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Frequently Used Statistics Formulas and Tables. Chapter 2. Class Width = highest value - lowest value (increase to next integer) number classes. Class Midpoint = upper limit + lower limit. 2 Chapter 3. = sample size. = population size. = frequency. Σ = sum. w = weight. ∑ x Sample mean: x = n. ∑. Population mean: μ = x. N.
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
Greek Statistical Symbols: Symbol Text Equivalent Meaning Formula Link to Glossary (if appropriate) D Alpha Type I error or Level of Significance. D = P [Rejecting the null hypothesis | Null hypothesis is true]. Hypothesis Testing
Symbols: Mo, Mdn, M, m, ∑, N. Learning Objectives: • Calculate various measures of central tendency—mode, median, and mean • Select the appropriate measure of central tendency for data of a given measurement scale and distribution shape • Know the special characteristics of the mean that make it useful for further statistical calculations.
To calculate the arithmetic mean of a set of data we must first add up (sum) all of the data values. (x) and then divide the result by the number of values (n). Since. is the symbol used to indicate that values are to be summed (see Sigma Notation) we. obtain the following formula for the mean ( ̄x).
STATISTICS 243 FORMULAS 3 Source: Rachel L. Webb, PSU, January 2018 Learning Center 1875 SW Park Avenue, Millar Library, Portland, OR 97201 503.725.4448 www.pdx.edu ...
observation mean score x Percentile: x zV P x If X has the N(P,V) distribution, then the variable V P X Z has the N(0,1) distribution. Normal Approximation to the Binomial Distribution If X has the B(n, p) distribution and the sample size n is large enough (namely np t10 and n(1 p) t10), then X is approximately N np, np(1 p) . Sample ...
