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 Jul 19, 2025
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