Based on the data given in the following table find the arithmetic mean of the marks obtained out of 10 in a class test by the students of a class.
|
Marks obtained out of 10 In a class test |
Frequency |
|
0 |
3 |
|
1 |
2 |
|
2 |
2 |
|
3 |
4 |
|
4 |
6 |
|
5 |
7 |
|
6 |
7 |
|
7 |
5 |
|
8 |
3 |
|
9 |
4 |
|
10 |
2 |
|
Total Frequency |
|
Answer & explanation
Correct answer: option 3
⇒ Total frequency = 3 + 2 + 2 + 4 + 6 + 7 + 7 + 5 + 3 + 4 + 2 = 45
⇒ Arithmetic mean = \(\frac{ 0 × 3 + 1×2+2×2+3×4+4×6+5×7+6×7+7×5+8×3+9×4+10×2 }{45}\)
= \(\frac{234 }{45}\) = 5.2