A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted twice as much as monthly examination. What is his average mark physics?

Created: 2 years ago | Updated: 3 weeks ago

Updated: 3 weeks ago

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বাংলাদেশ ব্যাংক — সহকারী পরিচালক 28-10-2022 গণিত গড় (Average)

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প্রশ্ন: A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted twice as much as monthly examination. What is his average mark physics?

Correct option is C)

We have,

x₁= 60

x₂=75

x₃ = 85

x₄= 95

w₁ = 1

w₂= 1

w₃ = 1

and w₄= 2

$∴$ $\bar{x_{w}} = \frac{w_{1} x_{1} + w_{2} x_{2} + w_{3} x_{3} + w_{4} x_{4} }{w_{1} + w_{2} + w_{3} + w_{4} }$
⇒ $\bar{x_{w}} = \frac{(1 \times 60) + (1 \times 75) + (1 \times 85) + (2 \times 95) }{1 + 1 + 1 + 2}$

$\Rightarrow \bar{x_{w}} = \frac{410 }{5}$

$∴$ $\bar{x_{w}} = 82$

2 years ago

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A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted twice as much as monthly examination. What is his average mark physics?

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