Statistics Template

STATISTICS FOR BUSINESS:

Symbols

x = one individual score, or measurement

n = number of scores/measurements in the sample, or sample size

N = number of scores/measurements in the population, or population size

∑ = sum of (i.e., add all the values immediately following it)

x̄ = x-bar = sample mean

x̄w = x-bar-sub w = weighted mean

w = weight

u = mu = population mean

s = sample standard deviation

 = population standard deviation

s2 = s^2 = sample variance

2 = ^2 = population variance

z = z-score = number of standard deviations from the mean, a measure of distance along the x-axis under a normal distribution

ux-bar = u-sub-x-bar = mean of the sample means = u

t = t-score = number of standard deviations from the mean, a measure of distance along the x-axis under a t distribution

F = ratio of two variances; signifies the F-distribution

y = dependent variable

b0 = b-sub0 = y-intercept in a regression equation

b1 = b-sub1 = slope in a regression equation

χ² = chi-square

fij = f-sub i,j = observed frequency in a chi-square calculation

eij = e-sub i,j = expected frequency in a chi-square calculation

Tt = T-sub t = dependent variable in a time series

Formulas

(you can cut and paste these formulas directly into your test answers)

x-bar = ∑x ÷ n

x-bar-sub w = ∑ wx ÷ ∑w

s = square root of [∑(x – sample mean)^2 ÷ (n – 1)]

 = square root of [∑(x – population mean)^2 ÷ N]

s^2 = ∑ (x – sample mean)^2 ÷ (n – 1)

^2 = ∑ (x – population mean)^2 ÷ N

For determining the class interval width for a histogram:

Next unit value after

Width of = largest value in data - Smallest value in data

Class Interval Total number of class intervals

Binomial