Why do we use standard deviation? Why do we use averages?
Not what you're looking for?
Define standard deviation. Define mathematical averages. Why is the standard deviation less than the mathematical average? Why do we use standard deviation? Why do we use a mathematical average?
Purchase this Solution
Solution Summary
Your tutorial is 361 words plus a diagram to give you a visual. This is a theoretical discussion (no computations or equations) suitable for a novice as it is in everyday language.
Solution Preview
Define standard deviation
The standard deviation is the spread of the data around the mean. Here is a visual using a normal distribution (symmetrical shape of data):
See attached for diagram
Standard Deviation vs Mathematical Averages
Define standard deviation. Define mathematical averages. Why is the standard deviation less than the mathematical average? Why do we use standard deviation? Why do we use a mathematical average?
Define standard deviation
The standard deviation is the spread of the data around the mean. Here is a visual using a normal distribution (symmetrical shape of data):
See attached for diagram
In the distribution to the left, the standard deviation is larger with data falling farther away from the mean than in the data distribution to the right.
Define mathematical averages
The math average is just all the data points added up and divide by the number of data points. This average is the mean (center of the distributions above).
Why is the standard deviation less than the mathematical average?
The standard deviation is how far away from the mean most of the data points occur. Some will be close and some will be far. The degree of dispersion is the standard ...
Education
- BSc, University of Virginia
- MSc, University of Virginia
- PhD, Georgia State University
Recent Feedback
- "hey just wanted to know if you used 0% for the risk free rate and if you didn't if you could adjust it please and thank you "
- "Thank, this is more clear to me now."
- "Awesome job! "
- "ty"
- "Great Analysis, thank you so much"
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.