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.

Text Solution

Verified by Experts

Given:
Let the mode of the data is `6x `
Median of the data is `5x`
. We know that, Mode `= 3 Median - 2 Mean`
=>`6x=3xx(5x)-2(mean)`
=>`6x=15x-2(mean)`
=>`2(mean)=15x-6x`
...
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    RD SHARMA|Exercise All Questions|186 Videos
  • NUMBER SYSTEM

    RD SHARMA|Exercise All Questions|130 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:

RD SHARMA-MEASURES OF CENTRAL TENDENCY-All Questions
  1. The demand of different shirt sizes, as obtained by a survey, is gi...

    Text Solution

    |

  2. If the ratio of mean and median of a certain data is 2:3, then find...

    Text Solution

    |

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

    Text Solution

    |

  4. If the mean of x+2,\ 2x+3,\ 3x+4,\ 4x+5\ i s\ x+2, find x

    Text Solution

    |

  5. The arithmetic mean and mode of a data are 24 and 12 respectively, ...

    Text Solution

    |

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

    Text Solution

    |

  7. If the median of scores x/2, x/3, x/4, x/5a n d x/6(w h e r e\ x >0)...

    Text Solution

    |

  8. If the mode of scores 3,\ 4,\ 3,\ 5,\ 4,\ 6,\ 6,\ x\ \ i s\ 4 , fin...

    Text Solution

    |

  9. If the median of 33 ,\ 28 ,\ 20 ,\ 25 ,\ 34 ,\ x\ i s\ 29 , find th...

    Text Solution

    |

  10. If the median of the scores 1,\ 2,\ x ,\ 4,\ 5\ (w h e r e\ 1<2<x<4<...

    Text Solution

    |

  11. Which one of the following is not a measure of central value: Mean ...

    Text Solution

    |

  12. The mean of n observations is xdot If k is added to each observa...

    Text Solution

    |

  13. The mean of n observations is X dot If each observation is ...

    Text Solution

    |

  14. The mean of a set of seven numbers is 81. If one of the numbers is d...

    Text Solution

    |

  15. For which set of numbers do the mean, median and mode all have the ...

    Text Solution

    |

  16. For the set of numbers 2, 2, 4, 5 and 12, which of the following st...

    Text Solution

    |

  17. If the arithmetic mean of 7,\ 5,\ 13 ,\ x\ a n d\ 9\ i s\ 10 , then...

    Text Solution

    |

  18. If the mean of five observations x ,\ x+2,\ x+4,\ x+6,\ x+8\ i s\ 1...

    Text Solution

    |

  19. Mode is least frequent value           (b) middle most value mos...

    Text Solution

    |

  20. The following is the data of wages per day: 5, 4, 7, 5, 8, 8, 8, 5,...

    Text Solution

    |