As the new manager of a small convenience store you want to

As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterday\'s records. The amounts of those purchases (in dollars) are shown to the right. Complete parts a) through d). Is the distribution unimodal or multimodal? The distribution is unimodal. Where is(are) the mode(s)? The mode of the data is around $50. The mode of the data is around $30. The modes of the data are around $0 and $90. The modes of the data are around $10 and $80.

Solution

a) is the given distribution is unimodel are multimodel.

A unimodal distribution is a distribution with one clear peak or most frequent value. The values increase at first, rising to a single peak where they then decrease. The “mode” in “unimodal” doesn’t refer to the most frequent number in a data set — it refers to the local maximum in a chart. Technically there are the same thing: one mode (one common number) will equal one peak in a graph. However, when you are looking at a graph and trying to decide if it’s a unimodal distribution or not, there’s no list of numbers to guide you.

The normal distribution is an example of a unimodal distribution; The normal curve has one local maximum (peak).

Multimodal distributions, where there are more than two peaks, are very rare.

The above distribution shows one clear peak hence it will be an unimodel distribution.

b) the mode of the data

The “mode” in “unimodal” doesn’t refer to the most frequent number in a data set — it refers to the local maximum in a chart.

from the above distribution chart the mode of the data is around $30.

Answer B).