A random sample of 25 Berkeley College students was asked, “How many hours per week typically do you work outside the home?” Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15} a. Find the mean, the median and the mode of hours worked outside the home for the sample data. Show all your work to justify your answer. b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent. Class Tally Frequency Relative Frequency 0-10 11-20 21-30 31-40 Total c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.
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.
A random sample of 25 Berkeley College students was asked, “How many hours per week typically do you work outside the home?” Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15}
a. Find the
b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent.
Class Tally Frequency Relative Frequency
0-10
11-20
21-30
31-40
Total
c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.
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