Home
Class 11
MATHS
The mean deviation for n observations x1...

The mean deviation for `n` observations `x_1, x_2, ......... , x_n` from their mean ` X ` is given by (a)`sum_(i=1)^n(x_i- X )` (b) `1/nsum_(i=1)^n|x_i- X |` (c) `sum_(i=1)^n(x_i- X )^2` (d) `1/nsum_(i=1)^n(x_i- X )^2`

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 for n observations x_1, x_2, ......... , x_n from their mean X is given by (a) sum_(i=1)^n(x_i- X ) (b) 1/nsum_(i=1)^n(x_i- X ) (c) sum_(i=1)^n(x_i- X )^2 (d) 1/nsum_(i=1)^n(x_i- X )^2

Mean deviation for n observation x_(1),x_(2),…..x_(n) from their mean bar x is given by

The mean deviation for n observations x_(1),x_(2)…….x_(n) from their median M is given by (i) sum_(i=1)^(n)(x_(i)-M) (ii) (1)/(n)sum_(i=1)^(n)|x_(i)-M| (iii) (1)/(n)sum_(i=1)^(n)(x_(i)-M)^(2) (iv) (1)/(n)sum_(i=1)^(n)(x_(i)-M)

Let x_1, x_2, ... ,x_n be n observations and barX be their arithmetic mean. The standard deviation is given by (a) sum_(i=1)^n(x_i- barX )^2 (b) 1/nsum_(i=1)^n(x_i- barX )^2 (c) sqrt(1/nsum_(i=1)^n(x_i- X )^2) (c) 1/nsum_(i=1)^n x_i^2- barX ^2

The standard deviation of n observations x_(1), x_(2), x_(3),…x_(n) is 2. If sum_(i=1)^(n) x_(i)^(2) = 100 and sum_(i=1)^(n) x_(i) = 20 show the values of n are 5 or 20

The mean of a discrete frequency distribution x_i//f_i ; i=1,\ 2,\ ddot,\ n is given by (a) (sumf_i x_i)/(sumf_i) (b) 1/n\ sum_(i=1)^nf_i x_i (c) (sumi=1nf_i x_i)/(sumi=1n x_i) (d) (sumi=1nf_i x_i)/(sumi=1n i)

If barx represents the mean of n observations x_(1), x_(2),………., x_(n) , then values of Sigma_(i=1)^(n) (x_(i)-barx)

If the mean of n observations x_1,x_2,x_3...x_n is barx then the sum of deviations of observations from mean is

If barx is the mean of n observations x_(1),x_(2),x_(3)……x_(n) , then the value of sum_(i=1)^(n)(x_(i)-barx) is (i) -1 (ii) 0 (iii) 1 (iv) n-1

If b_i=1-a_i ,n a=sum_(i=1)^n a_i ,n b=sum_(i=1)^n b_i ,t h e nsum_(i=1)^n a_i ,b_i+sum_(i=1)^n(a_i-a)^2= a b b. n a b c. (n+1)a b d. n a b

RD SHARMA ENGLISH-STATISTICS-All Questions
  1. Let a, b, c, d, e, be the observations with m and standard deviation s...

    Text Solution

    |

  2. If n=10 , X =12a n d∑x ^2 =1530 , then the coefficient of variation...

    Text Solution

    |

  3. The mean deviation for n observations x1, x2, ......... , xn from thei...

    Text Solution

    |

  4. The standard deviation of the observations 6,5,9,13,12,8,10 is (a)6 (...

    Text Solution

    |

  5. If the standard deviation of a variable X \ is \ sigma , then standard...

    Text Solution

    |

  6. Following are the marks obtained, out of 100, by two students Ravi and...

    Text Solution

    |

  7. Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each num...

    Text Solution

    |

  8. The mean of 100 numbers observations is 50 and their standards devi...

    Text Solution

    |

  9. The following is ht record of goals scored by team A in a football ...

    Text Solution

    |

  10. The standard deviation of first 10 natural numbers is (a) 8.25        ...

    Text Solution

    |

  11. Let x1, x2, ,xn be xn observations. Let yi=a xi+b for i=1,2,...,n wher...

    Text Solution

    |

  12. Let x1, x2, ... ,xn be n observations and barX be their arithmetic me...

    Text Solution

    |

  13. The following are some particulars of the distribution of weights of ...

    Text Solution

    |

  14. The mean deviation of the data 3,10,10,4,7,10,5 from the mean is (a) 2...

    Text Solution

    |

  15. There are 60 students in a class. The following is the frequency dis...

    Text Solution

    |

  16. Find the mean deviation about median for the following data : Marks   ...

    Text Solution

    |

  17. The following table gives the number of finished articles turned out ...

    Text Solution

    |

  18. If a is positive integer and the frequency distribution: x : , A, 2a, ...

    Text Solution

    |

  19. Calculate the mean deviation about median age for the age distribut...

    Text Solution

    |

  20. Calculate mean deviation from the median of the following data: Cla...

    Text Solution

    |