Managerial Statistics

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homework.docx

Question 1: State whether each of the following variables is categorical or quantitative and indicate its measurement scale.

a. Annual Sales b. Soft drink size (small, medium, large). c. Occupational classification (SOC 2000). d. Earnings per share. e. Method of payment (cash, cheque, credit card).

Question 2: A questionnaire provides 58 Yes, 42 No and 20 No-opinion answers.

1. In the construction of a pie chart, how many percent would be in the sector of the

pie showing the Yes answers?

2. How many percent would be in the sector of the pie showing the No answers?

3. Construct a pie chart.

4. Construct a bar chart.

Question 3: Consider the following data. 14 21 23 21 16 19 22 25 16 16 24 24 25 19 16 19 18 19 21 12 16 17 18 23 25 20 23 16 20 19 24 26 15 22 24 20 22 24 22 20

1. Construct a frequency distribution using classes of 12–14, 15–17, 18–20, 21–23 and 24–26.

2. Construct a relative frequency distribution and a percentage frequency distribution using the classes in (a).

3. Draw a Histogram.

Question 4: The following data were obtained for the number of minutes spent listening to recorded music for a sample of 30 individuals on one particular day.

88.3 4.3 85.4 0.0 4.4 67.9 4.6 7.0 9.2 0.0 17.5 45.0 53.3 29.1 94.2 7.6 56.6 52.9

99.2 34.9 28.8 0.0 145.6 70.4

81.7 0.0 98.9 64.5 65.1 63.6

1. Compute the mean.

2. Compute the median.

3. Compute the first and third quartiles.