Home
Class 12
MATHS
The following data gives the distributio...

The following data gives the distribution of height of students :
`{:(underset(("in cm"))"Height",160,150,152,161,156,154,155),(underset("students")"Numbers of ",12,8,4,4,3,3,7):}`
The median of the distribution is

A

154

B

155

C

160

D

161

Text Solution

Verified by Experts

The correct Answer is:
B
Arranging the data in ascending order of magnitude, we obtain

Here, total number of items is `(41+1)/(2)` th=21st item.
From cumulative frequency table, we find that median i.e., 21st item is 155.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • STATISTICS

    CENGAGE|Exercise Exercise 11.2|6 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE|Exercise Comprehension Type|6 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

Similar Questions

Explore conceptually related problems

The following data give the distribution of heights of students : {:(underset(("in cm"))"Height",160,150,152,161,156,154,155),(underset("students")"Numbers of ",12,8,4,4,3,3,7):} The median of the distribution is

The following is the distribution of height of students of a certain class in a certain city: {: ("Height (in cms)", 160-162 163-165 166-168 169-171 172-174), ("No. of students", 15 118 142 127 18):} Find the median height.

What is the median of the distribution 3, 7, 6, 9, 5, 4, 2?

Following is the distribution of marks in Economics obtained by 50 students : {:("Marks (more than)",0,10,20,30,40,50),("Number of Students",50,46,40,20,10,3):} Calculate the median marks . If 60% of the students pass this test , find the minimum marks obtained by a pass candidate.

Given below is the data showing heights of 50 students in a class. Find its median. {:("Height(in cm)",162,164,166,167,168,170,173,175,177,180),("Number of Students",6,4,5,12,8,3,7,2,2,1):}

Mode of the distribution: Marks 4,5,6,7,8 No.of students 3,5,10,6,1.

Following is the distribution of marks in Statistics obtained by 32 students : {:("Mid - value",5,15,25,35,45,55),("Frequency",4,6,10,7,3,2):} Caculate the median marks.

The mean deviation about the median of the following distribution is {:("Marks obtained",10,11,12,14,15),("Number of students",2,3,8,3,4):}

CENGAGE-STATISTICS-Exercise (Single)
  1. The harmonic mean of 4,8,16 is

    Text Solution

    |

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

    Text Solution

    |

  3. The following data gives the distribution of height of students : {:...

    Text Solution

    |

  4. For a slightly asymmetric distribution, mean and medain are 5 and 6, r...

    Text Solution

    |

  5. Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,...

    Text Solution

    |

  6. If mu the mean of distribution (y(i),f(i)), then sum f(i)(y(i)-mu)=

    Text Solution

    |

  7. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

    Text Solution

    |

  8. If each observation of a raw data whose variance is sigma is multiplie...

    Text Solution

    |

  9. If a variable x takes values 0,1,2,..,n with frequencies proportional ...

    Text Solution

    |

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

    Text Solution

    |

  11. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  12. For a given distribution of marks, the mean is 35.16 and its standard ...

    Text Solution

    |

  13. The mean and S.D of 1, 2, 3, 4, 5, 6 is

    Text Solution

    |

  14. The standard deviation of 25 numbers is 40. If each of the numbers in ...

    Text Solution

    |

  15. Consider any set of observations x(1),x(2),x(3),..,x(101). It is given...

    Text Solution

    |

  16. For (2n+1) observations x(1), x(2),-x(2),..,x(n),-x(n) and 0, where al...

    Text Solution

    |

  17. Let r be the range and S^(2)=(1)/(n-1) sum(i=1)^(n) (x(i)-overline(x))...

    Text Solution

    |

  18. The standard deviation of variate xi is σ. Then standard deviation of ...

    Text Solution

    |

  19. The standard deviation of data 6,5,9,13,12,8 and 10 is

    Text Solution

    |

  20. If the mean of 100 observations is 50 and their standard deviations is...

    Text Solution

    |