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1,2,3 and 4 please! A small cell phone manufacturing company using a robotic ass

ID: 3141640 • Letter: 1

Question


1,2,3 and 4 please!

A small cell phone manufacturing company using a robotic assembly line employs 13 people with the following annual salaries: $120,000 President $100,000 Vice president $75,000 Financial manager $65,000 Sales manager $40,000 Production manager $30,000 Production supervisor $30,000 Warehouse supervisor $16,000 Six unskilled laborers Calculate the mean, median, and mode for the salaries rounded up to the nearest thousand. The statistic most often used to describe company salaries is the median or the mean, For company, does the mean give an accurate description of the salaries? Why or why not? Which statistic would this company's labor union representative be most likely to cite during contract negotiations and why? Which statistic would the company president most likely report at the annual shareholders' meeting and why? Name another situation in which it would be beneficial to report the highest average salary, and name another situation where it would be beneficial to use the lowest average salary.

Explanation / Answer

1) mean = sum /number of terms = ( 120000 + 75000 + 40000 + 30000 + 100000 + 65000 + 30000 + 16000 = 476000/8 = 59500

median

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

16000   30000   30000   40000   65000   75000   100000   120000   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=(40000+65000)/2=52500

mode

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

16000   30000   30000   40000   65000   75000   100000   120000   

We see that the mode is 30000 .