Question

Fill in this table to find the standard deviation for this SAMPLE data.

Round your answer to two decimal places.

You must show all of your additional work in the box below and in the table to earn credit.

DATA
300
205
203
90
84
120

Answer 1

Answer)

First we need to find the mean

Mean = sum of the observations/number of observations

Mean = (300 + 205...)/6 = 167

Data. Data - Mean. (Data - Mean) (Data -mean)^2

300. (300 - 167). 133. 17689

205. (205 - 167). 38. 1444

203. (203 - 167). 36. 1296

90. (90-167). -77. 5929

84. (84 - 167). -83. 6889

120. (120 - 167). -47. 2209

Now we need to add (data points - mean)^2

= 17689 + 1444...

= 35456

Now we need to divide 35456 by number of observations - 1

= 35456/5

Now we need to take the square root

Standard deviation = √{35456/5} = 84.2093 = 84.21