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INTRODUCTION TO STATISTICAL ANALYSIS. LEARNING OBJECTIVES: After studying this chapter, a student should understand: notation used in statistics; how to represent variables in a mathematical form for statistical purposes; how to construct frequency distributions, histograms, and bar graphs;
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where with d.f. = 1 Hypothesis Test with . . 1 d d d d dE d E s Et n n d t df n s n α µ µ −+ =− − = = − Two Sample Variances 22 2 2 12 2 22 1 11 2 2 2 2 2 1 2 2 2 12 2 12 Confidence Interval for and 11 Hypothesis Test Statistic: where numerator . . 1 and denominator . . 1 right left ss ss FF s F ss s df n df n σ σ σ σ • << •
Introductory Statistics ... 3
1 ••• Master List of Formulas Chapter 1 IntroduCtIon and desCrIptIve statIstICs NONE. Chapter 2 FrequenCy dIstrIbutIons In tables and Graphs Σx (Frequency) Σx n (Relative frequency) Σx n × 100 (Relative percent) Chapter 3 summarIzInG data: Center tendenCy µ= Σx N (Population mean) M = Σx n (Sample mean) M Mn w n = Σ × Σ (Weighted sample mean) Chapter 4 summarIzInG data: varIabIlIty
1.1 The Mean, Median and Mode. When given a set of raw data one of the most useful ways of summarising that data is to find an average of that set of data. An average is a measure of the centre of the data set. There are three common ways of describing the centre of a set of numbers.
Sample Statistics Sample mean ̅= 1 ... 𝑖=1 = ∑ 𝑖 2− ̅2 −1 Sample standard deviation =√ 2=√ 1 −1 ∑( 𝑖− ̅)2 𝑖=1 5-Number summary ... Stat 101 Formulas Brian Powers, Summer 2014 Probability Complement Rule
