Home
Class 11
MATHS
Let x1, x2, ... ,xn be n observations an...

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`

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

Let x_(1),x_(2),……,x_(n) be n observations and barx be their arithmetic mean. The formula for the standard deviation is

If x_(1),x_(2)……..x_(n) be n observation and barx be their arithmetic mean .Then formula of the standard deviation is given by

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

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

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)

Show that the two formulae for the standard deviation of ungrouped data: sigma=sqrt(1/nsum(x_i- barX )^2) a n d\ sigma^(prime)=sqrt(1/nsumx_i^2- barX ^2) are equivalent where barX =1/nsumx_i .

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

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 n= 10, sum_(i=1)^(10) x_(i) = 60 and sum_(i=1)^(10) x_(i)^(2) = 1000 then find s.d.

RD SHARMA ENGLISH-STATISTICS-All Questions
  1. The standard deviation of first 10 natural numbers is (a) 8.25        ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the mean of first n terms of an A.P. whose first term is a and ...

    Text Solution

    |

  13. Find the variance and standard deviation of the following frequency ...

    Text Solution

    |

  14. Calculate the mean deviation from the median of the following data: Wa...

    Text Solution

    |

  15. Find the mean deviation from the mean of the following data: Classes:,...

    Text Solution

    |

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

    Text Solution

    |

  17. The age distribution of 100 life-insurance policy holders is as follow...

    Text Solution

    |

  18. Find the mean deviation from the mean for the following data: Size:, 2...

    Text Solution

    |

  19. Find the mean deviation from the mean for the following data: Size:...

    Text Solution

    |

  20. Find the mean deviation from the median for the following data: Size:,...

    Text Solution

    |