Introduction for practice weighted average:
The weighted average is similar to an arithmetic average, where instead of each of the data points contributing equally to the final average, some data points contribute more than others. The notion of weighted average plays a role in descriptive statistics and also occurs in a more general form in several other areas of mathematics.
(Source wikipedia)
Example Problems for Practice Weighted Average:
Example 1:
A pack contains 70 balloons. 40 balloons are sold for $2 and another 30 balloons are sold for $1. Calculate weighted average for all balloons.
Solution:
The sum of the average is (40 * 2) + (30 * 1) = 80 + 30 = 110
Weighted average = `"The sum of the average" / "Total number of balloons"`
= `110 / 70`
= 1.57
Example 2:
A box contains 80 cakes. 50 cakes are soled for $4 and another 30 cakes are sold for $3. Calculate weighted average for all cakes.
Solution:
The sum of the average is (50 * 4) + (30 * 3) = 200 + 90 = 290
Weighted average = `"The sum of the average" / "Total number of cakes"`
= `290 / 80`
= 3.625
Example3:
A class room contains 100 students, the average weight of the 75 students is 68 and another 25 students average weight is 88. calculate weighted average weight of all students.Is this topic Types of Numbers hard for you? Watch out for my coming posts.
Solution:
The sum of the average is (75 * 68) + (25 * 88) = 5100 + 2200 = 7300
Weighted average = `"The sum of the average" / "Total number of students"`
= `7300 / 100`
= 73
Practice Problems for Weighted Average:
Practice Problem 1:
A class contains 100 students. 60 students average score is 85 and other 40 students average score is 78. Calculate the weighted average for the entire class.
Answer: Weighted average = 82.2
Practice Problem 2:
A class contains 75 students. 30 students average score is 80 and other 45 students average score is 75. Calculate the weighted average for the entire class.
Answer: Weighted average = 77
Practice Problem 3:
A class contains 80 students. 50 students average height is 150cm and another 30 students average height is 140cm. calculate the weighted average for the entire class.
Answer: Weighted average = 146.25
The weighted average is similar to an arithmetic average, where instead of each of the data points contributing equally to the final average, some data points contribute more than others. The notion of weighted average plays a role in descriptive statistics and also occurs in a more general form in several other areas of mathematics.
(Source wikipedia)
Example Problems for Practice Weighted Average:
Example 1:
A pack contains 70 balloons. 40 balloons are sold for $2 and another 30 balloons are sold for $1. Calculate weighted average for all balloons.
Solution:
The sum of the average is (40 * 2) + (30 * 1) = 80 + 30 = 110
Weighted average = `"The sum of the average" / "Total number of balloons"`
= `110 / 70`
= 1.57
Example 2:
A box contains 80 cakes. 50 cakes are soled for $4 and another 30 cakes are sold for $3. Calculate weighted average for all cakes.
Solution:
The sum of the average is (50 * 4) + (30 * 3) = 200 + 90 = 290
Weighted average = `"The sum of the average" / "Total number of cakes"`
= `290 / 80`
= 3.625
Example3:
A class room contains 100 students, the average weight of the 75 students is 68 and another 25 students average weight is 88. calculate weighted average weight of all students.Is this topic Types of Numbers hard for you? Watch out for my coming posts.
Solution:
The sum of the average is (75 * 68) + (25 * 88) = 5100 + 2200 = 7300
Weighted average = `"The sum of the average" / "Total number of students"`
= `7300 / 100`
= 73
Practice Problems for Weighted Average:
Practice Problem 1:
A class contains 100 students. 60 students average score is 85 and other 40 students average score is 78. Calculate the weighted average for the entire class.
Answer: Weighted average = 82.2
Practice Problem 2:
A class contains 75 students. 30 students average score is 80 and other 45 students average score is 75. Calculate the weighted average for the entire class.
Answer: Weighted average = 77
Practice Problem 3:
A class contains 80 students. 50 students average height is 150cm and another 30 students average height is 140cm. calculate the weighted average for the entire class.
Answer: Weighted average = 146.25
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