Five number summary 57 67 68 69 72 75 76 79 80 81 83 85 92 94 Mean Range Mid-Range Standard Deviation
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.
Five number summary
57 67
68 69
72 75
76 79
80 81
83 85
92 94
Range
Mid-Range
Standard Deviation
Find the z- score for test scores of 70 and 90
What percent of students earned “A” Grade of 90 or Higher?
What percent of students earned a passing Grade of 70 or Higher?
(Section 2) Use Empirical Rule for the following questions 1 -3
Test #2 Scores had a Mean of 83 and a Standard Deviation of 6
1. What percent of the scores fell between 71 and 95?
2. What percent of scores that were above 77?
What percent of scores were below 71?
3. What percent of the scores fell between 65 and 77?
(Section # 3)
4. Shade under the curve where
5. Find a table percentage for z = 1.2
Test # 3 Scores had a Mean of 82 and a Standard Deviation of 5
6 . Find a z score for x = 81 and x = 68
z– score for 81 z– score for 68
7. Find the percent of scores that were above 86. Z score for 86
Table score for 86
Shade the desired section under the Standard Normal curve. Where the scores are greater than 86
Find the percent of scores that were above 86.
8. Find the percent of scores between 68 and 81
9. Find the percent of scores between 87 and 98
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