Question

1. (1 mark) The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2.

1. Calculate the interquartile range. What does this tell you about the data? Show your work.
2. Describe the shape of distribution of salaries of employees of the firm based on the values of the quartiles.
3. Give a possible reason for the shape of this data set, in terms of salaries.
4. Compute and interpret the 90th percentile. Show your work.

Answer 1

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