The table shows the number of books read by the students of a class during a vacation.
| Number of books | 2 | 4 | 6 | 8 |
|---|---|---|---|---|
| Number of students | 3 | 5 | 8 | 4 |
What is the mean number of books read per student?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 5.3
In a frequency table each value counts as many times as its frequency, so the mean is the sum of (value × frequency) divided by the sum of the frequencies.
Number of students \(=3+5+8+4=20\)
Total books \(=2\times3+4\times5+6\times8+8\times4=6+20+48+32=106\)
Mean \(\displaystyle=\frac{106}{20}=5.3\)