Question

The mean number of people per day visiting a museum in July was 160. If 20more people each day visited the museum in August, what was the meannumber of people per day visiting in August?• A. 160B. 180640620

Answer 1

The given information is:

- The mean number of people visiting the museum in July was 160

- In August, each day 20 more people each day visited the museum.

The mean of a set of numbers is given by:

`Mean=\frac{\text{ Sum of all data points}}{\text{ Number of data points}}`

July has 31 days, so the number of data points is 31, then the sum of all data points is:

`\begin{gathered} 160=(sum)/(31) \\ \\ Sum=160*31=4960 \end{gathered}`

Now, August has 31 days too, and if each day 20 more people visited the museum, then we need to add to the sum of data points of July, 31*20, so:

`August\text{ }sum=4960+31*20=4960+620=5580`

So, the mean in August is:

`Mean=(5580)/(31)=180`

The answer is B. 180