Average Calculation Principle
A fundamental property of averages states that if you add a constant value to every number in a dataset, the average of that dataset increases by the same constant value.
Applying the Principle
Let the original average of the quantities be denoted by '$A_{old}$'.
Given: '$A_{old} = 45$'
A constant value, '$C = 5$', is added to each quantity.
Calculating the New Average
According to the property of averages:
- New Average ($A_{new}$) = Original Average ($A_{old}$) + Constant Added ($C$)
- $A_{new} = 45 + 5$
- $A_{new} = 50$
Therefore, the new average will be 50.
Similar Questions
- The average of a group of 8 consecutive even numbers is 41. What is the sum of the smallest and largest numbers in the group?
- The average of x and y is 30. The average of x, y, and z is 40. What is the average of x, y, and 2z?
- The average weight of 10 boxes is 15.5 kg. If the heaviest box weighs 21 kg and the lightest weighs 10 kg, what is the average weight of the remaining boxes?
- The average of a group of 11 numbers is 61. If the first six numbers have an average of 57 and the last six numbers have an average of 65, what is the sixth number?
- A group of 5 friends went to a restaurant. If 4 of them paid Rs. 200 each and the fifth paid Rs. x, the average bill per person came out to be Rs. 210. What is the value of x?
- A trader bought 5 varieties of rice whose weights are in the ratio 2:3:4:5:6. Their respective prices per kg are Rs. 40, Rs. 42, Rs. 45, Rs. 48, and Rs. 50. What is the average cost per kg of the mixture?
- The average salary of 40 workers in a factory is Rs. 24,000. If the salary of a supervisor is added, the average rises to Rs. 24,500. What is the supervisor’s salary?
- The average temperature of a city from Monday to Friday is $40^{\circ}\text{ C}$. If the temperature on Saturday is $45^{\circ}\text{ C}$, what will be the average temperature from Monday to Saturday?
- The average age of 10 students in a class increases by 1 year when a 30-year-old teacher joins them. What was the original average age of the students?
- The average score of a batsman in 20 innings is 42. If his highest score of 120 is excluded, what is the new average?
Important Questions from Average
The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?
The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?
The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:
If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:
