Average: Weighted Average

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Practice Questions

When values have different weights (importance or frequency), use the weighted average:

Weighted average = Σ (weight × value) / Σ weights

Test 1: 40 marks, score 70 (weight 3). Test 2: 60 marks, score 80 (weight 2). Weighted average = (3×70 + 2×80)/(3+2) = 74.

Q1 Medium

A student scores 70 in a 40-mark test (weight 3) and 80 in a 60-mark test (weight 2). Weighted average is:
Q2 Easy

10 kg rice at Rs. 20/kg is mixed with 15 kg at Rs. 30/kg. Average price per kg is:
Q3 Medium

Class A has 30 students with average 60. Class B has 20 students with average 75. Combined average is:
Q4 Medium

Maths (4 credits) score 80, English (3 credits) score 70, Science (3 credits) score 90. Weighted average is:
Q5 Hard

An alloy has 2 parts copper (density 8) and 3 parts zinc (density 6). Average density is:
Q6 Easy

A student scores 72 and 84 in two equal 50-mark tests. Weighted average is:
Q7 Hard

Rs. 5,000 at 8% and Rs. 10,000 at 12% are invested. Weighted average rate is:

Q8 Easy

4 apples of 60 g and 6 apples of 80 g. Average weight per apple is:
Q9 Medium

Section I: 40 students, average 55. Section II: 60 students, average 65. Combined average is:
Q10 Medium

20 L milk at Rs. 24/L mixed with 30 L at Rs. 30/L. Average price is:
Q11 Easy

Weighted average of 30 (weight 2) and 45 (weight 3) is:
Q12 Easy

Two values 25 and 35 with equal weights have weighted average:
Q13 Medium

Group A: 15 members, average 48. Group B: 25 members, average 52. Combined average is:
Q14 Easy

3 kg at Rs. 40/kg and 7 kg at Rs. 60/kg. Average cost per kg is: