Question

question 2 3 pts 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? half of the households in the town have more than 2 children. the most common number of children in a household is 2.2. there are a total of 110 children in the town.

Explanation:

Step1: Recall the formula for average

The formula for the average (mean) number of children per household is $\text{Average} = \frac{\text{Total number of children}}{\text{Total number of households}}$.

Step2: Substitute the given values

We know the average is $2.2$ and the total number of households is $50$. Let $T$ be the total number of children. Then, using the formula $2.2=\frac{T}{50}$.

Step3: Solve for T

To find $T$, we multiply both sides of the equation by $50$: $T = 2.2\times50 = 110$.

Now let's analyze the other options:

• For the first option: The average being $2.2$ does not imply that half of the households have more than 2 children. The distribution of children per household could be various, so we can't conclude this.
• For the second option: The average (mean) is $2.2$, but the mode (most common number) is not necessarily $2.2$ (and also the number of children per household should be a whole number in reality, so $2.2$ can't be a mode).

Answer:

There are a total of 110 children in the town.