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AVERAGES AND WEIGHTED AVERAGES
Concepts
● Average is an effective way of representing an entire group/set by a single value
Average = (Sum of observations/Number of observations)
● Weighted average/Combined average (Wa or Ca)
In simple terms it is average of multiple averages.
Ca = (N1A1+N2A2+N3A3+..)/(N1+N2+N3+.....)
Where,
N1, N2, N3 → no.of elements in the respective set
A1, A2, A3 → Average of the respective set
The average of first 10 odd numbers is?
A. 10
B. 11
C. 12
D. 13
Question: Q01
Answer: A
The mean weight of 150 students in a certain class is 60kg. The mean weight of
boys in the class is 70kg and that of girls if 55kg, then find the number of boys?
A. 50
B. 100
C. 70
D. 80
Question: Q02
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of
the last six is 11.4 the sixth number is ?
A. 11.0
B. 11.3
C. 11.4
D. 11.5
Question: Q03
Answer: D
The average of 20 numbers is zero. Of them, at the most, how many may be
greater than zero?
A. 0
B. 1
C. 10
D. 19
Question: Q04
Answer: D
The average weight of 8 person's increases by 2.5 kg when a new person comes
in place of one of them weighing 65 kg. What might be the weight of the new
person?
A. 76 kg
B. 76.5 kg
C. 85 kg
D. None of these
Question: Q05
Answer: C
The average monthly income of P and Q is Rs. 5050. The average monthly
income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs.
5200. The monthly income of P is:
A. 3500
B. 4000
C. 4050
D. 5000
Question: Q06
Answer: B
A class of 25 students took a science test. 10 students had an average (arithmetic
mean) score of 80. The other students had an average score of 60. What is the
average score of the whole class?
A. 68
B. 72
C. 45
D. 98
Question: Q07
Answer: A
The average weight of A, B and C is 45 kg. If the average weight of A and B be
40 kg and that of B and C be 43 kg, then the weight of B is:
A. 17 kg
B. 20 kg
C. 26 kg
D. 31 kg
Question: Q08
Answer: D
The average of 5 quantities is 6. The average of 3 of them is 8. What is the
average of the remaining two numbers?
A. 6.5
B. 4
C. 3
D. 3.5
Question: Q09
Answer: C
A class of 25 students took a science test. 10 students had an average (arithmetic
mean) score of 80. The other students had an average score of 60. What is the
average score of the whole class?
A. 68
B. 72
C. 52
D. None of these
Question: Q10
Answer: A
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8
boys is 45.15 kg. Find the average weights of all the boys in the class
A. 47.55 kg
B. 48 kg
C. 48.55 kg
D. 49.25 kg
Question: Q11
Answer: C
The average age of A and B 10 years ago was 20. The average age of A, B and
C today is 30, so what will be the age of C after 5 years.
A. 25
B. 55
C. 45
D. 35
Question: Q12
Answer: D
In a group of 8 boys, 2 men aged at 21 and 23 were replaced two new boys. Due
to this the average cost of the group increased by 2 years. What is the average
age of the 2 new boys?
A. 17
B. 30
C. 28
D. 23
Question: Q13
Answer: B
A batsman in his 17th innings makes a score of 85 and their by increasing his
average by 3. What is his average after the 17th innings?
A. 34
B. 35
C. 36
D. 37
Question: Q14
Answer: D
There are five times the number of two wheelers as there are three wheelers.
The no of four wheelers are equal to the number of two wheelers. Find the
average number of wheel per vehicle ?
A. 5
B. 4
C. 2
D. 3
Question: Q14
Answer: D
THANK YOU
/ethnuscodemithra /ethnus
Ethnus Codemithra /code_mithra
https://learn.codemithra.com/
codemithra@ethnus.com +91 7815 095 095 +91 9019 921 340

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Averages_and_Weighted_Averages_ 2022.pptx

  • 1.
  • 3. Concepts ● Average is an effective way of representing an entire group/set by a single value Average = (Sum of observations/Number of observations) ● Weighted average/Combined average (Wa or Ca) In simple terms it is average of multiple averages. Ca = (N1A1+N2A2+N3A3+..)/(N1+N2+N3+.....) Where, N1, N2, N3 → no.of elements in the respective set A1, A2, A3 → Average of the respective set
  • 4. The average of first 10 odd numbers is? A. 10 B. 11 C. 12 D. 13 Question: Q01 Answer: A
  • 5. The mean weight of 150 students in a certain class is 60kg. The mean weight of boys in the class is 70kg and that of girls if 55kg, then find the number of boys? A. 50 B. 100 C. 70 D. 80 Question: Q02 Answer: A
  • 6. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is ? A. 11.0 B. 11.3 C. 11.4 D. 11.5 Question: Q03 Answer: D
  • 7. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? A. 0 B. 1 C. 10 D. 19 Question: Q04 Answer: D
  • 8. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? A. 76 kg B. 76.5 kg C. 85 kg D. None of these Question: Q05 Answer: C
  • 9. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is: A. 3500 B. 4000 C. 4050 D. 5000 Question: Q06 Answer: B
  • 10. A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class? A. 68 B. 72 C. 45 D. 98 Question: Q07 Answer: A
  • 11. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: A. 17 kg B. 20 kg C. 26 kg D. 31 kg Question: Q08 Answer: D
  • 12. The average of 5 quantities is 6. The average of 3 of them is 8. What is the average of the remaining two numbers? A. 6.5 B. 4 C. 3 D. 3.5 Question: Q09 Answer: C
  • 13. A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class? A. 68 B. 72 C. 52 D. None of these Question: Q10 Answer: A
  • 14. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class A. 47.55 kg B. 48 kg C. 48.55 kg D. 49.25 kg Question: Q11 Answer: C
  • 15. The average age of A and B 10 years ago was 20. The average age of A, B and C today is 30, so what will be the age of C after 5 years. A. 25 B. 55 C. 45 D. 35 Question: Q12 Answer: D
  • 16. In a group of 8 boys, 2 men aged at 21 and 23 were replaced two new boys. Due to this the average cost of the group increased by 2 years. What is the average age of the 2 new boys? A. 17 B. 30 C. 28 D. 23 Question: Q13 Answer: B
  • 17. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings? A. 34 B. 35 C. 36 D. 37 Question: Q14 Answer: D
  • 18. There are five times the number of two wheelers as there are three wheelers. The no of four wheelers are equal to the number of two wheelers. Find the average number of wheel per vehicle ? A. 5 B. 4 C. 2 D. 3 Question: Q14 Answer: D
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