Milly’s 20 quizzes scores 5.5 9 6 8 5 5.5 9.5 6 9 6 1 6 10 8.5 8 4 10 8 9 6 Billy’s 19 quizzes scores 6 7 5 7 8 6 8 6 8 9 6 6.5 7 7 8 6 8.5 7.5 6.5 c) find out what the mean value is for Milly and Billy respectively. d) find out what the Mean Absolute Deviation (MAD) is for Milly and Billy (Accurate to the 2 d.p.) e) find out what the Standard deviation (SD) is for Milly and Billy respectively. (Accurate to the 2 d.p.)
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.
Milly’s 20 quizzes scores
|
5.5 |
9 |
6 |
8 |
5 |
|
5.5 |
9.5 |
6 |
9 |
6 |
|
1 |
6 |
10 |
8.5 |
8 |
|
4 |
10 |
8 |
9 |
6 |
Billy’s 19 quizzes scores
|
6 |
7 |
5 |
7 |
8 |
|
6 |
8 |
6 |
8 |
9 |
|
6 |
6.5 |
7 |
7 |
8 |
|
6 |
8.5 |
7.5 |
6.5 |
c) find out what the
d) find out what the Mean Absolute Deviation (MAD) is for Milly and Billy (Accurate to the 2 d.p.)
- e) find out what the Standard deviation (SD) is for Milly and Billy respectively. (Accurate to the 2 d.p.)
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