Answered

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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 :

MrRoyal

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]

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