Question

The following data represent the concentration of dissolved organic carbon​ (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts​ (a) through​ (c) on the right.

5.20
8.81
30.91
19.80
29.80
22.49
14.86
14.86
27.10
20.46
17.50
8.09
16.51
14.90
15.35
15.72
11.90
33.67
9.72
18.30

​(a) Find the sample mean.

The sample mean is

17.8017.80.

b) Find the sample standard deviation.

The sample standard deviation is

​(Round to two decimal places as​ needed.)

Answer 1

the necessary calculation table:-

x	x2
5.2	27.0400
8.81	77.6161
30.91	955.4281
19.8	392.0400
29.8	888.0400
22.49	505.8001
14.86	220.8196
14.86	220.8196
27.1	734.4100
20.46	418.6116
17.5	306.2500
8.09	65.4481
16.51	272.5801
14.9	222.0100
15.35	235.6225
15.72	247.1184
11.9	141.6100
33.67	1133.6689
9.72	94.4784
18.3	334.8900
sum=355.95	sum=7494.3015

a).the mean be:-

b).the sample standard deviation be:-

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