An animal trainer obtains the following sample data (table A)in a study of react

Question

An animal trainer obtains the following sample data (table A)in a study of reaction times of dogs (in seconds) to a specificstimulus. He then selected another group of dogs that were mucholder than the 1st group and measure their reaction times to thesame stimulus (Table B). -Find the variance and standard deviations for the 2distributions below. -Decide if one data set is more variable than the other. TableA                                                       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 An animal trainer obtains the following sample data (table A)in a study of reaction times of dogs (in seconds) to a specificstimulus. He then selected another group of dogs that were mucholder than the 1st group and measure their reaction times to thesame stimulus (Table B). -Find the variance and standard deviations for the 2distributions below. -Decide if one data set is more variable than the other. TableA                                                       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 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

Explanation / Answer

x.j5tyle="border-collapse: collapse; width: 559pt;" width="744" border="0" cellpadding="0" cellspacing="0"> Group A Classes Frequecy (f) Mid value (x) fx x-m sq(x-m) f.sq(x-m) 2.3-2.9 32 2.6 83.2 -1.40625 1.977539 63.28125 3.0-3.6 17 3.3 56.1 -0.70625 0.498789 8.479414 3.7-4.3 25 4 100 -0.00625 3.91E-05 0.000977 4.4-5.0 14 4.7 65.8 0.69375 0.481289 6.738047 5.1-5.7 4 5.4 21.6 1.39375 1.942539 7.770156 5.8-6.4 20 6.1 122 2.09375 4.383789 87.67578 sum 112 448.7 173.9456 Mean (m)= 4.00625 So varian

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