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Study Guide-Test 1- Chapter 1-5

by: Sarah Notetaker

Study Guide-Test 1- Chapter 1-5 Math 124

Marketplace > San Francisco State University > Math > Math 124 > Study Guide Test 1 Chapter 1 5
Sarah Notetaker

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About this Document

This is a basic study guide for Chapter 1-5. Study guide on Chapter 8 & 9 are to come soon.
Elementary Statistics
Study Guide
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This 2 page Study Guide was uploaded by Sarah Notetaker on Wednesday October 12, 2016. The Study Guide belongs to Math 124 at San Francisco State University taught by in Fall 2015. Since its upload, it has received 26 views. For similar materials see Elementary Statistics in Math at San Francisco State University.


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Date Created: 10/12/16
Stats: Midterm Notes Individuals: Objects described by a set of data. People, animals, or things. Variables:Any characteristics of an individual. Can take different values for different individuals. Race, etc. Categorical variable: places an individual into one of several groups or categories. Ex. Gender. Quantitative variable: Takes numerical values for which arithmetic operations such as adding or averaging make sense. Age, height, salary, etc. Quartiles: Q0 = minimum Q1 = first quartile = median of the bottom 50% of the data Q2 = median Q3 = 3rd quartile = median of the top 50% of the data Q4 = maximum Outlier equation: - Find IQR: Interquartile Range: Q3 - Q1 - Interval equation: (Q1 - 1.5 * IQR, Q3 + 1.5 * IQR) Anything outside of those numbers are the outliers Range = maximum - minimum μ = population mean σ = standard deviation N(μ, σ) Empirical rule (68-95-99.7) About 68% of the data will fall within 1 standard deviation from the mean (μ - σ, μ + σ) About 95% of the data will fall within 2 standard deviations from the mean (μ - σ*2, μ + σ*2) About 99.7% of the data will fall within 3 standard deviations from the mean (μ - σ*3, μ + σ*3) Reminder: Everything in the table A chart is the area to the left: z< a number If something is z > a number, you must find the right by subtracting 1 - that number from the chart In between proportions: - Find Z score for both numbers that you must find the in between values of: Z = X - μ / σ - Find on table A the two values - Subtract the two values - The resulting number is the answer Ex. Find in between 85 and 125 Mean = 100 SD = 15 Above number proportion: Ex: What proportion is above 130? Mean: 100 SD: 15 Find r (correlation) (will always be between -1 and 1) by calculator STAT; Edit; enter; input the numbers; STAT; calc; down to LinReg (Ax+B); make sure X list is L1 and Y is L2; calculate; Not r2, but r. Sample Variance: (number - mean <plus each number - mean>, squared/ how many numbers there are, minus one) Ex: Find Sx and Sy: Exact same thing as sample variance equation, but square root the answer. Least square regression line: y^hat = mx+b Slope = m = r*Sy/ Sx Y intercept = b = mean of Y - slope, times mean of X Residual: Y - Y^hat


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