Average is a term used in mathematics to describe a central value or a typical value of a set of numbers. It is also called the mean.
The formula for calculating the average is:
Average = (sum of all numbers in the set) / (number of numbers in the set)
Question 1:
Find the average of the numbers 4, 7, 9, and 11.
Solution:
Average = (4 + 7 + 9 + 11) / 4 = 31/4 = 7.75
So, the average of these numbers is 7.75.
Requested by: Muhammad Ahtram
Question 2:
Find the average of the first five even numbers.
Solution:
The first five even numbers are 2, 4, 6, 8, and 10.
Average = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6
So, the average of the first five even numbers is 6.
Requested by: Muhammad Ahtram
Question 3:
Find the average of the numbers 3, 3, 3, 3, and 10.
Solution:
Average = (3 + 3 + 3 + 3 + 10) / 5 = 22 / 5 = 4.4
So, the average of these numbers is 4.4.
Requested by: Muhammad Ahtram
Question 4:
Find the average of the numbers 5, 6, 7, 8, and 9.
Solution:
Average = (5 + 6 + 7 + 8 + 9) / 5 = 35 / 5 = 7
So, the average of these numbers is 7.
Requested by: Muhammad Ahtram
Question 5:
Find the average of the numbers 0, 1, 2, 3, and 4.
Solution:
Average = (0 + 1 + 2 + 3 + 4) / 5 = 10 / 5 = 2
So, the average of these numbers is 2.
Requested by: Muhammad Ahtram
Question 6:
Let’s say Muhammad Ahtram you have a test with five questions, and you score 80%, 90%, 70%, 85%, and 75%.
To find the average score, you add up all the scores and divide by the total number of questions:
(80 + 90 + 70 + 85 + 75) / 5 = 80.
The average score on this test is 80%.
Requested by: Muhammad Ahtram
Now The formula for calculating sum of observation
Average = (Sum of observations) / (Number of observations)
By Rearranging formula
Sum of observations = Average x Number of observations
This means that if we know the average and the number of observations, we can find the sum of observations by multiplying the two values together.
Question 1:
The average age of 4 people in a family is 30 years. What is the total age of all 4 people combined?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = 30 x 4 = 120 years
Therefore,the total age of all 4 people combined is 120 years.
Requested By: Asadullah
Question 2:
The average price of 6 pens is $1.50. What is the total cost of buying all 6 pens?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = $1.50 x 6 = $9
So, total cost of buying all 6 pens is $9.
Requested By: Asadullah
Question 3:
The average temperature in a room is 25 degrees Celsius. What is the total temperature of the room if there are 8 thermometers placed in different locations?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = 25 x 8 = 200 degrees Celsius
total temperature of the room is 200 degrees Celsius.
Requested By: Asadullah
Question 4:
The average weight of 5 boxes is 10 kg. What is the total weight of all 5 boxes combined?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = 10 x 5 = 50 kg
Total weight of all 5 boxes combined is 50 kg.
Requested By: Asadullah
Question 5:
The average score of 3 tests is 80%. What is the total percentage earned on all 3 tests?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = 80% x 3 = 240%
Therefore, the total percentage earned on all 3 tests is 240%. Note that this is not a valid percentage, as it is greater than 100%.
This indicates that there may be an error in the given information.
Requested By: Asadullah
Question 6:
The average height of 7 people is 165 cm. What is the total height of all 7 people combined?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
Sum of observations = Average x Number of observations
By Rearranging above formula
Substituting in the given values, we get:
Sum of observations = 165 cm x 7 = 1155 cm
The total height of all 7 people combined is 1155 cm.
Requested By: Asadullah
Question 7:
The average speed of a car on a 200 km journey is 80 km/h. What is the total time taken to complete the journey?
Solution:
Using the formula, we know that:
Average = Sum of observations / Number of observations
By Rearranging above formula
Sum of observations = Average x Number of observations
Substituting in the given values, we get:
Sum of observations = 80 km/h x 200 km = 16000 km/h
Therefore, the total time taken to complete the journey is not determined.
We cannot divide distance by speed to obtain time when we have the average speed, as it is possible that the car traveled at different speeds during the journey.
Therefore, more information is needed to find the total time taken to complete the journey.
Requested By: Asadullah
Click the Link Below For Practice Problems
When Sum of observation is required
Now The formula for calculating no of observation is:
Average = (sum of observations) / (number of observations)
By Rearranging above formula
Number of observations = sum of observations / Average
Question 1:
The average score of a basketball player over 10 games is 20 points. How many points did the player score in total?
Solution:
We can use the formula for the mean again:
average score = sum of scores / number of games
We’re given the average score (20) and the number of games (10),
so we can solve for the sum of scores:
20 = sum of scores / 10
multiplying both sides by 10:
200 = sum of scores
So the player scored a total of 200 points over the 10 games.
Requested by: Zaib Ali
Question 2:
The average of 5 numbers is 20. If four of the numbers are 18, 22, 16, and 24, what is the fifth number?
Solution:
First, we need to find the sum of the four given numbers:
sum = 18 + 22 + 16 + 24
sum = 80
Next, using the formula to find the fifth number:
n = sum / average
n = 80 / 5
n = 16
Therefore, the fifth number is 16.
Requested by: Zaib Ali
Question 3:
The average of 8 numbers is 15. If six of the numbers are 10, 14, 16, 20, 18, and 12, what is the total of the remaining two numbers?
Solution:
First, we need to find the sum of the six given numbers:
sum = 10 + 14 + 16 + 20 + 18 + 12
sum = 90
Next, using formula to find the total of the remaining two numbers:
n = sum / average
n = 90 / 8
n = 11.25
We know that the total of the remaining two numbers must be (average x n) – sum, so we can plug in the values we just found:
total = (15 x 2) – 90
total = 30 – 90
total = -60
So,, the total of the remaining two numbers is -60.
Requested by: Zaib Ali
Question 4:
The average of 12 numbers is 8. If nine of the numbers are 4, 10, 6, 8, 9, 12, 5, 11, and 7, what is the total of the remaining three numbers?
Solution:
First, we need to find the sum of the nine given numbers:
sum = 4 + 10 + 6 + 8 + 9 + 12 + 5 + 11 + 7
sum = 72
Next, we can use the formula to find the total of the remaining three numbers:
n = sum / average
n = 72 / 12
n = 6
We know that the total of the remaining three numbers must be (average x n) – sum, so we can plug in the values we just found:
total = (8 x 3) – 72
total = 24 – 72
total = -48
So, the total of the remaining three numbers is -48.
Requested by: Zaib Ali
Click the Link Below For Practice Problems
When Number of observation is required
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