W-up ch 4 stuff For #1-2 determine if the following are the final tableau. If it is state the solution, if not circle the pivot element. P x1S2x1S2 BV P x 1 x 2 s 1 s 2 RHS 1. P S1x2S1x2 BV P x 1 x 2 s 1 s 2 RHS 2. 3.Write the dual problem of the minimum problem C = 2x 1 + 3x 2 Subject to x 1 + x 2 > 2 2x 1 + 3x 2 > 6 x 1 > 0 x 2 > 0

9.5 Measure of Dispersion Find the standard deviation for sample data Find standard deviation for grouped data The extent to which scores are spread out Range: difference between largest and smallest value Variance – a measure of deviation from the mean Two types Population Variance and Sample Variance

How are they alike? How are they different? When do you use which one?

Ex1: calculate sample variance for the set S: 4, 6, 8, 10, 12, 14, 16

Standard Deviation of SAMPLE DATA

Standard Deviation for GROUPED DATA

Ex 2: given the set of data, find the standard deviation Class intervalfreq 0 – 32 4 – 75 8 – – – 193 Sum (total)

Standard Deviation on Calculator STATEDITSTATCALC1-VAR STATS

Ex 3: use you calc to answer following questions At the end of the 2003 spring training, the ages of the 34 men on the 2002 World Series champion Anaheim Angel roster are A) find range B) find standard deviation assuming sample data C) find standard deviation assuming population data D)Decide whether the data is sample or population. Give reason 35, 27, 32, 22, 24, 30, 33, 30, 33, 21, 29, 22, 27, 28, 33, 28, 33, 30, 29, 25, 30, 25, 27, 25, 30, 26, 27, 30, 30, 29, 28, 32, 34,

Using your calc to find standard deviation for grouped data Put MIDPOINTS of each class interval in L1 Put FREQUENCY of each class interval in L2 Go to You get L1, L2, etc by pushing TA-DA there is your standard deviation Lets try with data from EX 2 of our notes STATCALC1-VAR STATS L1, L2 2nd1 or 2 etc

homework 3, 5, 7 BY HAND show work 11,13 USE CALC