EDUC 101 - Assignment 3

Measures of Central Tendency and Dispersion

Name:______________________________

1.A manufacturing company pays its 300 employees an average (mean) daily salary of P250, a second manufacturing company pays its 400 employees an average daily salary of P275, and the third manufacturing company pays its 600 employees an average daily salary of P300 .Find the average daily salary per employees in the three manufacturing companies.

2.Consider data set: 8, 3, 3, 7, 5, 9, 10, 4, 5, and 6

a.Find the mean.

b.Add 5 to each number in the data set above, and find the new mean.Compare the mean of the new data set with the mean of the original data set. Give your interpretation.

c.Multiply by 8 each number in the data set.Compute the new mean.Compare the mean of the new data set with the mean of the original data set.Give your interpretation.

3.The course requirements and their respective weights in a major subject in statistics are as follow as follows:midterm exam (30%), assignment (15%), research paper (25%), and final examination (30%).The highest score a student may get for each requirement is 100.If Joel has scores of 80 for the midterm exam, 85 for the assignment, 90 for the research paper and 85 for the final exam, find his average score for the subject.

4.Given arethe number of protected areas by region in the Philippines: 4, 1, 5, 5, 8, 17, 9, 4, 7, 5, 3, 4, 3 and 9.Find the mean, median and the modal number of protected areas.

5.Suppose the weights of male adults are known to have a normal distribution with mean 70 kg and a standard deviation of 12 kg.

a.What are the two values that will enclose at least 75% of the population figures using the Chebyshev rule.

b.If there are 200 male adults, how many male adults are contained within the +-3SD