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Question 820:

An animal trainer obtained the following sample data (Table A) in a study of reaction times of dogs (in seconds) to a specific stimulus. He then selected another group of dogs that were much older than the first group and measure their reaction times to the same stimulus. The sample data is shown in Table B.

Classes Frequency Classes Frequency
2.3-2.9 32 2.3-2.9 13
3.0-3.6 17 3.0-3.6 12
3.7-4.3 25 3.7-4.3 20
4.4-5.0 14 4.4-5.0 13
5.1-5.7 4 5.1-5.7 3
5.8-6.4 20 5.8-6.4 18

Find the variance and standard deviation for the two distributions above. Compare the variation of the data sets. Decide if one data set is more variable than the other. (Points: 9)

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