Standard+Deviation+Lesson

How about this for our response on the class wiki? I edited from Lorrie's answers below: (LG) - word count 181, in the 150-200 range as requested.

Standard Deviation is a measure of variability that helps to understand that an average mean is not always the best measurement of differences between two variables; to describe how far the data are spread around a mean; the mean cannot fully describe a set of data. Standard Deviation uses the square of the distance to the mean and provides a more reliable way to interpret the differences between two variables than just adding all the points from the mean together.

A large standard deviation indicates that the data points are far from the mean and a small standard deviation indicates that they are clustered closely around the mean. It may indicate the precision of measurements if the mean of the measurements is too far away from the prediction (with the distance measured in standard deviations). If this occurs, the theory being tested probably needs to be revised.

Our team will use standard deviation with our data analysis. From reviewing the raw data, it appears that the respondents answered questions relating to the barriers of purchasing green cleaning products as we predicted. I'm good with it (Gina)

Here is a summary of the exercise using the goals/objectives listed at the beginning:  I think Lorrie's answers sum it up (nice job, Lorrie!). I added a statement below for how the team will use this in our data. Feel free to edit. (LG)

**1. ****Why you need a measure of variability.** A measure of variability helps to understand that an average mean is not always the best measurement of differences between two variables; to describe how far the data are spread around a mean; mean cannot fully describe a set of data standard deviation uses the square of the distance to the mean and provides a more reliable way to interpret the differences between two variables than just adding all the points from the mean together. · Calculate the mean. · For each data point, subtract the mean to give the difference. · Square each difference (multiply it by itself) to give the squared differences. · Add all of the squared differences together, to give the sum of squared differences. · Divide the sum of squared differences by the number of points, to give the mean squared difference, or variance. · <span style="font-family: 'Arial','sans-serif';">Take the square root of the variance to give the standard deviation. <span style="font-family: 'Arial','sans-serif';">**4.<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> ****How to interpret and use the standard deviation.** A large standard deviation indicates that the data points are far from the mean and a small standard deviation indicates that they are clustered closely around the mean. may indicate the precision of measurements if the mean of the measurements is too far away from the prediction (with the distance measured in standard deviations), then the theory being tested probably needs to be revised. Stock – standard deviation can help with comparing data – with stock an increased variability in the price of stock over a period time – predicts the level of risk Salaries Height/weight
 * 2.<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> ****Why the standard deviation is a good measure of the average distance to the mean.**
 * 3.<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> ****How to calculate the standard deviation and variance.**
 * 5.<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> ****Every-day examples of the standard deviation.**

If our data has a lower standard deviation, it will prove our research question, that we correctly identified the factors that deter consumers that live a green lifestyle from purchasing green cleaning products. <span style="color: rgb(50, 50, 236);">which data are we talking about here? gm Data relating to the five factors that prevent purchasing - advertising, cost, availability, etc. - the likert scaled responses LG
 * How the team will use standard deviation with our data analysis (LG):**