Home
Class 11
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))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 Videos
  • THE CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|145 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

RD SHARMA ENGLISH-STATISTICS-All Questions
  1. The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean i...

    Text Solution

    |

  2. A batsman scores run in 10 innings as 38,70,48,34,42,55,63,46,54 and ...

    Text Solution

    |

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

    Text Solution

    |

  4. The following the record of goals scored by team a in football sess...

    Text Solution

    |

  5. An analysis of monthly wages paid to the works of two firms A and B ...

    Text Solution

    |

  6. Let x1, x2, ...... ,xn be values taken by a variable X a n d y1, y2,.....

    Text Solution

    |

  7. The algebraic sum of deviations of 10 observations measured from 16 is...

    Text Solution

    |

  8. Calculate the mean deviation about median from the following data: 340...

    Text Solution

    |

  9. For a group of 200 candidates the mean and S.D. were found to be 40 an...

    Text Solution

    |

  10. Find the mean deviation from the mean for the data: 6,7,10,12,13,4,8,2...

    Text Solution

    |

  11. The scores of a batsman in ten innings are : 38,70,48,34,42,55,63,46,5...

    Text Solution

    |

  12. Calculate the mean deviation about the mean of the set of first n natu...

    Text Solution

    |

  13. Calculate the mean deviation about the mean of the set of first n natu...

    Text Solution

    |

  14. Find the variance and standard deviation of the following data 5,12,3,...

    Text Solution

    |

  15. Compute the variance and standard deviation of the following observa...

    Text Solution

    |

  16. The number of telephone calls received at an exchange in 245 successiv...

    Text Solution

    |

  17. Calculate mean deviation from the median for the following distribu...

    Text Solution

    |

  18. The mean deviation for n observations x1, x2, ......... , xn from th...

    Text Solution

    |

  19. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

    Text Solution

    |

  20. The scores of a batsman in 10 matches were as follows: 38,70,48,34,...

    Text Solution

    |