According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Table 4.1 Software Developers 56 54 54 49 61 48 58 60 59 53 50 58 55 57 52 Web Developers 47 50 46 47 48 49 46 55 44 42 ---- a) What is the third quartile of spending working hours for Software developers? b) Create a box plot for the number of hours worked for Software developers. c) Create a box plot for the number of hours worked for Web developers. d) Comment on the differences between the box plots for Software & Web developers.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers.
Table 4.1
|
Software Developers |
56 |
54 |
54 |
49 |
61 |
48 |
58 |
60 |
59 |
53 |
50 |
58 |
55 |
57 |
52 |
|
Web Developers |
47 |
50 |
46 |
47 |
48 |
49 |
46 |
55 |
44 |
42 |
---- |
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a) What is the third quartile of spending working hours for Software developers? |
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b) Create a box plot for the number of hours worked for Software developers. |
|
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c) Create a box plot for the number of hours worked for Web developers. |
|
|
d) Comment on the differences between the box plots for Software & Web developers. |
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