Question

in a recent year, 30,000 people visited a water park. the park was open 150 days for water activities. the highest number of visitors on a single day was 600. the lowest number of visitors on a single day was 60. determine whether it is possible to find the following with the given information.

a) is it possible to find the mean number of visitors per day?

• no
• yes

b) is it possible to find the median number of visitors per day?

• yes
• no

Explanation:

Analyze the possibility of finding the mean

Using the Mean Calculation knowledge point

$$ \text{Mean} = \frac{\text{Total Visitors}}{\text{Total Days}} = \frac{30,000}{150} = 200 $$

Since both the total number of visitors and the total number of days are given, it is possible to calculate the mean.

Analyze the possibility of finding the median

Using the Median Calculation knowledge point
To find the median, we require the complete ordered dataset of daily visitors or a symmetric distribution. The given information only provides the total, the number of days, and the extreme values (minimum 60, maximum 600). Since multiple different datasets can share these exact summary statistics but have different middle values, the median cannot be uniquely determined.

Answer:

Question 1

• No
• Yes (Correct answer)

Question 2

• Yes
• No (Correct answer)