Home
Class 12
MATHS
The mean of two samples of sizes 200 and...

The mean of two samples of sizes `200 and 300` were found to be `25, 10` respectively. Their standard deviations were `3 and 4` respectively.The variance of combined sample of size `500` is

A

64

B

`65: 2`

C

` 67.2`

D

`64.2`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The means of two samples of size 40 and 50 were found to be 54 and 63 respectively. Their standard deviations were 6 and 9 respectively. The variance of the combined sample of size 90 is

Two sample of size 100 and 150 respectively have means 15 and 16 and standard deviations 3 and 4 respectively. Find the combined mean and standard deviation of Size 250.

The mean and standard deviation for a,b and 2 are 3 and 1 respectively,then value of ab is

Two sample of size 100 and 150 respectively have means 50 and 60 deviation of the combined sample of size 250.

Two samples from bivariate populations have 15 observations each. The sample means of X and Y are 25 and 18 respectively. The corresponding sum of squares of deviations from means are 136 and 148 respectively. The sum of product of deviations from respective means is 122.Obtain the regression equation of x on y.

The coefficient of variation of two series are 70 and 90 and their standard deviation are 17.5 and 18 respectively.The mean of two series are

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

    |