Question

movie length (minutes)
describe the shape of the graph. although the
mean cannot be determined from the graph, can
an approximation of the mean be determined?
explain.
done

Explanation:

1. Shape of the graph: The box plot has its median (middle line of the box) centered in the box, and the whiskers are roughly equal in length. This means the data is symmetrically distributed around the center.
2. Mean approximation: For symmetric distributions, the mean is approximately equal to the median. The median of this box plot is 110 minutes, so we can approximate the mean using this value, as symmetric data has its mean and median near each other.

Answer:

1. The shape of the graph (box plot) is symmetric.
2. Yes, an approximation of the mean can be determined. For symmetric data, the mean is approximately equal to the median, which is 110 minutes, so the mean can be approximated as 110 minutes.