Numerical Analysis Measure of Positions

Quiz 6 20 pts Name_______________________ 1a) (2 pts) A doctor tells a patient that his cholesterol level is in the 68th percentile for the patient’s age group. What can you conclude about the patient’s cholesterol level? 1 b) (2 pts) Adult males have heights with a mean of 69. 0 in. and a standard deviation of 2. 8 in. Find the z −scores for Cleveland Cavaliers’ Kevin Love, who is 6 ft 8 in. Note: Do not forget to do units conversion. Interpret your finding in term of SD. 2) (3 pts) Two boxplots represent gas prices in different USA regions. If you are looking for relocation and expect to drive a lot, what area would be the best place to go? In full sentences give your reasoning. 3) (3 pts) Check data set for outliers. Show all process to receive points. 11 14 16 14 35 20 1 4) (4 pts) Use the box-and-whisker plot to identify the following (write numbers for each items): (a) the minimum entry (d) the second quartile, approximately (b) the maximum entry (e) the third quartile (c) the first quartile (f) the interquartile range (g) make comment on nature of the distribution (skewed left, right, symmetric 5) (5 pts) Ages of Executives. The ages of a sample of 40 executives are in Excel on Brightspace. 60 57 55 54 54 53 53 51 55 54 53 53 53 50 59 56 58 56 55 54 53 53 53 49 58 55 54 54 53 53 52 48 57 55 54 54 53 53 52 47 (a) Find Q 1 , Q 2 , Q 3 . (Use any technology). (b) Draw a box-and-whisker plot that represents the data set. (c) Describe the distribution shape. (d) Based on this sample, at what age would you expect to be executive? Explain. 6) (1 pts) True or false. If it is false, rewrite it as a true statement. The five numbers you need to construct a box-and-whisker plot are the minimum, the maximum, Q1, Q3, and the median. 2