\[{{x}_{i}}\] | 2 | 3 | 11 |
\[f({{x}_{i}})\] | \[\frac{1}{3}\] | \[\frac{1}{2}\] | \[\frac{1}{6}\] |
A) 10
B) 16
C) 8
D) 7.5
Correct Answer: A
Solution :
[a] We construct the following table:\[{{x}_{i}}\] | \[f({{x}_{i}})\] | \[x_{i}^{2}\] | \[f({{x}_{i}}).{{x}_{i}}\] | \[f({{x}_{i}}).x_{_{i}}^{2}\] |
2 | \[\frac{1}{3}\] | 4 | \[\frac{2}{3}\] | \[\frac{4}{3}\] |
3 | \[\frac{1}{2}\] | 9 | \[\frac{3}{2}\] | \[\frac{9}{2}\] |
11 | \[\frac{1}{6}\] | 121 | \[\frac{11}{6}\] | \[\frac{121}{6}\] |
1 | 4 | 26 |
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