Do the range,variance and standard deviation part 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 (polygon/ line chart). Please give an interpretation to your results! Distribution of grades in the study course ”Marketing” Grades, xi Number of students, fi 1 0 2 0 3 1 4 2 5 4 6 6 7 10 8 5 9 3 10 1
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
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 (
Please give an interpretation to your results!
Distribution of grades in the study course ”Marketing”
|
Grades, xi |
Number of students, fi |
|
1 |
0 |
|
2 |
0 |
|
3 |
1 |
|
4 |
2 |
|
5 |
4 |
|
6 |
6 |
|
7 |
10 |
|
8 |
5 |
|
9 |
3 |
|
10 |
1 |
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