Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The mean weight of 45 boys is 65kg and 37 girls is 45kg and that of 5 teachers is 70kg. What is the average weight of the whole class included the teachers?

Sagot :

Answer:

The average weight of the whole class is: 56.78kg

Explanation:

Given

[tex]\bar x_{boys} = 65[/tex]

[tex]n_{boys} = 45[/tex]

[tex]\bar x_{girls} = 45[/tex]

[tex]n_{girls} = 37[/tex]

[tex]\bar x_{teachers} = 70[/tex]

[tex]n_{teachers} = 5[/tex]

Required

The average of the whole class.

This requires that we calculate the population average

This is calculated as:

[tex]\mu = \frac{\sum n_i * \bar x_i}{\sum n}[/tex]

So, we have:

[tex]\mu = \frac{45 * 65+ 37*45+5*70}{45+37+5}[/tex]

[tex]\mu = \frac{4940}{87}[/tex]

[tex]\mu = 56.78[/tex]