Home
Class 12
MATHS
The mean and standard deviation of six o...

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations

Text Solution

Verified by Experts

The correct Answer is:
`=144`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise EXSERCISE|34 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos
  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

Similar Questions

Explore conceptually related problems

The standard deviation of 20 observations is sqrt(5) . If each observation is multiplied by 2 , find the standard deviation and variance of the resulting observations.

The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.

Find the mean and standard deviation for the following data.

The variance of 20 observations is 5 . If eech observation is multiplied by 2 then the new variance of the resulting observations, is:

If the mean and standard deviation of a data are 8 and 2 respectively then the co-efficient of variation is ___.

Find the mean , variance and standard deviation for the frequency distribution.

The mean and variance of 7 observations are 8 and 16 respectively . If five of the observations are 2,4,10,12,14, find the remaining two observations.

The mean and variance of eight observations are 9 and 9.25 , respectively . If six of the observations are 6,7,10,12,12 and 13, find the remaining two observations.

Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is .............

If the standard deviation of a data is 3.6 and each value of the data is divided by 3, then find the new variance and new standard deviation.

NEW JOYTHI PUBLICATION-STATISTICS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The mean and standard deviation of six observations are 8 and 4, respe...

    Text Solution

    |

  2. The mean mark in Statistics of 100 students in a class was 72 .The mea...

    Text Solution

    |

  3. If the mean of numbers 27+x,156+x " is "82, then the mean of 130 +x,1...

    Text Solution

    |

  4. If mu us the mean of distribution {y(1),f(1)}, then sumf(1)(i(1)-mu) ...

    Text Solution

    |

  5. A batsman score runs in 10 innings 38,70,48,34,42,55,63,46,54 and 44. ...

    Text Solution

    |

  6. The average weight of students in a class of 35 students is 40 kgs . I...

    Text Solution

    |

  7. Standard deviation of the first 2n+1 natural numbers is equal to

    Text Solution

    |

  8. Mean marks scored by the students of a class is 53. The mean mark of t...

    Text Solution

    |

  9. The average monthly salary of workers in a factory is Rs.206 . If the ...

    Text Solution

    |

  10. For the arithmetic progression a,(a+d),(a+2d),(a+3d),......,(a+2nd), t...

    Text Solution

    |

  11. The standard deviation of n obervations x(1),x(2).....,x(n) is 2. If s...

    Text Solution

    |

  12. The standard deviation of the numbers 31,32,33, ……., 46,47 is

    Text Solution

    |

  13. The standard deviation for the scores 1,2,3,4,5,6, and 77 is 2. Then ...

    Text Solution

    |

  14. If the variance of 1,2,3,4,5 , …., 10 is (99)/(12), then the standard ...

    Text Solution

    |

  15. If ""^(n)C(8)=""^(n)C(2), find ""^(n)C(2).

    Text Solution

    |

  16. The arithmetic mean of 7 consecutive integers starting with 'a' is m. ...

    Text Solution

    |

  17. The mean and variance of n observations x(1),x(2),x(3),...x(n) are 5 a...

    Text Solution

    |

  18. If the standard deviation of 3,8,6,10,12,9,11,10,12,7 is 2.71 , then t...

    Text Solution

    |

  19. The A.M of 9 terms is 15. If one more term is added to this series , ...

    Text Solution

    |

  20. If the average of the numbers 1,2,3,…., 98,99,x is 100x, then the valu...

    Text Solution

    |

  21. If the median of (x)/(5),x,(x)/(4),(x)/(2),(x)/(3)(xgt0) is 8, then t...

    Text Solution

    |