Variance and Standard Deviation Activity The researcher wanted to determine how many daily interactions with a pet it needed to reduce stress= though needed to nd out how many times were typical in the population. However, this information needs to be estimated based on a sample of pet owners om the population. Eight individuals were sampled and asked how many times per day they played with their pet. Consider the following data and complete the following calculations (showing all of your work including the formula you are using): 4 5 2 3 3" ti 1 9 l. 'Whatistherange Kmarthm: 2. 'What is the sum of squares (33)? You are calculating the 33 so that you can gure out the variance (3'?) and standard deviation (5') for these data as a population and as a sample. P\"3'17'ulation Formula for SS 2 SS 2 Z (X a) ___ 5....1. mu]. f... 35 ___ : [___ 5'3 = 20" M) ___ mm 3. 'What is the variance if this was a \"population"?' 4. What is the standard deviation if this was a \"population"? 5. What is the variance if this was a \"sample\"? 15. 'What is the standard deviation if this was a \"sample\"? 3". Recap question: Calculate andfor explain the mean, median and mode of the data above. 4 5 2 3 3" ti 1? putinmimericalordera' Mean = Median = Mode = Reminder Notes: The \"standard deviation\" is the \"square root of the variance\" The "variance is the standard deviation squared\