1. For a study on hourly wage rates in Vancouver (in $ dollars per hour), thirty random occupations were randomly selected and the result were recorded below. a. Determine the mean. (3 marks) b. Determine the standard deviation. (3 marks) c. Construct a Frequency Distribution for this data set showing all calculations involved in the process. (6 marks) d. Draw the corresponding histogram. (2 marks) 24 36 48 20 42 28 29 32 38 56 52 44 46 46 36 68 50 32 60 65 66 55 65 58 39 61 45 28 48 55 Class Tally Frequency

2. The mean mass of newborn infants in Quebec is 2.9 kg with a standard deviation equal to 0.6 kg. Using the Empirical Rule, what percent of infants should be found with birth weights between 2.3 kg and 3.5 kg? (4 marks)

3. A consulting firm wants to examine the number of hours that amateur athletes for a particular sport train per week. A random sample of hours was taken. The results were arranged in the following distribution table. Answer the following questions and be sure to include units in your answer. Hours Frequency f Midpoints X Cumulative Frequency, fc 5 to under 10 10 10 to under 15 18 15 to under 20 30 20 to under 25 25 25 to under 30 13 30 to under 35 4 a) What is the value of the class interval i for this distribution? (1 mark) b) Determine the grouped mean. (5 marks) c) Calculate the grouped median. Show your work here. d) Determine the grouped standard deviation. e) Calculate the 90th percentile. Explain what this calculation tells us. f) Calculate the coefficient of skewness and explain what this value indicates about the distribution.

4. A recent salary survey of NC program graduates was undertaken. Analysis of the data revealed a mean entry level salary of $26,000 with a standard deviation of $3,500 for Sport Management graduates, while International Business graduates had a mean salary was $30,750 with a standard deviation of $3,750. Which has the greater relative dispersion? Prove it with calculations!

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