Weighted Average MCQ Quiz - Objective Question with Answer for Weighted Average - Download Free PDF
Last updated on May 20, 2025
Latest Weighted Average MCQ Objective Questions
Weighted Average Question 1:
A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the remaining 30% of the portfolio and has a negative return of 5%. What is the average return of the portfolio?
Answer (Detailed Solution Below)
Weighted Average Question 1 Detailed Solution
Given:
Stock A represents 20% of the portfolio and has a return of 6%.
Stock B represents 30% of the portfolio and has a return of 8%.
Stock C represents 20% of the portfolio and has a return of 4%.
Stock D represents 30% of the portfolio and has a return of -5%.
Formula Used:
Average return of the portfolio = (Weight of Stock A × Return of Stock A) + (Weight of Stock B × Return of Stock B) + (Weight of Stock C × Return of Stock C) + (Weight of Stock D × Return of Stock D)
Calculation:
Weight of Stock A = 20% = 0.2
Weight of Stock B = 30% = 0.3
Weight of Stock C = 20% = 0.2
Weight of Stock D = 30% = 0.3
Return of Stock A = 6% = 0.06
Return of Stock B = 8% = 0.08
Return of Stock C = 4% = 0.04
Return of Stock D = -5% = -0.05
Average return of the portfolio:
⇒ (0.2 × 0.06) + (0.3 × 0.08) + (0.2 × 0.04) + (0.3 × -0.05)
⇒ 0.012 + 0.024 + 0.008 - 0.015
⇒ 0.029
The average return of the portfolio is 0.029 or 2.9%.
Weighted Average Question 2:
Sonali applied for a job of Science teacher in a school. In the test for job, she got 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?
Answer (Detailed Solution Below)
Weighted Average Question 2 Detailed Solution
Given:
Score in physics= 8
Score in Chemistry= 8
Score in Biology= 6
Score in Interview= 6.5
Weightage assigned to Sonali in Physics, Chemistry, Biology and Interview= 2,3,3,4
Concept used:
Weighted average = ∑ (Score × Weightage)/∑ Weightage
Calculation:
Weighted average
= (2 × 8 + 3 × 8 + 3 × 6 + 4 × 6.5)/(2 + 3 + 3 + 4)
= (16 + 24 + 18 + 26)/(12)
= 84/12
= 7
∴ The Required value is 7.
Weighted Average Question 3:
Find the weighted arithmetic mean of the first 'n' natural numbers, the weights being the corresponding numbers.
Answer (Detailed Solution Below)
Weighted Average Question 3 Detailed Solution
Concept used:
1. Sum of the squares of first n natural numbers =
2. Sum of n natural numbers =
Calculation:
First n natural numbers = 1, 2, 3, ...., n
Their corresponding weights respectively = 1, 2, 3, ...., n
Now, the weighted arithmetic mean of the first 'n' natural numbers
⇒
⇒
⇒
⇒
∴ The weighted arithmetic mean of the first 'n' natural numbers is
Top Weighted Average MCQ Objective Questions
Find the weighted arithmetic mean of the first 'n' natural numbers, the weights being the corresponding numbers.
Answer (Detailed Solution Below)
Weighted Average Question 4 Detailed Solution
Download Solution PDFConcept used:
1. Sum of the squares of first n natural numbers =
2. Sum of n natural numbers =
Calculation:
First n natural numbers = 1, 2, 3, ...., n
Their corresponding weights respectively = 1, 2, 3, ...., n
Now, the weighted arithmetic mean of the first 'n' natural numbers
⇒
⇒
⇒
⇒
∴ The weighted arithmetic mean of the first 'n' natural numbers is
Sonali applied for a job of Science teacher in a school. In the test for job, she got 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?
Answer (Detailed Solution Below)
Weighted Average Question 5 Detailed Solution
Download Solution PDFGiven:
Score in physics= 8
Score in Chemistry= 8
Score in Biology= 6
Score in Interview= 6.5
Weightage assigned to Sonali in Physics, Chemistry, Biology and Interview= 2,3,3,4
Concept used:
Weighted average = ∑ (Score × Weightage)/∑ Weightage
Calculation:
Weighted average
= (2 × 8 + 3 × 8 + 3 × 6 + 4 × 6.5)/(2 + 3 + 3 + 4)
= (16 + 24 + 18 + 26)/(12)
= 84/12
= 7
∴ The Required value is 7.
Weighted Average Question 6:
Find the weighted arithmetic mean of the first 'n' natural numbers, the weights being the corresponding numbers.
Answer (Detailed Solution Below)
Weighted Average Question 6 Detailed Solution
Concept used:
1. Sum of the squares of first n natural numbers =
2. Sum of n natural numbers =
Calculation:
First n natural numbers = 1, 2, 3, ...., n
Their corresponding weights respectively = 1, 2, 3, ...., n
Now, the weighted arithmetic mean of the first 'n' natural numbers
⇒
⇒
⇒
⇒
∴ The weighted arithmetic mean of the first 'n' natural numbers is
Weighted Average Question 7:
Sonali applied for a job of Science teacher in a school. In the test for job, she got 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?
Answer (Detailed Solution Below)
Weighted Average Question 7 Detailed Solution
Given:
Score in physics= 8
Score in Chemistry= 8
Score in Biology= 6
Score in Interview= 6.5
Weightage assigned to Sonali in Physics, Chemistry, Biology and Interview= 2,3,3,4
Concept used:
Weighted average = ∑ (Score × Weightage)/∑ Weightage
Calculation:
Weighted average
= (2 × 8 + 3 × 8 + 3 × 6 + 4 × 6.5)/(2 + 3 + 3 + 4)
= (16 + 24 + 18 + 26)/(12)
= 84/12
= 7
∴ The Required value is 7.
Weighted Average Question 8:
A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the remaining 30% of the portfolio and has a negative return of 5%. What is the average return of the portfolio?
Answer (Detailed Solution Below)
Weighted Average Question 8 Detailed Solution
Given:
Stock A represents 20% of the portfolio and has a return of 6%.
Stock B represents 30% of the portfolio and has a return of 8%.
Stock C represents 20% of the portfolio and has a return of 4%.
Stock D represents 30% of the portfolio and has a return of -5%.
Formula Used:
Average return of the portfolio = (Weight of Stock A × Return of Stock A) + (Weight of Stock B × Return of Stock B) + (Weight of Stock C × Return of Stock C) + (Weight of Stock D × Return of Stock D)
Calculation:
Weight of Stock A = 20% = 0.2
Weight of Stock B = 30% = 0.3
Weight of Stock C = 20% = 0.2
Weight of Stock D = 30% = 0.3
Return of Stock A = 6% = 0.06
Return of Stock B = 8% = 0.08
Return of Stock C = 4% = 0.04
Return of Stock D = -5% = -0.05
Average return of the portfolio:
⇒ (0.2 × 0.06) + (0.3 × 0.08) + (0.2 × 0.04) + (0.3 × -0.05)
⇒ 0.012 + 0.024 + 0.008 - 0.015
⇒ 0.029
The average return of the portfolio is 0.029 or 2.9%.
Weighted Average Question 9:
Average number of students in a class is ______. Ratio of boys and girls in the school 3:2. 10 boys and 12 girls joined in the class. So new average of students in class is ______.
I.45, 5:4, II.55, 4:7, III. 65, 3:2
Find which of the following values satisfy the blank.
Answer (Detailed Solution Below)
Weighted Average Question 9 Detailed Solution
Calculation
So, total number of students in the class is 45 × 2 = 90
So, Number of boys in the class is 90 × 3 / 5 = 54
Number of girls in the class is 90 – 54 = 36
Now boys is 54 + 10 = 64
Now girls is 36 + 12 = 48
So, ratio is 64 : 48 = 4: 3
So, its false. Similarly, we can check others values also.