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:
[tex]Mean=\frac{\text{ Sum of all data points}}{\text{ Number of data points}}[/tex]
July has 31 days, so the number of data points is 31, then the sum of all data points is:
[tex]\begin{gathered} 160=\frac{sum}{31} \\ \\ Sum=160*31=4960 \end{gathered}[/tex]
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:
[tex]August\text{ }sum=4960+31*20=4960+620=5580[/tex]
So, the mean in August is:
[tex]Mean=\frac{5580}{31}=180[/tex]
The answer is B. 180
