based on the histogram, which of these statements are true? there is an outlier, which will affect the mean…

Explanation:

Step1: Calculate total number of people

The number of people in each interval: 0 - 4 has 7 people, 5 - 9 has 9 people, 10 - 14 has 6 people, 15 - 19 has 0 people, 20 - 24 has 1 person. Total number of people $n=7 + 9+6+0 + 1=23$.

Step2: Analyze outlier

The number of people in the 20 - 24 interval is much smaller compared to other non - zero intervals, so 20 - 24 is an outlier. Outliers affect the mean, so the statement "There is an outlier, which will affect the mean" is true.

Step3: Analyze the statement about half of friends

Half of 23 is 11.5. The number of people in the 10 - 14 interval is 6, which is not half of the total number of friends, so the statement "Half of her friends saw between 10 and 14 movies" is false.

Step4: Analyze skewness

The tail of the histogram extends to the right (towards the 20 - 24 interval), so the data is skewed right, not left. The statement "The data is skewed left" is false.

Step5: Analyze median

Since $n = 23$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value, i.e., the 12 - th value. Counting the frequencies: 7 people in 0 - 4 and 9 people in 5 - 9. The 12 - th value falls in the 5 - 9 interval. So the statement "The median number of movies seen is between 5 and 9" is true.

Answer:

The true statements are: "There is an outlier, which will affect the mean." and "The median number of movies seen is between 5 and 9."