Level of hostility No. of Professionals 0-1 4 2-3 11 4-5 8 6-7 20 8-9 25 10-11 12 a)Calculate the mean, mode, standard deviation, co-efficient of variation, Pearsons 1st measure of skewness b) interpriet the results of your calculations in part a
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.
| Level of hostility | No. of Professionals |
| 0-1 | 4 |
| 2-3 | 11 |
| 4-5 | 8 |
| 6-7 | 20 |
| 8-9 | 25 |
| 10-11 | 12 |
a)Calculate the mean,
b) interpriet the results of your calculations in part a
| Level of hostility | No. of professionals (f) | Mid value (x) | f*x |
| 0-1 | 4 | 0.5 | 2 |
| 2-3 | 11 | 2.5 | 27.5 |
| 4-5 | 8 | 4.5 | 36 |
| 6-7 | 20 | 6.5 | 130 |
| 8-9 | 25 | 8.5 | 212.5 |
| 10-11 | 12 | 10.5 | 126 |
f*x = 2+27.5+36+130+212.5+126 = 534
f = 4+11+8+20+25+12 = 80
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