Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 8 - Section 8.4 - Measures of Dispersion - Exercises - Page 589: 6

Answer

Variance is 3.2 Standard deviation is 1.79

Work Step by Step

Step 1 First find the mean of the data set which is found by adding up all the numbers and dividing by the number of numbers. -3/2+3/8+-1+5/2=.375 .375/4=.09375 Mean equals .09375 Step 2 Variance is found by the equation $\frac{(s1−M)^2+(s2−M)^2}{N−1}$ Where s is the sample M is the mean and N is the number of samples So the final equation should look like $\frac{(-3/2−.09375)^2+(3/8−.09375)^2+(-1−.09375)^2+(5/2−.09375)^2}{4-1}$ Which equals 3.20 3.2 is the variance Step 3 to find the Standard deviation or Sd you take the square root of the variance $\sqrt (3.2)$ Which approximately equals 1.79 The Sd is 1.79
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