In a fifth grade class, teacher was interested in the average age and the standard deviation of the ages of her students. The following data are the ages for a sample of n = 20 fifth grade students. 9, 9, 9, 9.5, 9.5, 10, 10, 10.5, 10.5, 10.5, 11, 11, 11, 11.5, 11.5, 11.5, 11.5, 11.5, 11.5, 11.5 Find the sample mean, variance, and standard deviation. 1. Calculate the sample mean. Do not round your answer. Z 2. Use your answer from question 1 to fill in the table below. Again, do not round your answers. Frequency Age - mean Raise to the 2nd power Times the frequecy Age 9 3 9.5 10 8= 10.5 11 11.5 2 2 3 3 7 Place the total of the last column here --> 3. Calculate the sample variance. Divide the total for question 2 by 19. Apply the general rounding rules given a data set. 8² 4. Calculate the sample standard deviation. Square root your unrounded answer from question 3. Apply the general rounding rules given a data set.