Question

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant​ criteria? temperature ​(degrees°​f) frequency 40 dash 4440-44 22 45 dash 4945-49 00 50 dash 5450-54 44 55 dash 5955-59 1212

Answer 1

Answer: No, it does not appear to be normal.

A normal distribution has very specific characteristics:
- it is bell-shaped: it starts at a low value, then it increases to a maximum value, then it decreases to a low value again;
- it is symmetric;
- it is single-peaked.

The data table is not complete, but it is enough to give an answer.

Let's see how the frequencies change: we have 2, 0, 4, 12,...
The frequencies start from a low value, but at first, they decrease to a lower value right before increasing to a maximum value.

We don't know how they change after the maximum value, but from the first part of the curve, we can see that it is not bell-shaped, because it decreases before increasing. Probably, it won't be symmetric either.

Hence, we can say that using a strict interpretation of the relevant criteria the frequency distribution does not appear to be normal.