In: Math
Forty professional aeronautics students enrolled in a psychology course were asked how many hours they had studied during the past weekend. Their responses are provided below.
11 |
2 |
0 |
13 |
5 |
7 |
1 |
8 |
12 |
11 |
7 |
8 |
9 |
10 |
7 |
4 |
6 |
10 |
4 |
7 |
8 |
6 |
7 |
10 |
7 |
3 |
11 |
18 |
2 |
9 |
7 |
3 |
8 |
7 |
3 |
13 |
9 |
8 |
7 |
7 |
For the data above, construct a frequency table and histogram. Evaluate the graphics.
Is the data normally distributed? If not, is it positively or negatively skewed? Is there kurtosis?
For the data above, construct a frequency table and histogram. Evaluate the graphics. Is the data normally distributed? If not, is it positively or negatively skewed? Is there kurtosis?
The frequency distribution and histogram by using excel for the given data is given as below:
Class |
Frequency |
0 to 2 |
4 |
3 to 5 |
6 |
6 to 8 |
17 |
9 to 11 |
9 |
12 to 14 |
3 |
15 to 17 |
0 |
> 17 |
1 |
Total |
40 |
From the above histogram, it is observed that the given data is approximately normally distributed.
Skewness is very less for the given data and it is skewed at right side.
There is a kurtosis exist for the given data.
The coefficient of kurtosis by using excel for the given data is 0.853653. This means the given data is approximately symmetric.
[We know that if the coefficient of kurtosis is lies between -0.5 and 0.5, then data is approximately normal.]