Home
Class 9
MATHS
If the arithmetic mean of the following ...

If the arithmetic mean of the following distribution is 8.2, then a =
`{:(x_(i) " :",1,3,5,9,11,13),(f_(i)" :",3,2,7,a,4,8):}`

A

`5`

B

`6`

C

`9`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
(i) `(sum fx)/(N) = 8.2`.
(ii) Find `sum fx "and" sum f`.
(iii) Mean `= (sum fx)/(sum f)`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-3|19 Videos

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-1|30 Videos

  • SIMPLE INTEREST AND COMPOUND INTEREST

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION|1 Videos

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

Similar Questions

Explore conceptually related problems

If the mean of the following frequency distribution is 5, then b = {:(x_(i) " :",3,5,7,4),(f_(i)" :",2,a,5,b):}

If the mean of the following distribution is 13, then p = {:(x_(i) :,5,10,12,17,16,20),(f_(i) :,9,3,P,8,7,5):}

If the arithmetic mean of the following data is 7, then a + b = {:(x_(i), 4,6,7,9),(f_(i)"",a,4,b,5):}

The median for the following frequency distribution is : {:(x_(i) " :",1,2,3,4,5,6,7,8,9),(f_(i)" :",8,10,11,16,20,25,15,9,6):}

Calculate the mean for the following distribution: 5 6 7 8 9 4 8 14 11 3

If the mean of the following data is 5.5, then x = {:(x_(i),2,4,6,8),(f_(i)"",3,5,6,x):}

Find the mean of the following distribution: x: 4 6 9 10 15 f: 5 10 10 7 8

Find the value of if the mean of the following distribution is 7.5. 3 5 7 9 11 13 6 8 15 8 4

The mode of the following discrete series is: {:(x_(i), 1,3,5,6,12,15),(f_(i)"",5,7,3,8,6,5):}

Calculate the mean for the following distribution: x : 5 6 7 8 9 f : 4 8 14 11 3

PEARSON IIT JEE FOUNDATION-STATISTICS-LEVEL-2
  1. If the ratio of mean and median of a certain data is 2:3, then find...

    Text Solution

    |

  2. If the mean of the following distribution is 13, then p = {:(x(i) :...

    Text Solution

    |

  3. If the ratio of mode and median of a certain data is 6:5, then find...

    Text Solution

    |

  4. If the arithmetic mean of the following distribution is 8.2, then a = ...

    Text Solution

    |

  5. The median of the series 8,12,15,7,x,19,22 lies in the interval

    Text Solution

    |

  6. The mode of the following distribution is {("Class interval",f),(" ...

    Text Solution

    |

  7. The mean of the following data is {("Class interval",f),(" "10-15,5)...

    Text Solution

    |

  8. The median of the following frequency distribution is {:("Class inte...

    Text Solution

    |

  9. Find the quartile deviation of the following discrete series. {:(x,7...

    Text Solution

    |

  10. Find the number of students who scored less than or equal to 50% if ma...

    Text Solution

    |

  11. Find the number of students who scored greater than or equal to 90% of...

    Text Solution

    |

  12. In a class of 15 students, on an average, each student got 12 books. I...

    Text Solution

    |

  13. Find the quartile deviation of the following discrete series. {:(x,...

    Text Solution

    |

  14. {:("Weight(in kg)","Number of students"),(" "20," "8),("...

    Text Solution

    |

  15. Find the mean deviation (approximately) about the mean for the followi...

    Text Solution

    |

  16. If the average mark of 15 students is 60 and the average mark of anoth...

    Text Solution

    |

  17. In a class of 25 boys and 20 girls, the mean weight of the boys is 40 ...

    Text Solution

    |

  18. If p lt q lt 2p, the median and mean of p, q and 2p are 36 and 31 resp...

    Text Solution

    |

  19. If x lt y lt 2x, the median and the mean of x, y and 2x are 27 and 33 ...

    Text Solution

    |

  20. The mean of a set of 12 observations is 10 and another set of 8 observ...

    Text Solution

    |