measures of central tendency.
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.
- For the following data
|
18 |
15 |
22 |
19 |
18 |
17 |
18 |
20 |
17 |
12 |
16 |
16 |
17 |
21 |
23 |
18 |
20 |
|
23 |
22 |
10 |
17 |
19 |
19 |
21 |
20 |
18 |
18 |
24 |
11 |
19 |
31 |
16 |
17 |
15 |
|
21 |
19 |
20 |
20 |
20 |
18 |
15 |
18 |
18 |
40 |
17 |
18 |
19 |
19 |
20 |
16 |
17 |
- Identify all possible lowest (first) class intervals you may use to organize your data.
- Select one of the possible lowest class intervals and prepare a grouped frequency distribution using reasonable width.
- Calculate all measures of
central tendency . - Determine Z score for the following data taken from the above distribution. Treat these scores as part of the above distribution: 18, 15, 40, 12 and 24.
- Determine T – score of the data in d.
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