Home
Class 9
MATHS
A Class of 40 students is divided into f...

A Class of 40 students is divided into four groups named as A, B, C and D. Group-wise percentage of marks scored by them are given below in the table.
`{:(A,B,C,D),(20,42,10,21),(30,51,25,69),(40,45,85,70),(25,58,73,86),(22,53,98,53),(45,64,43,68),(65,72,64,99):}`
By using the coefficient of range find which of the group has shown good performance.

A

A

B

B

C

C

D

D

Text Solution

Verified by Experts

The correct Answer is:
B

(i) Find the coefficient of range of A, B, C and D and compare.
(ii) `"Coefficient of range" = ("Maximum value - Minimum value")/("Maximum Value + Minimum value")`
(iii) Find the coefficient of range of A, B, C and D.
(iv) The least coefficient of range implies good perfprmance.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-2|20 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

Life (in hour) of 10 bulbs from each of four different companies A, B, C and D are given below in the table. {:(A,B,C,D),(120,700,950,530),(1600,502,330,650),(280,1430,1200,720),(420,625,500,550),(800,780,445,748),(770,335,1260,570),(270,224,375,635),(455,1124,1130,804),(150,473,185,500):} By using the coefficient of range find which company has shown the best consistency in its quality?

The marks scored by 40 students of class VIII in mathematics are given below: 81,55,68,79,85,43,29,68,54,73,47,35,72,64,95,44,50,77,64, 35,79,52,45,54,70,83,62,64,72,92,84,76,63,43,54,38,73,68,52,54. Prepare a frequency distribution with class size of 10 marks.

Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-45 (45 not included): 30,40,45,32,43,50,55,62,70,70,61,62,53,52,50,42,35,37,53, 55,65,70,73,74,45,46,58,59,60,62,74,34,35,70,68 What is the class marks of the class interval 40-45? What is the range of the above weights? How many classes are there?

The marks obtained by 40 students of class VIII in an examination are given below: 16,17,18,3,7,23,18,13,10,21,7,1,13,21,13,15,19,24,16,3, 23,5,12,18,8,12,6,8,16,5,3,5,0,7,9,12,20,10,2,23 Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.

Two sections of class IX having 27 students in each section appeared for Mathematics olympiad. The marks obtained by them are shown below. 46, 31, 74, 68, 42, 54, 14, 61, 48, 37, 26, 8, 64, 57, 93, 72, 53, 59, 38, 16, 88, 56, 46, 66, 45, 61, 54, 27, 27, 44, 63, 58, 43, 81, 64, 36, 49, 50, 76, 38, 47, 77, 62, 53, 40, 71, 60, 45, 42, 34, 46, 40, 59, 42 One student is selected at random. Find the probability that selected student is having marks more than 49.

Construct a frequency table with class-intervals 0-5 (5 not included) of the following marks obtained by a group of 30 students in an examination: 0,5,7,10,12,15,20,22,25,27,8,11,17,3,6,9,17,19,21, 29,31,35,37,40,42,45,49,4,50,16.

We are given the following marks secured by 25 students in an examination . 23,28,30,32,35,36,36,40,41,43,44,44,45,48,49,52,53,54,56,56,58,61,62,65,68. (i)Arrange this data in the form of a frequency distribution taking the following class intervals. 20-29,30-39,40-49,50-59, and 60-69 (ii) Draw the frequency polygon and ogive for the above data.

The following are the marks (out of 100) of 60 students in Mathematics. 16,13,5,80,7,51,48,24,56,70,19,17,16,36,34, 42,34,42,34,34,35,72,55,75,31,52,28,97,74,45,62,68,86, 35,85,36,81,75,55,26,95,31,7,78,92,62,52,56,15,63,25,36,54,44,47,27,72,17,4,30 . Construct a grouped frequency table with width 10 of each class starting from 0-9.

The marks scored by 20 students in a test are given below: 54,42,68,56,62,71,78,51,72,53,44,58,47,64,41,57,89,53,87,57. Complete the following frequency table: Marks in class intervals, Tally marks, Frequency (No. of children 40-50 50-60 60-70 70-80 80-90, , What is the class interval in which the greatest frequency occurs?

PEARSON IIT JEE FOUNDATION-STATISTICS-LEVEL-3
  1. A Class of 40 students is divided into four groups named as A, B, C an...

    Text Solution

    |

  2. Life (in hour) of 10 bulbs from each of four different companies A, B,...

    Text Solution

    |

  3. If the mode of the observations 5, 4, 4, 3, 5, x, 3, 4, 3, 5, 4, 3 an...

    Text Solution

    |

  4. In a colony, the average age of the boys is 14 years and the average a...

    Text Solution

    |

  5. Find the median of the following data. {:("Class Interval",f),(" "0...

    Text Solution

    |

  6. In a class of 20 students, 10 boys brought 11 books each and 6 girls b...

    Text Solution

    |

  7. The mean of a set of 20 observations is 8 an another set of 30 observa...

    Text Solution

    |

  8. Find the approximate value of mean deviation about the mode of the fol...

    Text Solution

    |

  9. The mean of the following distribution is 4. Find the value of q. {:...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the mode of the following discrete series. {:(x,1,2,3,4,5,6,7,8...

    Text Solution

    |

  12. Find the median of the following data. {:(x,12,15,18,21,24),(f,4,7,2...

    Text Solution

    |

  13. Find the mean deviation about the median for the following data. {:(...

    Text Solution

    |

  14. Find the mode for the following data. {:("Class Interval",f),(" "0-...

    Text Solution

    |

  15. Find the quartile deviation of the following discrete series. {:(x,8...

    Text Solution

    |

  16. Find the arithmetic mean of the observations x + 5, x + 6, x + 10, x +...

    Text Solution

    |

  17. Find the mode of the following discrete series. {:(x,1,2,3,4,5,6,7,8...

    Text Solution

    |

  18. Find the mean of the following continuous distribution. {("Class Int...

    Text Solution

    |

  19. Which of the following is not changed for the observations 31, 48, 50,...

    Text Solution

    |