# Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.

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- In a survey, 24 IT professionals in Chicago were asked how much their annual salary was for the year 2012. The results are shown below:

$109,000 $ 65,000 $ 65,000 $ 59,000 $ 180,000 $ 101,325 $ 130,000 $95,000 $ 81,500 $69,000 $71,500 $ 74,880 $64,000 $72,000 $ 71,000 $ 82,300 $49,000 $51,200 $ 39,000 $48,500 $64,330 $ 41,100 $52,330 $82,000 - Construct a frequency distribution with 5 classes.
- Create a histogram of the data using the frequency table from question 1-a.

- A software company asked 100 of its programmers to develop a certain program individually. The following histogram shows the time it takes a programmer to finish the task:
- How many classes are there for the given histogram?
- What is the class width of the histogram?
- What percentage of programmers can complete the task in 30 hours?
- How many hours does it take the majority of the programmers to complete the task?

- Search the Internet for prices of 11 different laptops.
- Compute the mean, median, and mode of these prices.
- Find the first and third quartiles of the prices.

- In the following image, the memory usage of various processes of a computer running a Windows Operating System is shown:
- Create a scatter plot of the memory usage of the processes.
- Find the following measures of central tendency of the memory usage in kilobytes (Kb):
- Mean
- Mode
- Median

- Find the following measures of dispersion of the memory usage in Kb:
- Range
- Variance
- Standard Deviation

- Identify the values that are responsible for the variance of the dataset. Provide a possible solution on how the computer user could decrease the variance of his or her memory usage.

- Answer the following questions completely, using proper grammar, complete sentences, and correct terminology:
- Explain what it means to have a standard deviation of 0.
- Without doing any calculations, is it possible to tell which of the following 2 sets has a higher standard deviation? Explain your answer.
- Set 1 = {1,2,3,4,5,6,7,8}
- Set 2 = {2,4,6,8,10,12,14,16}

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