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## Notes: Chapter 8

by: Amanda Furtick

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# Notes: Chapter 8 ESC_PS 4170 - 06

Amanda Furtick
Mizzou
GPA 3.8

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These notes go over the basic concepts of chapter 8.
COURSE
Intro to applied statistics
PROF.
Beiner
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Statistics, Math
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Amanda Furtick on Tuesday September 27, 2016. The Class Notes belongs to ESC_PS 4170 - 06 at University of Missouri - Columbia taught by Beiner in Fall 2016. Since its upload, it has received 4 views. For similar materials see Intro to applied statistics in Math at University of Missouri - Columbia.

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Date Created: 09/27/16
Intro to Applied Stats: Chapter 8 Objectives: ● Describe the mean and median both verbally and algebraically ○ Mean, verbally: average of all scores in a distribution. Mean, algebraically: X bar = ΣX/n. So, X bar = X​ + X​ 1​X​ .2​/N. 3​bar is the mean, N is the number of scores, Σ is the verb directing us to sum the measures, X​ etc. is th1​individual scores. ○ Median, verbally: score in a distribution of scores, above and below which one-half of the frequencies fall. Median, algebraically: MDN​ location​N+1/ 2. Median for group frequencies: MDN = X​ + (i)(N/2 - ii​f​ )/ f​ ll​ i ● Discuss when it would be appropriate to report one or the other measure of central tendency ○ When, ideally, the mean, median, mode are identical, the distribution would be symmetrical and the mean would be the preferred stat to use. If the distribution is skewed, the mean would best represent the tendency. ● Discuss the mode ○ The mode is the number which re-occurs the most frequently. ● Explain how discrepancies between the mean and median affect skew ○ When the mean is higher than the median, the distribution is said to be positively skewed. When the mean is lower than the median, the distribution is said to be negatively skewed. Definitions: - Central tendency (average) = the index of central location employed in the description of frequency distributions. There are three measures: arithmetic mean, median, and mode. - Mean = arithmetic average of all scores in a distribution - Weighted mean = sum of the means of each group divided by their respective weights. X bar​w​ Σ(W x X bar)/ΣN - Median = score or potential score in a distribution of scores, above and below which one-half of the frequencies fall - Mode = the score which occurs with the greatest frequency

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