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

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

A

`(5)/(2)`

B

`(11)/(2)`

C

6

D

`(13)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise EXSERCISE|34 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

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

If each observation of a new data where variance is sigma^(2) increased by lambda , then the variance of the new data is

If the range and the smallest value of a set of data are 36.5 and 13.4 respectively, then find the largest value.

If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value.

If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value.

The standard deviation and mean of a data are 6.5 and 12.5 respectively. Find the coefficient of variation.

The outcome of each of 30 items was observed , 10 items gave an outcome (1)/(2)-d each, 10 items gave outcome (1)/(2) each and the remaining 10 items gave outcome (1)/(2) +d each. If the variance of this outcome data is (4)/(3) , then |d| equals

If each observation of a raw data whose variance sigma^(2) is multiplied by lambda , then the variance of the new set is

The mean and variance of a binomial variate x are respectively 2 and 1.5 then P(X=0) is

NEW JOYTHI PUBLICATION-STATISTICS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The mean of five numbers is 0 and their variance is 2. If three of tho...

    Text Solution

    |

  2. A batsman in his 16^(th) innings makes a score of 70 runs and thereby ...

    Text Solution

    |

  3. If the variance of 1,2,3,4,5,….., x is 10, then the value of x is

    Text Solution

    |

  4. Mean of 10 observations is 50 and their standard deviation is 10 If e...

    Text Solution

    |

  5. If sum(i=1)^(9)(x(i)-5)=9andsum(i=1)^(9)(x(i)-5)^(2)=45, then the sta...

    Text Solution

    |

  6. The standard deviation of 9,16,23,30,37,44,51 is

    Text Solution

    |

  7. In a class of 100 students there are 70 boys whose average marks in a ...

    Text Solution

    |

  8. In an experiment with 15 observation on x, the following results were...

    Text Solution

    |

  9. The median of a set of a set of 9 distinct observations is 20.5 . If e...

    Text Solution

    |

  10. Consider the following statements. (i) Mode can be computed from hi...

    Text Solution

    |

  11. In a series of 2n observations , half of them equal a and remaining ha...

    Text Solution

    |

  12. In a frequency distribution , the mean and median are 21 and 22 respec...

    Text Solution

    |

  13. Let x(1),x(2),…..x(n) be n observations such that sumx(i)^(2)=400andsu...

    Text Solution

    |

  14. Suppose a population A has 100 observations 101,102,….,200, and anothe...

    Text Solution

    |

  15. The average marks of boys in a class is 52 and that of girls is 42. .T...

    Text Solution

    |

  16. The mean of the numbers a,b,8,5,10 is 6 and the variance is 6.80 .Then...

    Text Solution

    |

  17. If the mean deviation of number 1,1+d, 1+2d,…., 1+100d from their mean...

    Text Solution

    |

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

    Text Solution

    |

  19. If the mean deviation about the median of the numbers a, 2a,……., 50a i...

    Text Solution

    |

  20. Let x(1),x(2),…..x(n) be n observations such that sumx(i)^(2)=400andsu...

    Text Solution

    |