In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4, 3, 1, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 1, 5, 1, 1. Manually compute the mean, median, and range of this sample. Show work. (Round values to one decimal place)
10) The following data represent the bachelor degrees of some CEO's who work in the NYC area. Degree Number Accounting 19 Business 37 Liberal Arts 55 Marketing 44 Other 7
a) Find the mode of the frequency distribution above:
11) Find the population standard deviation manually. Show work. (Round values to one decimal place) The data set is: { 4, 1, 8, 7, 12, 10, -4 }
12) A student receives test scores of 62, 83, and 91. The student's final exam score is 88 and homework score is 76. Each test is worth 25%, the final exam is 30% and the homework grade is 20%. Notice that the total score is 125%. What is the student's mean score(e.g. final grade) in the class? (Round answers to 2 decimal places. Show work)
13) Test scores for a history class had a mean of 77 with a standard deviation of 4.4. Test scores for a physics class had a mean of 61 with a standard deviation of 4.1. Suppose a student gets a 85 on the history test and a 74 on the physics test. (Round answers to two decimal places)
(a) Calculate the z-score for each test. Label each score properly:
(b) On which test did the student perform relatively worse? (Credit only if part (a) is correct)
14) The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28
a) Using a calculator find Q1, Q3, median and IQR
b) Determine the lower and upper fences. (Show work)
(b) Identify the outliers (if any) in this set
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