The following shows the weekly salaries for all of Acme Inc.’s employees: (The number in parentheses after the question indicate the points for that specific question).
$582.70 $420.30 $643.60 $1,121.00 $359.20
$1,325.75 $735.80 $817.00 $543.60 $487.00
a. Calculate the arithmetic mean weekly salaries? (4) (Round the final answer to 2 decimal places.)
[Hint: Best to use the calculator built in process to get this value.]
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b. What is the median weekly salaries? (4) (Round the final answer to 2 decimal places.)
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c. Calculate the standard deviation of the weekly salaries? (5) (Round the final answer to 2 decimal places.)
[Hint: Best to use the calculator built in process to get this value to mitigate running out of time for this test.]
[Hint: Be very careful as to which value you use as it will depend on whether the raw data is a sample or a population.]
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d. Calculate the Pearson's coefficient of skewness, sk. (4) (Round the final answers to 1 decimal place).
e. Based on your answer to question d. above, characterize the possible shape of the distribution. (2)
f. Calculate the Location of Q3. (4) (Round the final answers to 2 decimal places).
g. Which symbol should be used to represent your answer to question a. above? (2)