An animal trainer obtained following data (Table A) in the study of reaction times of dogs (in seconds) to the specific stimulus. He then selected another group of dogs which were much older than the first group and measure their reaction times to same stimulus. The data is shown in Table B.
Table A Table B
| Classes |
Frequency |
Classes |
Frequency |
| 2.3-2.9 |
18 |
2.3-2.9 |
4 |
| 3.0-3.6 |
14 |
3.0-3.6 |
7 |
| 3.7-4.3 |
11 |
3.7-4.3 |
9 |
| 4.4-5.0 |
10 |
4.4-5.0 |
22 |
| 5.1-5.7 |
3 |
5.1-5.7 |
17 |
| 5.8-6.4 |
2 |
5.8-6.4 |
7 |
Find out the variance and standard deviation for two distributions above. Compare the variation of data sets. Decide if one data set is more variable than the other.