Question

The FDA requires to determine the average fat content in mgs of red meat imported from Brazil. 10 laboratories reported the following average fat content in mgs. Calculate the sample standard deviation to the nearest hundredths mgs.

Laboratory	Fat Content (mgs) X	X2
1	11.2
2	10.1
3	9.6
4	8.4
5	7.3
6	6.9
7	12.1
8	10.8
9	7.7
10	9.8

Answer 1

Laboratory	Fat Content (mgs) X
1	11.2
2	10.1
3	9.6
4	8.4
5	7.3
6	6.9
7	12.1
8	10.8
9	7.7
10	9.8

Mean Fat Content for all 10 samples, m = Sum of all fat contents / 10 = 93.9 / 10 = 9.39

Laboratory	Fat Content (mgs) X	(X - m)2
1	11.2	3.2761
2	10.1	0.5041
3	9.6	0.0441
4	8.4	0.9801
5	7.3	4.3681
6	6.9	6.2001
7	12.1	7.3441
8	10.8	1.9881
9	7.7	2.8561
10	9.8	0.1681

Now, (X - m)² = 27.729

Sample standard deviation,

So, s =

s =

s = 1.7552