Compare the distributions of scores. How are students distributed across the range of scores? Are the scores higher in math or verbal ability? Can you please show details and formula? Math Test 67 45 68 70 72 85 90 99 50 73 77 78 52 66 89 75 Verbal Test 89 90 78 77 75 70 56 60 77 78 80 92 98 72 77 82
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.
Compare the distributions of scores. How are students distributed across the
Math Test
|
67 |
45 |
68 |
70 |
|
72 |
85 |
90 |
99 |
|
50 |
73 |
77 |
78 |
|
52 |
66 |
89 |
75 |
Verbal Test
|
89 |
90 |
78 |
77 |
|
75 |
70 |
56 |
60 |
|
77 |
78 |
80 |
92 |
|
98 |
72 |
77 |
82 |
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