Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.
- 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):
- 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}