Question

analyzing student work for errors
plant growth
dean describes the data in the histogram as having a cluster from 30–60 and a peak at 40–49. he says the intervals 0–9 and 80–89 show a 0 frequency. lastly, he 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 intervals with 0 frequency.
the graph is symmetrical.

Explanation:

A peak in a histogram is the interval with the highest frequency. Here, the interval \(40 - 49\) has the highest bar (frequency), so there is a peak. A cluster is a group of adjacent intervals with relatively high frequencies. The intervals \(30 - 60\) have higher frequencies compared to the other intervals, so there is a cluster. Symmetry in a histogram means that if we fold the histogram along a vertical line, the two - halves would match. This histogram is not symmetrical. However, looking at the \(y\) - axis (frequency) and the intervals \(0 - 9\) and \(80 - 89\), the frequency for these intervals is \(1\) (not \(0\)).

Answer:

The graph does not show intervals with 0 frequency.