Compute the mean and median and mode
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.
- The file below contains Facebook penetration values (the percentage of the country population who are Facebook users) for 22 world’s largest economies:
|
56 |
57 |
43 |
55 |
42 |
35 |
|
6 |
31 |
28 |
59 |
20 |
27 |
|
7 |
25 |
42 |
17 |
43 |
|
|
36 |
45 |
80 |
57 |
56 |
- Compute the
mean andmedian andmode - Compute the first
quartile , the third quartile andinterquartile range . - Compute the variance, standard deviation, range and coefficient of variation and Z-Scores. Are there any outliers? Explain.
- Are the data skewed? If so, how?
- Construct a boxplot and describe its shape.
- Based on the results of (a) through (c), what conclusions can you reach concerning Facebook’s market penetration?
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