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The school committee of a small town wants to determine the average number of children per household in their town. There are 50 households in the town. They divide the total number of children in the town by 50 and determine that the average number of children per household is 2.2. Which of the following must be true?
a. Half of the households in the town have more than 2 children.b. There are a total of 110 children in the town.c. The most common number of children in a household is 2.2.d. None of the other statements is true.

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Answer:

b. There are a total of 110 children in the town

Step-by-step explanation:

Since no information is provided regarding the type of distribution that describes the number of children per household, statements 'a' and 'c' can be ruled out.

As for statement 'b', the total number of children in the town can be determined by multiplying the average value by the number of households in town. With an average of 2.2 children and 50 households, the total number of children is:

[tex]n=2.2*50 = 110\ children[/tex]

Therefore, statement "b. There are a total of 110 children in the town" is true.

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