a class consists of 24 boys and 16 girls.the average weight of the class is 41.7 kg,and the average weight of the boys is 41.1 kg.Find the average weight of the girls.
To find the average weight of the girls, we need to calculate the total weight of the girls and then divide it by the number of girls.
Given:
- Total number of boys = 24
- Total number of girls = 16
- Average weight of the class = 41.7 kg
- Average weight of the boys = 41.1 kg
Step 1: Calculate the total weight of the class:
Total weight of the class = Average weight of the class × Total number of students
Total weight of the class = 41.7 kg × (24 boys + 16 girls)
Step 2: Calculate the total weight of the boys:
Total weight of the boys = Average weight of the boys × Total number of boys
Total weight of the boys = 41.1 kg × 24 boys
Step 3: Calculate the total weight of the girls:
Total weight of the girls = Total weight of the class - Total weight of the boys
Step 4: Calculate the average weight of the girls:
Average weight of the girls = Total weight of the girls / Total number of girls
Let's calculate:
Step 1: Total weight of the class = 41.7 kg × (24 + 16) = 41.7 kg × 40 = 1668 kg.
Step 2: Total weight of the boys = 41.1 kg × 24 = 986.4 kg.
Step 3: Total weight of the girls = 1668 kg - 986.4 kg = 681.6 kg.
Step 4: Average weight of the girls = 681.6 kg / 16 = 42.6 kg.
Therefore, the average weight of the girls in the class is 42.6 kg.
To find the average weight of the girls, we need to use the information given.
We know that the total number of students in the class is the sum of the number of boys and girls, which is 24 + 16 = 40.
We also know that the average weight of the class is 41.7 kg, and the average weight of the boys is 41.1 kg.
To find the total weight of the class, we can multiply the average weight of the class by the total number of students: 41.7 kg * 40 = 1668 kg.
To find the total weight of the boys, we can multiply the average weight of the boys by the number of boys: 41.1 kg * 24 = 986.4 kg.
Now, to find the total weight of the girls, we can subtract the total weight of the boys from the total weight of the class: 1668 kg - 986.4 kg = 681.6 kg.
Finally, to find the average weight of the girls, we can divide the total weight of the girls by the number of girls: 681.6 kg / 16 = 42.6 kg.
Therefore, the average weight of the girls in the class is 42.6 kg.
24*41.1 + 16g = (24+16)*41.7
g = 42.6
Mean boys = 41.1 = ∑x/n = ∑x/24
∑x = 986.4
Mean class = 41.7 = ∑y/40
∑y = 1,668
Mean girls = (1668-986.4)/16 = ?