Question

The data depicted in a histogram show approximately a normal distribution if the distribution

Answer 1

Answer:

bunches up in the middle and tapers off symmetrically at either end

Step-by-step explanation:

By definition a normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Because the data towards the mean is more frequent in occurrence, the graph peaks at the center. The data occurs less frequently at the tail ends of the distribution, thus the shape of the distribution is a bell shape that peaks at the center and tapers off towards the tails.  The key characteristic is that the distribution of data is perfectly symmetrical.

This is why the answer is:

The data depicted in a histogram show approximately a normal distribution if the distribution bunches up in the middle and tapers off symmetrically at either end.