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You wish to explain to your boss what effect taking the base-10 logarithm of the

ID: 3055064 • Letter: Y

Question

You wish to explain to your boss what effect taking the base-10 logarithm of the salary values in the company's database will have on the data. As simple, example values, you compare a salary of $10,000 earned by a part-time shipping clerk, a salary of $100,000 earned by a manager, and the CEO's $1,000,000 compensation package. Why might the average of these values be a misleading summary? What would the logarithms of these three values be? Why might the average of these values be a misleading summary? O A. The average value would be determined by the CEO's salary $370,000. O B. The average value would be determined by the clerk's salary - $37,000. O C. The average value would be determined by the clerk's salary $370,000. O D. The average value would be determined by the CEO's salary - $37,000. What would the logarithms of these three values be? O A. The logarithms are 4, 5, and 6, which are evenly spaced. O B. The logarithms are 3, 5, and 7, which are evenly spaced. ° C. The logarithms are 10, 100, and 1,000, which are manageable numbers O D. The logarithms are 1, 10, and 100, which are manageable numbers.

Explanation / Answer

Solution: Why might the average of these values be a misleading summary?

Answer: The correct option is A.

The average value would be determined by the CEO's salary - $370,000.

What would be logarithms of these three values be?

Answer: The correct option is A.

The logarithms are 4,5 and 6, which are evenly spaced.

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