Home
Class 12
MATHS
Find the mean, variance and standard dev...

Find the mean, variance and standard deviation using short-cut method.

Text Solution

Verified by Experts


`therefore ` mean `=A+h(Sigmaf_iy_i)/(Sigmaf_i)=92.5+5xx6/60=93`
`therefore` Standard deviation
`sigma_x=h/Nsqrt(NSigmaf_iy_i^2-(Sigmaf_iy_i)^2)`
`=5/60sqrt(60xx254-6^2) =1/12sqrt(15240-36)`
`=sqrt(15204)/12=123.30/12=10.3`
`therefore` Variance =`(S.D.)^2=(10.3)^2`=105.83
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

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

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

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos
  • STRAIGHT LINES

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

Similar Questions

Explore conceptually related problems

Find the mean and standard deviation using short cut method

Find the mean, variance and standard deviation of the number of heads in a simultaneous toss of three coins.

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

Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the mean, variance and standard deviation of the number of kings.

Find the mean, variance and standard deviation for the following data: 227,235,255,269,292,299,312,321,333,348

Find the mean deviation by short cut method.

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

Find the variance and standard deviation of the following data:

Find the mean variance and standard deviation of the following probability distribution x_i : a\ \ b p_i : p\ q Where p+q=1.

Find the mean , mean deviation about the mean , variance and standard deviation for the following data

AAKASH INSTITUTE ENGLISH-STATISTICS-Section-C Assertion-Reason
  1. Find the mean, variance and standard deviation using short-cut method.

    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. Find the correct Statement :Statement-1 : The S.D. of 5 scores 1 2 3 ...

    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 t...

    Text Solution

    |