)/4=1 and ...

    Text Solution

    |

  3. The mean deviation of the series a , a+d , a+2d ,.....,a+2n from its m...

    Text Solution

    |

  4. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

    Text Solution

    |

  5. A class has tree teachers, Mr. X, Ms.Y and Mrs.Z and six students A, ...

    Text Solution

    |

  6. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  7. If x+iy=(3)/(2+costheta+isintheta), prove that : " "(x-1)(x-3)+...

    Text Solution

    |

  8. Which one of the following triplets CANNOT be the angles made by a ...

    Text Solution

    |

  9. If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3+3|=12 , then find the v...

    Text Solution

    |

  10. The total number of divisors of the number N=2^(5).3^(4).5^(10).7^(6) ...

    Text Solution

    |

  11. Find the equation of the plane passing through (3,4,-1), which is p...

    Text Solution

    |

  12. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  13. The probability that a leap year will have 53 Fridays or 3 Saturday...

    Text Solution

    |

  14. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

    Text Solution

    |

  15. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-z1...

    Text Solution

    |

  16. If 10 objects are distributed at random among 10 persons, then find...

    Text Solution

    |

  17. Let vec a=2i+j-2ka n d vec b=i+jdot If vec c is a vector such that ...

    Text Solution

    |

  18. In a triangle A B C ,a : b : c=4:5: 6. Then 3A+B equals to: 4C b. 2pi ...

    Text Solution

    |

  19. The area of the closed figure bounded by y=x , y=-x , y=-x and the tan...

    Text Solution

    |

  20. Sania Mirza is to play with Sharapova in a three set match. For a part...

    Text Solution

    |