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 answer for subparts 3,4 and 5
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
answer for subparts 3,4 and 5
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