Home
Class 12
MATHS
For two data sets, each of size 5, the v...

For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is (1) `(11)/2` (2) 2 (3) `(13)/2` (4) `5/2`

A

`6`

B

` 13//2`

C

` 5//2`

D

` 11//2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (LEVEL-2 (SINGEL CORRECT ANSWER TYPE QUESTIONS ))|6 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|8 Videos
  • STATISTICS

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

For two data sets, each with size 5, the variances are given to be 3 and 4 and the corresponding means are given 2 and 4, respectively. The variance of the combined data set is

Two data sets each of size 10 has the variance as 4 and k and the corresponding means as 2 and 4 respectively. If the variance of the combined data set is 5.5, then the value of k is equal to

The variance sigma^(2) of the data

Variance of the data 2,4,6,8,10 is

Variance of the data 2,4,6,8,10 is

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then, the probability of 2 successes is

If 2 data sets having 10 and 20 observation have coefficients of variation 50 and 60 respectively and arithmetic means 30 and 25 respectively, then the combined variance of those 30 observation is

The mean and the variance of a binomial distribution are 4 and 2 respectively.then, the probabitly of 2 , successes is

Mean and variance of a binomial distribution are 4 and 2 respectively . Then probability of 3 successes is

MCGROW HILL PUBLICATION-STATISTICS -EXAMPLES (LEVEL-1 (SINGEL CORRECT ANSWER TYPE QUESTIONS ))
  1. Let G1, G2 be the geometric means of two series x1, x2, ..., xn; y1, y...

    Text Solution

    |

  2. The monthly sales for the first 11 months of the year of a certain sal...

    Text Solution

    |

  3. The A.M of the observations 1.3.5,3.5.7,5.7.9,...,(2n-1)(2n+1)(2n+3) i...

    Text Solution

    |

  4. If x(1), x(2),"…......." x(18) are observation such that sum(j=1)^(18)...

    Text Solution

    |

  5. A variable takes the values of 0,1,2,.....,n with frequencies proporti...

    Text Solution

    |

  6. The mean of two samples of sizes 200 and 300 were found to be 25, 10 r...

    Text Solution

    |

  7. The variance of first 20- natural numbers is

    Text Solution

    |

  8. If the standard deviation of x1, x2,……xn is 3.5, then the standard de...

    Text Solution

    |

  9. The geometric mean of 3,3^2,....,3^n is

    Text Solution

    |

  10. If the median of 21 observations is 40 and if the observations greater...

    Text Solution

    |

  11. The median from the following data

    Text Solution

    |

  12. If the standard deviation of numbers 2,4 5 and 6 is a constant alpha ...

    Text Solution

    |

  13. The variance of alpha,beta and gamma is 9, then variance of 5 alpha, 5...

    Text Solution

    |

  14. 1,2,4,6,8,9 transformed into another series whose mean is 12. Two midd...

    Text Solution

    |

  15. A variable takes the values of 0,1,2,.....,n with frequencies proporti...

    Text Solution

    |

  16. If the mean deviation of the numbers 1,""1""+""d ,""1""+""2d ,""..."",...

    Text Solution

    |

  17. For two data sets, each of size 5, the variances are given to be 4 and...

    Text Solution

    |

  18. If the mean deviation about the median of the numbers a, 2a, ....., ...

    Text Solution

    |

  19. A scientist is weighing each of 30 fishes. Their mean weight worked ou...

    Text Solution

    |