According to the ALADIN Solutions, developers generally spend more than 40 hours each week working on software and web development. The Table shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Software Developers 52 25 44 39 51 48 58 60 39 43 40 28 55 57 52 Web Developers 41 52 36 47 38 49 46 55 44 62 ---- a) What is the 2nd quartile of spending working hours for web developers? b) Create a box plot for the number of hours worked for web developers. c) Create a box plot for the number of hours worked for software 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 ALADIN Solutions, developers generally spend more than 40 hours each week working on software and web development. The Table shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers.
|
Software Developers |
52 |
25 |
44 |
39 |
51 |
48 |
58 |
60 |
39 |
43 |
40 |
28 |
55 |
57 |
52 |
|
Web Developers |
41 |
52 |
36 |
47 |
38 |
49 |
46 |
55 |
44 |
62 |
---- |
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a) What is the 2nd |
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b) Create a box plot for the number of hours worked for web developers. |
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c) Create a box plot for the number of hours worked for software developers. |
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d) Comment on the differences between the box plots for Software & Web developers. |
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There are various measures that tell about the dispersion of a data set. One of the measures of dispersion is Inter quartile range. It is computed by taking the difference of first quartile and third quartile. Interquartile range is the difference between the third quartile and first quartile . When values are ordered from lowest to highest interquartile range indicates the middle of the values. It is calculated by dividing the data set into quartiles.
Second median is also known as second quartile shows the observations that falls above 75% of the data set.
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