2. For each data set provided below: 121 a. Determine whether calculating a standard deviation of sample, standard deviation of the population, or standard deviation of the estimated population is appropriate. Standard Deviation of Sample is calculated when you are describing how much scores vary in a given sample. population. Standard Deviation of the Population is calculated when the data is from the entire Standard Deviation of the Estimated Population is calculated when you want to make an inference about the population. b. Calculate the appropriate standard deviation for each study using the formula table below as a guide. Variance (Var.) SAMPLE IS, POPULATION ESTIMATED POPULATION Definitional formula Ex- x) Ex-W "p vacally cannot be calculated Variance (Var.) Computational formula N-T Standard Deviation (st. dev.) S Definitional formula E(x - X) Ex - 12 N . pa urally cannot be calenter ed Standard Deviation (st dev.) [(x') - 6-592 IN Computational formula N- 1 3. A veterinarian is looking at the weight of puppies from the same household in kilograms: 1 , 2, 7, 7. (CIRCLE ONE) This is: standard deviation of sample, standard deviation of the population or standard deviation of the estimated population. Computational OR Definitional Formula Formula X X2 X Mean (X - Mean) (X - Mean) 4:29 -3 25 110.567 2 4 2 4.25 2. 75 15. 162 49 17 1.25 2. 75 4 562 7 E(X - Mean)? = EX = E(X2 ) = =17 = 103