Problem 4 Compute the following summary statistics for Variable 4 in the survey that you created in Problem 1, using your calculator and key steps and formulae as shown in your text. Problem 4a Compute the mean for Variable 4 [3 marks] Problem 4b Compute the median for Variable 4 [3 marks] Problem 4c By comparing the mean and median, what can you say about the skewness of Variable 4? What does the skewness mean in terms of the practical context of your survey in Problem 1. Explain [3 marks] Problem 4d For Variable 4, which summary measure - the mean or the median - would be a more appropriate measure of central tendency? Explain. [2 marks] Problem 4e Compute the standard deviation for Variable 4, using your calculator, key steps and formula as shown in your text. [5 marks] Problem 4f Determine the third quartile for Variable 4. Show your work. Interpret your answer [3 marks] Problem 4g Compute the interquartile range for Variable 4. Show your work. Interpret your answer [3 marks] Problem 4h. Determine the 25 th Percentile for Variable 4. Show your work. Interpret your answer

Therefore, the mean age is given by; Mean age (41 + 30 + 20 + 55 + 34 + 42+ 25 + 36+ 56 + 25 + 30 + 48 + 53 + 35 +27+ 30+ 58+ 23+ 20+ 20) = (20)