Home
Class 12
MATHS
If both the mean and the standard deviat...

If both the mean and the standard deviation of 50 observatios `x_(1), x_(2),….x_(50)` are equal to 16, then the mean of `(x_(1)-4)^(2), (x_(2)-4)^(2),….,(x_(50)-4)^(2)` is

A

380

B

525

C

400

D

480

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|9 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

Similar Questions

Explore conceptually related problems

If both the mean and the standard deviation of 50 observations x_(1), x_(2),…, x_(50) are equal to 16, then the mean of (x_(1) -4)^(2), (x_(2) -4)^(2), …., (x_(50) - 4)^(2) is k. The value of (k)/(80) is _______.

If the mean and standard deviation of 10 observations x_(1),x_(2),......,x_(10) are 2 and 3 respectively,then the mean of (x_(1)+1)^(2),(x_(2)+1)^(2),....,(x_(10)+1)^(2) is equal to

If both the standard deviation and mean of data x_(1),x_(2),x_(3),......x_(50) are 16, then the mean of the data set (x_(1)-4)^(2),(x_(2)-4)^(2),(x_(3)-4)^(2),...(x_(50)-4)^(2) is

If the mean of a set of observations x_(1), x_(2),……,x_(10) is 40, then the mean of x_(1)+4, x_(2)+8, x_(3)+12,…….,x_(10)+40 is

If the mean and standard deviation of 5 observations x_(1),x_(2),x_(3),x_(4),x_(5) are 10 and 3 respectively,then the variance of 6 observations x_(1),x_(2),x_(3),x_(4),x_(5) and 50 is equal to

Mean deviation for n observation x_(1),x_(2),…..x_(n) from their mean bar x is given by

If the mean of a set of observations x_(1),x_(2),..........,x_(10) is 20, then the mean of x_(1)+4,x_(2)+8,x_(3)+12,......,x_(10)+40

The mean and standard deviation of five observations x_(1),x_(2),x_(3),x_(4),x_(5) and are 10 and 3 respectively,then variance of the observation x_(1),x_(2),x_(3),x_(4),x_(5),-50 is equal to (a) 437.5 (b) 507.5 (c) 537.5 (d) 487.5

The mean and standard deviation of 10 observations x_(1), x_(2), x_(3)…….x_(10) are barx and sigma respectively. Let 10 is added to x_(1),x_(2)…..x_(9) and 90 is substracted from x_(10) . If still, the standard deviation is the same, then x_(10)-barx is equal to

MCGROW HILL PUBLICATION-STATISTICS -QUESTION FROM PREVIOUS YEARS. AIEE/ JEE MAIN PAPERS
  1. The mean age of 25 teanchers of a school is 40 years. A teacher retire...

    Text Solution

    |

  2. The sum of 100 observations and sum of their squares are 400 and 2,475...

    Text Solution

    |

  3. If sum(i=1)^9 (xi-5)=9 and sum(i=1)^9 (xi-5)^2=45 then the standard d...

    Text Solution

    |

  4. The mean of a set of 30 observations is 75. If each observations is mu...

    Text Solution

    |

  5. If the mean of the data 7,8,9,7,lambda , 8, is 8 then variance of t...

    Text Solution

    |

  6. The mean and standard deviations (s.d.) of five observations are 9 an...

    Text Solution

    |

  7. Average height & variance of 5 students in a class is 150 and 18 respe...

    Text Solution

    |

  8. A data consists of n observations: x1,x2,…….xn ,"If" underset( i=1) o...

    Text Solution

    |

  9. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |

  10. If mean and standard deviation of 5 observations x1,x2,x3,x4 are 10 an...

    Text Solution

    |

  11. The outcome of each of 30 items was observed , 10 items gave an outcom...

    Text Solution

    |

  12. If the sum of the deviations of 50 observations from 30 is 50, then th...

    Text Solution

    |

  13. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  14. The mean and variance of 7 observations are 8 and 16, respectively....

    Text Solution

    |

  15. A student scores the following marks in five tests 45, 54, 41, 57, 43....

    Text Solution

    |

  16. If the standard deviation of the numbers -1, 0,1,k is sqrt(5) where ...

    Text Solution

    |

  17. The mean and the median of the following ten numbers in increasing ord...

    Text Solution

    |

  18. If for somes x in R the frequency distribution of marks obtained by ...

    Text Solution

    |

  19. If both the mean and the standard deviation of 50 observatios x(1), x(...

    Text Solution

    |

  20. If the data x1,x2,….x10 is such that the mean of four of these is 11,...

    Text Solution

    |