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UTC / Math / MATH 2100 / Explain the properties of standard deviation?

Explain the properties of standard deviation?

Explain the properties of standard deviation?

Description

School: University of Tennessee - Chattanooga
Department: Math
Course: Introductory Statistics
Professor: Aniekan ebiefung
Term: Fall 2016
Tags: coefficient, variation, chebyshev's, theorem, variance, empirical, and rule
Cost: 25
Name: Introductory Statistics, Week 3 Notes
Description: These notes cover the remaining notes for chapter 3 that was on our last test.
Uploaded: 09/18/2016
2 Pages 253 Views 0 Unlocks
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Population Standard deviation Don't forget about the age old question of How does weight differ from mass?

        

  • properties of Standard deviation
  • always positive
  • has the same unit as data values
  • Sensitive to extreme values

  • Range Rule of Thumb

> if distribution is symmetric and bell-shapedIf you want to learn more check out What is the law of diminishing marginal utility?

Usual Values

  • values that are not too extreme
  • max usual value = mean + 2(s) Any value outside these are too extreme
  •  min usual value = mean-2(8) Any value outside these are too extreme

  • Variance: the square of the S. Deviation

        We also discuss several other topics like What is the value that the seller is willing to sell their goods or services for?

Properties

  • always positive
  • a squared unit original data is cm

Don't forget about the age old question of What is a set of theory?

Empirical rule: *only for bell shaped distribution..

  • 68% of values fall between 1 standard deviation of the mean

  • 95% of values fall between 2 standard deviation of the mean

  • 99.7% of values fall within 3 standard deviation of the mean

If you want to learn more check out What are the formulas in stoichiometry?

Don't forget about the age old question of What do we call the rough assessment of how credible a claim seems to us?

.

Ex6)                         percentage of scores between 70 and 130

        K = 1

        K = 2

        K = 3

100

or

        

Chebyshev's Theorem

  • For any distribution
  • the proportion of any set of data lying within k

Standard deviations of the mean is at least , where k > 1

                                               at least

Coefficient of Variation

        Sample cv =

        Pop. cv =

33        40        47        54        61        68        75

33        80        376        54        1037        2584        2475

                                                18562

        

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