Average

Average

The average is defined as the sum of observations divided by the total number of observations. It is commonly used in many areas of life, such as in statistics, finance and everyday situations like calculating grades, sports scores or weather reports.

Formula for Average

The formula for calculating the average of a set of numbers is:

Suppose, we have given n number of values such as x₁, x₂, x₃, …. x_n.

The average or the mean of the given data will be equal to:

Example:

To find the average of the numbers 5, 8, 10 and 12:

-> Sum of all numbers = 5 + 8 + 10 + 12 = 35
-> Total number of numbers = 4
-> Average = 35 / 4 = 8.75

So, the average of the numbers 5, 8, 10 and 12 is 8.75

Average Speed

Average speed refers to the measure of the distance traveled over a certain period of time. It is calculated by dividing the total distance traveled by the total time taken. The unit of measurement for average speed is typically miles per hour (mph) or kilometers per hour (km/h).

Average speed can be used to compare the performance of different vehicles or to track an individual's progress over time.

Formula for Average Speed

The formula for average speed is: Average Speed = Total Distance / Total Time

Example: A car travels at the rate of 80 miles/hour for 4 hours and B travels at the rate of 40 miles/hour for 2 hours. What is the average speed of the car?

Solution: Average Speed = Total Distance / Total Time
= 120 miles / 6 hours
= 20 mph

So, the average speed of the car is 20 mph.

Average Weight

Average weight refers to the typical or mean weight of a group of individuals or objects. It is calculated by adding up the weights of all members of the group and dividing by the total number of members. This gives an overall representation of the typical weight of the group, considering any variations or outliers within the group.

Formula for Average Weight

The formula for calculating the average weight is: Average Weight = (Sum of all weights) / (Total number of items)

Example: If you have a group of 5 people with weights of 150 pounds, 160 pounds, 170 pounds, 180 pounds and 190 pounds, the average weight would be:
(150 + 160 + 170 + 180 + 190) / 5 = 170 pounds