Home
Class 12
MATHS
The median of 100 observations grouped i...

The median of 100 observations grouped in classes of equal width is 25. If the median class interval is 20-30 and the number of observations less than 20 is 45, then the frequency of median class is

A

20

B

12

C

10

D

15

Text Solution

Verified by Experts

The correct Answer is:
C

We have,
`N=100, F=45, l =20, h=10" and Median "=25`
Let f be the frequency of the meidan class.
Then,
Median `=l+((N)/(2)-F)/(f) xx h`
`rArr 25=20+(50-45)/(f) xx 10`
` rArr 5=(50)/(f) rArr f=10`
Promotional Banner

Topper's Solved these Questions

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Exercise|40 Videos
  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos
  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos
  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos
  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the number of observations n is even, then median is

As the number of observations and classes increases, the shape of a frequency polygon

If total number of apples is 250, then the upper limit of the median class is

If the less than cumulative frequency of a class is 50 and that of the previous class is 30 , then the frequency of that class is "__________" .

In the class interval 20 - 30, the lower class limit is _______

If the median of 25 observations is 45 and if the observations greater than the median are increased by 4, then the median of the new data is

In the given histogram, which class is the median class?

Find the lower limit of the median class

The median of 19 observations is 30. Two more observations are made and the value of these are 8 and 32. What is the median of the 21 observations ?

OBJECTIVE RD SHARMA-MEASURES OF CENTRAL TENDENCY-Section I - Solved Mcqs
  1. If the average of a, b, c and d is the average of b and c, then whic...

    Text Solution

    |

  2. If the arithmetic mean of the following data is 7, then a + b = {:(x...

    Text Solution

    |

  3. The average of n numbers x(1),x(2), …,x(n) is M. If x(n) is replaced b...

    Text Solution

    |

  4. For a symmetrical distribution Q(1) =20 and Q(3) =40. The value of 5...

    Text Solution

    |

  5. The mean of the series a, a + d, a + 2d, …, a + 2 nd, is

    Text Solution

    |

  6. If the mean of the following data is 5.5, then x = {:(x(i),2,4,6,...

    Text Solution

    |

  7. The median of the data 5 , 6 , 7, 8 , 9 , 10 is "".

    Text Solution

    |

  8. The Median of the following discrete series is {:(x(i),3,6,5,8,12,...

    Text Solution

    |

  9. The median class in the following frequency distribution is {:("Cla...

    Text Solution

    |

  10. The number of observations in a group is 40. If the average of first 1...

    Text Solution

    |

  11. GM of the numbers 3,3^2,3^3,...,3^n is

    Text Solution

    |

  12. If the median of 25 observations is 45 and if the observations greater...

    Text Solution

    |

  13. The median of a set of a observations is 20.5. If each of the largest ...

    Text Solution

    |

  14. A boy goes to a school from his home at a speed of x km/hr and comes b...

    Text Solution

    |

  15. A car complete the first half of its journey with speed v1, and the re...

    Text Solution

    |

  16. A person purchases 1 kg of tomatoes from each of the 4 places at th...

    Text Solution

    |

  17. The mode of the following distribution is {:("Class interval :",1-5...

    Text Solution

    |

  18. The median of 100 observations grouped in classes of equal width is 25...

    Text Solution

    |

  19. The age distribution of 400 persons in a colony having median age 3...

    Text Solution

    |

  20. The mean of the data set comprising of 16 observations is 16. If on...

    Text Solution

    |