Range Variance Standard deviation [indicates with mean: if the data distribution is normal, 68% of the data is within 1 standard deviation; 95% is within 2 standard deviations, 99.7% is within 3 standard deviations]
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.
Do the last 3 parts
Calculate following statistics to following data:
- Mean
Median Mode Range - Variance
- Standard deviation [indicates with mean: if the data distribution is normal, 68% of the data is within 1 standard deviation; 95% is within 2 standard deviations, 99.7% is within 3 standard deviations]
Visualise the distribution (histogram/ column chart).
Please give an interpretation to your results!
Time to come to work, min
|
Time, min, xi |
Frequency, fi |
|
0-10 |
10 |
|
10-20 |
25 |
|
20-30 |
80 |
|
30-40 |
95 |
|
40-50 |
20 |
|
50 and more |
5 |
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