Home
Class 12
MATHS
Find the variance and standard deviation...

Find the variance and standard deviation of the following data : 4,6,10,12,14,18,20

Text Solution

Verified by Experts


`because` Mean `barx=a+(Sigmad_i)/nxxh=12+0/7xx2`, where a =assumed mean
`therefore` Variance `sigma^2 =1/n Sigma(x_i-barx)^2=208/7=29.7`
and standard deviation =`sqrt29.7`=5.45
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-A Competition Level|10 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-B Linked Comprehension|5 Videos
  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

Similar Questions

Explore conceptually related problems

Find the variance and standard deviation for the following data:

Find the mean variance and standard deviation for the following data: 6,7,10,12,13,4,8,12

Find out standard deviation of the following data:

Find the variance and standard deviation for the following data, 6, 7, 10, 12, 13, 4, 8, 12.

Find the standard deviation for the following data

Find the standard deviation for the following data

Find the mean variance and standard deviation for the following data: 2,4,5,6,8,17

Find the standard deviation for the following data:

AAKASH INSTITUTE-STATISTICS-Section-C Assertion-Reason
  1. Find the variance and standard deviation of the following data : 4,6,1...

    Text Solution

    |

  2. Statement-1 :The A.M. of series 1,2,4,8,16,…… 2^n is (2^(n+1)-1)/(n+1)...

    Text Solution

    |

  3. Statement-1 :{:(x:,5,6,7,8,9),(y:,4,6,12,-,8):} for given data mean o...

    Text Solution

    |

  4. Statement-1 :The mode of the items given as 0,1,6,7,2,3,7,6,6,2,6,0,5,...

    Text Solution

    |

  5. Statement-1 : The mean of the series x1, x2,….. xn is x. If x2 is repl...

    Text Solution

    |

  6. Statement-1 : If the mode of the data is 18 and the mean is 24, then m...

    Text Solution

    |

  7. Statement-1 : The median of a set of 9 distinct observations is 20.5. ...

    Text Solution

    |

  8. Statement-1 : The mean deviation of the numbers 3,4,5,6,7 is 1.2 Sta...

    Text Solution

    |

  9. Statement-1 : If a1,a2,a3,….. an are positive real numbers , whose pro...

    Text Solution

    |

  10. Statement-1 :If a le xi le b where xi denotes the value of x in the i^...

    Text Solution

    |

  11. Statement-1 : The S.D. of 5 scores 1 2 3 4 5 is sqrt2. Statement-2 ...

    Text Solution

    |

  12. Statement-1 :Variance of first n natural number is (n^2-1)/12. Sta...

    Text Solution

    |

  13. Statement-1 : The variance of the variates 112, 116, 120,125,132 about...

    Text Solution

    |

  14. Statement-1 : if the S.D. of a variable x is 6, then the S.D. of ax +b...

    Text Solution

    |

  15. Statement-1 :The weighted mean of first n natural numbers whose weight...

    Text Solution

    |

  16. Statement-1 :if each of n numbers xi=i is replaced by (i+1) xi , then ...

    Text Solution

    |