High and Low Temperatures. The U.S. National Oceanic and Atmospheric Administration publishes temperature data in Climatography of the United States. According to that document, the annual average maximum and minimum temperatures for selected cities in the United States are as provided on the WeissStats site. [Note: Do parts (a)-(f) for both the maximum and minimum temperatures.]

a. identify the population and variable under consideration.

b. use the technology of your choice to obtain and interpret a frequency histogram, a relative-frequency histogram, or a percent histogram of the data.

c. use the technology of your choice to obtain a dot plot of the data.

d. use the technology of your choice to obtain a stem-and-leaf diagram of the data.

e. identify the modality and symmetry (or non symmetry) of the distribution.

f. if the distribution is unimodal and nonsymmetric, state whether it is right skewed or left skewed.

We have to identify the population and variable under consideration

In a dot plot, a dot is placed above the relevant number on the number line for each piece of data.

We have to obtain and interpret a frequency histogram, a relative-frequency histogram, or a percent histogram of the data

The number of data values that fall into a class is known as frequency.

The frequency and relative frequency is given in Figure

We have to obtain a dot plot of the data.

The number of data values that fall into a class is known as frequency.

The dot plot is shown below

We have to obtain a stem-and-leaf diagram of the data.

The number of data values that fall into a class is known as frequency.

Therefore the stem-and-leaf is shown in the figure

We have to identify the modality and symmetry (or non-symmetry) of the distribution

The number of data values that fall into a class is known as frequency.

The property of a symmetric picture is that one part of the curve is the mirror image of the other.

Given in the question that, the annual average maximum and minimum temperatures for selected cities in the United States are as provided on the WeissStats site.

We have to find if the distribution is unimodal and nonsymmetric, state whether it is right skewed or left skewed.

The information is also said to be skewed if it lacks symmetry and results lie on one side of the distribution, whether left or right.

Right skewed: If the tail of the distribution is stretched to the right and reaches its peak faster than the horizontal axis, the distribution is right skewed. Positively skewed is another term for it.

Left skewed: If the tail of the distribution is stretched to the right, and it reaches its horizontal axis faster than its apex, it is a right skewed distribution. Positively skewed is another term for it.

Low temperature outputs do not have a symmetric distribution and also have a prolonged tail to the right. As a result, the output distribution is skewed to the right.