Stats 1040 final

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class width
Relative frequency

P(x)
Frequency polygon

use midpoints, line graph, make sure each end of line is touching x-axis by adding more classes.
Frequency histogram

bar graph, use midpoints, bars are touching
Pareto Chart

bar graph, bars aren't touching because it isn't numerical data.
Empirical Rule

68, 95, 99.7
Mean

Σ(x·f) / Σf
Standard Deviation

Square root ( )
IQR

Q3-Q1
Outliers

(1.5·IQR)+Q3
Ogive (cumulative frequency graph)

use class boundaries (little bit below actual class) and cumulative frequency, line graph
Chebychev's theorem

= at least how many outcomes
Percentile

number of values below given value
P(x or y)

P(x) + P(y)
P(x and y)

P(x) · P(y)
defective units and what not

number of good C number of good wanted x number of bad C number of bad wanted.

For probability divide by number of total units C number of units wanted.
P(x) - binomial distribution

P(x) =
Mean- given probability distribution

mean= Σ(x·p(x))
Standard deviation- given probability distribution

square root (Σ((x-mean)^2·P(x)))
z-score
mean- binomial distribution

n · p
standard deviation- binomial distribution

square root (n · p · q)
equation of regression line
correlation coefficient (r)
- -1<0<1
- negative # means negative correlation
- positive # means positive correlation
- Closer the number is to zero the weaker the correlation.
- And the closer the number is to -1 or 1 the stronger the correlation