Based on the data given in the following table, find the arithmetic- mean of the number of major meals that included a potato based dish, which the 39 students surveyed had eaten in a week.
|
Number of major meals 39 students had eaten in a week with a potato-based dish included |
Frequency |
|
1 |
3 |
|
2 |
2 |
|
3 |
2 |
|
4 |
5 |
|
5 |
5 |
|
6 |
4 |
|
7 |
6 |
|
8 |
3 |
|
9 |
5 |
|
10 |
3 |
|
11 |
1 |
|
Total Frequency |
39 |
Answer & explanation
Correct answer: option 3
Mean = \(\frac{ 1×3 + 2×2 + 3×2 + 4×5+5×5+6×4+7×6+8×3+9×5+10×3+11×1}{39}\)
= \(\frac{3 + 4 + 6 + 20 + 25 + 24 + 42 + 24 + 45 + 30 + 11 }{39}\)
= \(\frac{234}{39}\)
= 6