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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Calculate the mean of the scores of 20 students in a mathematics test
Marks10-20 20-30 30-40 40-50 50-60
Number of students 2 4 7 6 1
Solution:
Given, the above data represents the marks scored by the number of students in a mathematics test.
We have to determine the mean of the scores of 20 students.
| Marks | Number of students (f) | Midpoint x | f × x |
| 10 - 20 | 2 | 15 | 30 |
| 20 - 30 | 4 | 25 | 100 |
| 30 - 40 | 7 | 35 | 245 |
| 40 - 50 | 6 | 45 | 270 |
| 50 - 60 | 1 | 55 | 55 |
| Total | ∑f = 20 | ∑fx = 700 |
By direct method,
Mean = ∑fx / ∑f
From the table,
Mean = 700/20
= 70/2
= 35
Therefore, the mean is 35.
✦ Try This: Calculate the mean of the scores of 20 students in a mathematics test:
| Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| Number of students | 3 | 6 | 8 | 7 | 3 |
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 2
Calculate the mean of the scores of 20 students in a mathematics test Marks 10-20 20-30 30-40 40-50 50-60 Number of students 2 4 7 6 1
Summary:
The mean of the scores of 20 students in a mathematics test is 35
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