# Descriptive Statistics and Measures of Central Tendency

For my personal study guide.

Refer to the enclosed chart which represents 10 days and the number of questions asked in the AM and PM on Day 1 through Day 10. Given the data answer the following:

1. Calculate and report the mean, median, and mode of the data.

2. Now calculate the standard deviation of the data. For this calculation compute the difference between each one of the observations and the mean, (this number may be positive or negative), then multiply each of these differences by itself, then add all of these products, and finally divide the sum total by the number of observations. You'll get the "VARIANCE". Now take the square root of this number and you get what is called the "STANDARD DEVIATION" that measures the dispersion of the data from their mean.

3. Label the "Variance" and the "Standard Deviation"

DAY AM (Number of Q's) PM (Number of Q's)

1 6 4

2 4 5

3 1 7

4 3 2

5 8 1

6 2 5

7 4 7

8 1 1

9 3 6

10 7 12

~Please show your work, so I understand the concept.

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#### Solution Summary

The solution provides step by step method for the calculation of descriptive statistics. Formula for the calculation and Interpretations of the results are also included.