Question

Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning

Answer 1

Answer: The second distribution.

Explanation:

We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)

For example, in the first distribution, we can see a normal distribution with a mean of 6.

This does not really make sense, because 6 plates is really a lot.

The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)

The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.

The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)