Question
If $\left(a^2+b^2+c^2\right)=50$ and $(a b+b c+c a)=47$, find the value of $(a+b+c)$.
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| Variate | 3 | 6 | 10 | 12 | 7 | 15 |
| Frequency | 3 | 4 | 2 | 8 | 13 | 10 |

| xi | 10 | 15 | p | 25 | 30 |
| fi | 5 | 10 | 7 | 8 | 2 |