Question : Sonali applied for a job as a Science teacher in a school. In the job test, 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?
Option 1: 7
Option 2: 8.4
Option 3: 7.2
Option 4: 21
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Correct Answer: 7
Solution :
Score in physics = 8
Score in Chemistry = 8
Score in Biology = 6
Score in Interview = 6.5
The weightage assigned to Sonali in Physics, Chemistry, Biology, and Interview = 2, 3, 3, 4
Weighted average
= $\frac{(2 \times 8 + 3 \times 8 + 3 \times 6 + 4 \times 6.5)}{(2 + 3 + 3 + 4)}$
= $\frac{(16 + 24 + 18 + 26)}{(12)}$
= $\frac{84}{12}$
= 7
Hence, the correct answer is 7.
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