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Cartoon Guide To Statistics And Chapter 3 Essay

¶ … Cartoon Guide to Statistics and Chapter 3 from Statistics in Plain English. You can assume your friend has read this material. The concept "standard deviation" refers to how close or how far from the mean (i.e. The average person or thing) certain things or people that are studied are. To give an example: let's say you're studying people's pattern of diet and their calorie consumption per day. The mean stands for the average calorie consumption of the average amount of people studied. Study of the typical consumption will probably turn out to be normally distributed with most results clustered around the mean. Some people, however, may eat a lot less or a lot more and their distribution will be further away from the mean than that of others.

In the above shape (the normal bell structure), the standard deveiaiton (SD) is small because all clusters are obviously...

One skewed to the right or skewed to the left shows you where the tendency of the studied people leans to. If the curve were flatter and more dispersed, you will be able to see how spreads out the studied examples are from the average.
Part II: Show how to calculate the standard deviation from a small (15 -- 30 observations) set of data and interpret the value in the context of the problem. You should walk them through using the calculator and understanding the number which is produced rather than using the "by hand" formula.

Let's say we have 15 observations. (1) We total the sum of these 15 observations. (2) We total the mean of these 15 observations (by adding all of the numbers of the set and dividing the total by the number of items in your set). (3) We subtract the mean from each number and square…

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(Example adapted from http://ncalculators.com/math-worksheets/empirical-rule-example.htm)

Part IV: Complete your discussion of the role of standard deviation by discussing its role in z-scores and normal distributions.

The standard normal deviation (as see the bell curve above) has a mean that is 0 and an SD that is considered 1 (i.e. one SD away from 0). The standard normal distribution is also called the z distribution. A z-score relates to the number of standard deviations that the person's score is above or below the mean. For instance, if a person scored a 70 on a test with a mean of 50 and a standard deviation of 10, the person scored 2 standard deviations (2*10) above the mean.
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