H564 10 06 7. 9. 380 12 4. 09 5. 4. 280 8 6. 430 06 9. 3. 6. 2 8. 340 5. 5. 450 180 250 Hours online/week Friends
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.
7. For the Facebook data provided, find the the
To find the range, variance, standard deviation, and interquartile range for hours online/week and number of friends in the sample using appropriate Excel function.
Enter the data in Excel as follows:
Using Excel function "=MAX((A2:A22)-MIN(A2:A22))", Range for hours online/week is obtained as : 10
Using function "=MAX((B2:B22)-MIN(B2:B22))", Range for number of friends is 400
Sample variance for hours online/week is obtained using the formula "=VAR.S(A2:A22)".
Value obtained is 6.657142857 6.6571
Sample variance for number of friends is obtained using the formula "=VAR.S(B2:B22)".
Thus, the variance of number of friends is 18129.0476
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