Standard Deviation-5

• Range- difference between highest & lowest value in a set of data

• Standard Deviation- a widely used measurement of variability or diversity in statistics

• Variation- a measure of change in data

DO NOT WRITE

• Standard Deviation

• Variance2 2

1

1( )

n

ii

x xn

2

1

1( )

n

ii

x xn

Graphing Calculator

• Enter lists of data just like central tendencies

• To calculate mean, variance, and standard deviation:

STAT->-CALC-1 VAR STATS-ENTER-2ND –STAT-NAMES 1-ENTER-ENTER

WHAT TO LOOK FOR

• Without clearing the calculator, enter the ENTIRE This will give you the variance.

#

tan

X ismean

x is s dard deviation

2( #)x

Find the mean, standard deviation, and variance.

• {5.6, 5.6, 5.7, 5.8, 5.8, 5.8, 5.9, 6.1}

• Range=• Mean( )=X

2( )

x

x

.5

5.7875

.1536025716

.02359375

Assignment