Question

Sample standard deviation 4,13,16,6,8,7,15,19,11

Answer 1

The sample standard deviation of the given 9 term series is 5.099

Step-by-step explanation:

• step 1 : arrange the given series in increasing order so 4,6,7,8,11,13,15,16,19.
• step 2 : find the mean of the series (i.e) add the numbers  and divide the total with the n ( number of terms given ). $\frac{4+6+7+8+11+13+15+16+19}{9}$=  11

• step 3 : now subtract the mean with the given number and add the answers by squaring them so     $(4-11)^{2}$ + $(6-11)^{2}$ + $(7-11)^{2}$ + $(8-11)^{2}$ + $(11-11)^{2}$ + $(11-13)^{2}$ + $(11-15)^{2}$ + $(11-16)^{2}$ + $(11-19)^{2}$ = 208
• step 4 : Now divide the obtained answer by the (n-1) . so $\frac{208}{8}$ = 26
• step 5 : Take the square root of the answer $\sqrt{26}$ = 5.099
• step 6 : Thus we found the sample standard deviation.