Chapter 3

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Measure of center

the value at the center or middle data set
E

sum of a set of values
x

the variable for individual data values
n

number of data values in a sample
N

represents the number of data values in a population
bimodal

two modes
multimodal

more than two modes
midrange
- maximum value + minimum value
- ____________________________
- 2
decimal point rule for measures of center

carry one more decimal place than is present in the original set of values
Measures of center
- mean
- median
- mode
- midrange
variance is

s2 standard diviation squared
Range rule of thumb

Minimum "usual" value = (mean) - 2 x (standard deviation)

Maximum "usual" value = (mean) + 2 x (standard deviation)
Range rule of thumb for estimating a value of the standard deviation s To roughly estimate the standard deviation from a collection of known sample data use
To roughly estimate the standard deviation from a collection of known sample data use
- s = range
- -------
- 4
Empirical rule
- For bell shaped distributions
- 68-95-99.7
Chebyshev's Theorem

1-1/k2
CV
- cv= s X 100%
- ---
- __
- X
z score is rounded to

2 decimal places
z score

z= x- mean devided by s
percintile of value x

percentile of value x= number of values less than x devided by total number of values multiplied by 100
Converting from the kth percentile to the corresponding data value

Locator = K (percentile being used) devided by 100 multiplied by n (total number of values in the data set)