Discuss the folloiwng:
Application Problems
1. For each case below, choose the most appropriate statistical procedure:
- A teacher of a low-level reading group is interested in what the average score is for the group of 25 students.
- An administrator wants to find out if there is a relationship between teacher absences and student achievement.
- A math teacher wants to know how many ability groups should be formed within a class of 30 students.
- A student teacher is interested in finding out the number of students who rate his performance as good, excellent, average, or poor.
1. attitudes toward school
2. grouping students on the basis of hair color
3. asking judges to rank order students from most cooperative to least cooperative
3. For the following set of scores, prepare a frequency distribution, a histogram, and a stem-and-leaf display for each variable. Also calculate the mean, the median, and the standard deviation of each score. Are there any outliers in the distribution? If so, what is the result if these scores are removed from the data set? Draw a scatter plot that illustrates the relationship between the two variables.
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Variable A: Attitude toward descriptive statistics (1 = low and 20 = high)
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Variable B: Achievement on test of knowledge of descriptive statistics
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Sam 12
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80
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Sally 10
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60
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Frank 19
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85
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Bob 8
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65
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Colleen 2
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55
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Isaiah 15
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75
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Felix 1
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95
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Dan 20
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82
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Robert 6
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70
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Jim 11
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88
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Michelle 3
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59
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Jan 7
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60
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Complete the following:
a. Find the following for Variables A and B: mean, median, mode, and standard deviation
b. Create a histogram for Variables A and B and create a scatter gram between Variables A and B
c. Compute the coefficient correlation between Variables A and B