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An animal trainer obtained the following sample data (Table A) in a study of reaction times of dogs

Question: 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 measured their reaction times to the same stimulus. The sample data is shown in Table B. Please show all of your work.

Table A Table B

Classes	Frequency	Classes	Frequency
2.3-2.9	21	2.3-2.9	6
3.0-3.6	2	3.0-3.6	4
3.7-4.3	12	3.7-4.3	35
4.4-5.0	13	4.4-5.0	37
5.1-5.7	5	5.1-5.7	3
5.8-6.4	33	5.8-6.4	4

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.

Please show all of your work.

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