The following data represent the concentration of dissolved organic carbon (mg/L

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.

(a) Find the sample mean.

(b) Find the sample standard deviation.

14.00          29.80          27.10          16.51          14.00

8.81            5.30            20.46            14.90          33.67

30.91          14.86          20.46            15.35          9.72

19.80          14.86          8.09              15.72          18.30

Explanation / Answer

Ans:

Mean=352.62/20=17.631

Sample standard deviation=sqrt(1135.26/19)=7.73

x (x-mean)^2 1 14 13.184 2 29.8 148.085 3 27.1 89.662 4 16.51 1.257 5 14 13.184 6 8.81 77.810 7 5.3 152.054 8 20.46 8.003 9 14.9 7.458 10 33.67 257.250 11 30.91 176.332 12 14.86 7.678 13 20.46 8.003 14 15.35 5.203 15 9.72 62.584 16 19.8 4.705 17 14.86 7.678 18 8.09 91.031 19 15.72 3.652 20 18.3 0.448 Total= 352.62 1135.260 Mean= 17.631 7.730=std dev.

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