Question
Download Solution PDFStudy the given bar-graph and answer the question that follows.
How many students obtained more than the average marks of the class?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The bar graph shows the distribution of marks obtained by students.
Formula Used:
1. Average marks = Total marks / Total number of students
2. Number of students who obtained more than the average marks.
Calculation:
Step 1: Calculate total marks and total number of students
Total students = 1 + 3 + 2 + 8 + 5 + 4 + 1 = 24
Total marks = (1 × 125) + (3 × 130) + (2 × 135) + (8 × 140) + (5 × 145) + (4 × 150) + (1 × 160) = 125 + 390 + 270 + 1120 + 725 + 600 + 160 = 3390
Step 2: Calculate the average marks
Average marks ⇒ 3390 / 24 ≈ 141.25
Step 3: Find the number of students who obtained more than the average marks
Students who scored above 141.25 are those who scored 145, 150, and 160 marks.
Number of students in these categories: 5 (145 marks) + 4 (150 marks) + 1 (160 marks) = 10
Therefore, 10 students obtained more than the average marks of the class.
Last updated on May 28, 2025
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