Sonali applied for a job of Science teacher in a school. In the test for job, she scored 8 in Physics, 8 in Chemistry, 6 in Biology, and 6.5 in the interview. For calculating the final score, weightage of 2, 3, 3, and 4 were assigned to Physics, Chemistry, Biology and interview, respectively. What is the weighted average score of Sonali?

The weighted average of a set of scores is found by multiplying each score by its assigned weight, adding all such products, and then dividing by the sum of the weights.

Weights assigned: Physics $$= 2$$, Chemistry $$= 3$$, Biology $$= 3$$, Interview $$= 4$$.
Total weight $$W = w_P + w_C + w_B + w_I = 2 + 3 + 3 + 4 = 12$$.

Calculate the weighted sum of marks:
Physics contribution $$= 8 \times 2 = 16$$,
Chemistry contribution $$= 8 \times 3 = 24$$,
Biology contribution $$= 6 \times 3 = 18$$,
Interview contribution $$= 6.5 \times 4 = 26$$.

Weighted sum $$= 16 + 24 + 18 + 26 = 84$$.

Weighted average $$= \frac{\text{Weighted sum}}{\text{Total weight}} = \frac{84}{12} = 7$$.

Option A which is: 7