Home
Class 9
MATHS
If the ratio of mode and median of a ...

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

A

8 : 9

B

9 : 10

C

9 : 7

D

8 : 11

Text Solution

Verified by Experts

The correct Answer is:
B

(i) Mode = 3 Median - 2 Mean.
(ii) Divide the above equation by median.
(iii) Substitute, `("Mode")/("Median") = (6)/(5)` and obtain the required ratio.
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 ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

If the ratio of mean and median of a certain data is 5 : 7, then find the ratio of its mode and mean.

The ratio of the mode and the median of a set of values is 15:11. Find the ratio of their mean and mode.

If the difference of mode and median of a data is 24, then find the difference of medina and mean.

If the difference of mode and median of a data is 24, then the difference of median and mean is (a) 12 (b) 24 (c) 8 (d) 36

Find the mean, mode and median of the following data:

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

    |