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by: Felicia Hyde

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# Math 124-08 chapter 1 notes MATH 124

Marketplace > San Francisco State University > Math > MATH 124 > Math 124 08 chapter 1 notes
Felicia Hyde
SFSU

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-populations vs. samples -quantitative vs. qualitative data -frequency distribution & table
COURSE
Elementary Statistics
PROF.
Vera Klimkovsky
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
elementary statistics
KARMA
Free

## Popular in Math

This 3 page Class Notes was uploaded by Felicia Hyde on Friday September 9, 2016. The Class Notes belongs to MATH 124 at San Francisco State University taught by Vera Klimkovsky in Fall 2016. Since its upload, it has received 5 views. For similar materials see Elementary Statistics in Math at San Francisco State University.

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Date Created: 09/09/16
Elementary Statistics Math 124-08 Vera Klimkovsky 24 August 2016 Chapter 1: Picturing Distributions with Graphs 1) Terminology & Definitions: a) Statistics - mathematical science of data collection, data summary & organization, analysis & interpretation, conclusions drawing & decision making b) Data - collection of #’s, characters & images c) Individuals - who the data describes d) Variables – characteristic of interest of individual e) Observations – set of measurements obtained for particular individual i) Ex: n = 138 observations ( sample size) 2) Population Vs. Sample Population: Sample: -complete collection of individuals to -a part or subset of the population of be studied (contains all individuals of interest interest) -a statistic is a numerical measurement -a parameter is a numerical that describes a characteristic of a measurement that describes a sample characteristic of a population Ex: sample mean Ex: population average sample standard deviation Population standard deviation 3) Data Type : Categorical Vs. Numerical Categorical (Qualitative): Numerical (Quantitative): -data are labels or names used to -data are numeric values that identify an attribute of each indicate how much or how many individual -always numeric -may be numeric or non-numeric Ex: 65mph, 69in, 158 lbs Ex: 1 represents male 2 represents female How can you tell or display data that is qualitative or quantitative? Display with: Categorical (Qualitative): Numerical (Quantitative): -Bar graph (equal space between -Histogram (no space between bars/categories) bars/categories) -Pie chart -Frequency Polygon OGIVE ( Cummulative frequency polygon) -Dot chart -Stem plot -Box plot -Dot plot 4) Frequency Distribution (counts) - lists data values ( either individual or grouped into classes) along w/ their # of occurrences (freq. counts) - can be shown through a table or graph/chart - ex: categorical variable --- area of employment a) Relative Frequency Distribution (%) - simply a frequency distribution showing the fraction (proportion) of data in each category or class f = 72 n = 251≈ ≈ .286 = 29% - ex: numerical variable = age of employment i) Guidelines for grouping quantitative data into frequency: (1) Decide # of classes ( 5-20 recommended) depend on size (2) Divide range of data into classes of equal with (3) Classes should not overlap, that is each individual falls into one class b) Frequency Table Ex: 15- under 21 BMI # of women 15-20.9 4 21-26.9 10 27-32.9 6 33-38.9 2 39-44.9 1 N = 23 8) Dot Plot Data: 2 2 3 3 5 3 5 Ex: 1 2 3 4 5 9) Stem Plot Data: 7 17 28 38 8 18 33 43 Display: 0 │ 7 8 1│ 0 1 4 7 8 0 │ 7 8 (0, 7, 8) 2 │ 0 0 1 4 8 1│ 0 1 4 7 8 (10, 11, 14, 17, 18) 3 │ 0 3 8 *Helps you indentify the spread of data Spread: 7 (min) to 64 (max) Median (Midpt. = center) N = 22 → 11 (left) & 11 (right) average: in 24 & 28 = 26

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