Question
In: Statistics and Probability
1. You have the following raw data of test scores: 88, 84, 89, 81, 50, 98,...
1. You have the following raw data of test scores:
88, 84, 89, 81, 50, 98, 72, 79, 68, 81, 85, 86, 80, 84, 57, 71, 60, 86, 81, 71, 84, 60, 85, 85, 84:
Create a frequency table with:
absolute frequencies
relative frequencies (percentages)
cumulative frequencies
cumulative percentages
2. What is the percentile rank of a score of 60 in this distribution? What is the percentile rank of a score of 88?
3. What is the test score which marks the 75th percentile? What is the test score which marks the 20th percentile?
4. Assume that partial credit/point fractions can be awarded for these raw test scores that you are working with.
What are the measures of central tendency for this distribution --please provide the numbers.
Which of them is/are appropriate to use in this instance, and why? Which measure would you use, and why?
Solutions
orchestra answered 2 years agoRelated Solutions
93 95 93 81 88 88 84 75 89 81 92 91 83 78 88 77...
93
95
93
81
88
88
84
75
89
81
92
91
83
78
88
77
95
94
90
94
80
84
95
87
92
92
94
84
83
89
84
87
78
99
97
79
93
83
76
92
96
77
52
89
95
76
87
92
80
70
94
90
93
83
88
89
95
87
88
96
92
87
96
93
96
81
93
76
78
96
96
84
89
91
92
87
91
90
86
88...
Performance Data Group Test 1 Test 2 1 96 85 1 96 88 1 91 81...
Performance Data
Group
Test 1
Test 2
1
96
85
1
96
88
1
91
81
1
95
78
1
92
85
1
93
87
1
98
84
1
92
82
1
97
89
1
95
96
1
99
93
1
89
90
1
94
90
1
92
94
1
94
84
1
90
92
1
91
70
1
90
81
1
86
81
1
90
76
1
91
79
1
88
83
1
87
82
0
93
74
0...
Determine the 95% confidence interval for the following scores: 83, 92, 81, 87, 79, 93, 88,...
Determine the 95% confidence interval for the following scores:
83, 92, 81, 87, 79, 93, 88, 87, 83. Hint: You will need to
determine the sample mean and standard deviation and then construct
your confidence interval around these.
1. The following data represent the scores on a test for 36 students in a Sociology...
1. The following data represent the scores on a test for 36
students in a Sociology class, followed by a stem plot for the
data.
65 76 83 81 74 78 41 57 82 50 90 81 63 68 80 85 76 73 79 48 80 75
72 70 75 74 94 87 81 78 64 83 77 72 79 86
4 1 8 5 0 7 6 3 4 5 8 7 0 2 2 3 4 4 5...
You have shorted 10 shares in a company at $98. The initial margin was 50% and...
You have shorted 10 shares in a company at $98. The initial
margin was 50% and the maintenance margin is 30%. A few days after
the transaction, the company paid $0.6 dividends and after another
few days, the shares price went to $110. What is your percentage
margin? Provide your answer in percent, rounded to two decimals,
omitting the % sign.
You are testing the change in test scores following an intensive tutoring session. You have the...
You are testing the change in test scores following an intensive
tutoring session.
You have the following data from a small group of students each
student is tested before and after the tutoring session.
Each row represents one student.
|Time 1 |Time 2|
|---------|------|
|65 |77 |
|87 |100 |
|77 |75 |
|90 |89 |
|70 |80 |
|84 |81 |
|92 |91 |
|83 |96 |
|85 |84 |
|91 |89 |
|68 |88 |
|72 |100 |...
2. The following represents 50 test scores on an exam. 49, 48, 51, 50, 53, 52,...
2. The following represents 50 test scores on an exam.
49, 48, 51, 50, 53, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62,
65, 64, 67, 66, 69, 68, 71, 70, 73, 72, 75, 74, 77, 76, 79, 78, 81,
80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 90, 93, 92, 95, 94, 97,
96
Find the position of the median
Find the 67th percentile
The following data set represents the test scores of the freshmen on the first in a...
The following data set represents the test scores of the
freshmen on the first in a statistics course at a local
university.
62 67 74 48 100 93 49 57 77 63 82 10 78 88 99 44 51 80 71 39 58
76 89 94 70 41 66 82 18 73
a. Calculate the z-score for the observation 63 and interpret
it.
b. Find the median of the data set.
If the z-score for an observation is -1.22, the...
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and...
Sibling IQ Scores (Raw Data, Software
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example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.05significance level. You may assume
the sample of differences comes from a...
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and...
Sibling IQ Scores (Raw Data, Software
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There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.01 significance level. You may
assume the sample of differences comes from...
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