In the histogram each bar will represent a month and the height of each bar should be proportional to the number of tornadoes that occurred in the corresponding month.
B
b
Draw a curve over the histogram. Recall what a skewed distribution looks like.
We will make a histogram using the given table containing data about tornadoes.
Month
Tornadoes
1
84
2
147
3
129
4
189
5
461
6
294
7
93
8
101
9
111
10
21
11
20
12
40
In the histogram each bar will represent a month and the height of each bar should be proportional to the number of tornadoes that occurred in the corresponding month. Let's do it!
b
We are asked to determine whether the histogram that we made in Part A approximates a normal curve. Let's first draw a curve over the histogram and see if it looks like a normal curve.
We can see that the curve is not symmetric. Most of the data is on the left side of the graph, and so we can say that the tornadoes data set is positively skewed. Therefore, the histogram does not approximate a normal curve.
c
In Part B, we found that the the tornadoes data set is positively skewed. Therefore, it is notnormally distributed. This means that the graph of the distribution is not a normal curve, so using a normal curve to approximate the number of tornadoes would not be appropriate.
