Question

dean describes the data in the histogram as having a cluster from 30 - 60 and a peak at 40 - 49. he says that intervals 0 - 9 and 80 - 89 show a 0 frequency. lacey says that the graph is not symmetrical. why is dean incorrect? the graph does not show a peak. there is no cluster in this data set. the graph does not show frequency. the graph is symmetrical.

Explanation:

Step1: Analyze the histogram shape

Symmetric histograms have a mirror - like appearance on either side of the center. Looking at the given histogram of plant growth vs water, the left and right sides are not mirror - images.

Step2: Check for peaks and clusters

There is a peak (highest frequency) in the 40 - 49 interval and clusters around 30 - 60. Also, the intervals 0 - 9 and 80 - 89 have a 0 frequency which is part of the overall data distribution but doesn't affect the symmetry.

Answer:

The graph is not symmetrical.