Question
Download Solution PDFThe given histogram represents the marks of students in Mathematics test of a certain class. The total number of students is 350 and the maximum marks of the test are 200.
Study the graph and answer the question that follows.
What is the class average (correct up to one place of the decimal) of mathematics test?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total number of students = 350
Calculation:
Arranging all values in a frequesncy chart:
| Marks | Number of students (fi) | Mid value of marks (xi) | fixi |
| 20 - 40 | 10 | 30 | 10 × 30 = 300 |
| 40 - 60 | 18 | 50 | 18 × 50 = 900 |
| 60 - 80 | 32 | 70 | 32 × 70 = 2240 |
| 80 - 100 | 45 | 90 | 45 × 90 = 4050 |
| 100 - 120 | 60 | 110 | 60 × 110 = 6600 |
| 120 - 140 | 75 | 130 | 75 × 130 = 9750 |
| 140 - 160 | 55 | 150 | 55 × 150 = 8250 |
| 160 - 180 | 40 | 170 | 40 × 170 = 6800 |
| 180 - 200 | 15 | 190 |
15 × 190 = 2850 |
Total number of students
The text in the image is: ∑fixi = 350
Also, ∑fixi = 300 + 900 + 2240 + 4050 + 6600 + 9750 + 8250 + 6800 + 2850 = 41740
The average marks (∑fixi / ∑fi) = 41740/350 = 119.257... ≈ 119.3 (correct up to one place of decimal)
∴ The class average is 119.3
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.