Home
Class 12
MATHS
Calculate the mean, variance and standar...

Calculate the mean, variance and standard devation for the following data :

Text Solution

Verified by Experts


`therefore` Mean =`barx=(Sigma f_ix_i)/(Sigma f_i)=3100/50=62`
Variance =`sigma^2=1/N Sigma f_i(x_i-barx)^2=1/50xx10050=201`
`therefore` Standard deviation = `sigma =sqrt201`=14.18
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 mean , mean deviation about the mean , variance and standard deviation for the following data

Find the variance and standard deviation for the following data:

Find the mean , mean deviation about the mean , variance and standard deviation for the following data 4,15,14,12,6,8,11

Find the mean, variance and the standard deviation for the following data : 5,9,8,12,6,10,6,8

Calculate variance and standard deviation of the following data : 10 , 12 , 8 , 14 , 16 .

Calculate variance and standard deviation for the following distribution.

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

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

Find the mean variance and standard deviation for the following data: 227,235,255,269,292,299,312,333,348

AAKASH INSTITUTE-STATISTICS-Section-C Assertion-Reason
  1. Calculate the mean, variance and standard devation for the following d...

    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

    |