Where do the young live? Below is a stem plot of the percent of residents aged $25$ to $34$ in each of the $50$ states. As in the stem plot for older residents (page 35), the stems are whole percent and the leaves are tenths of a percent. This time, each stem has been split in two, with values having leaves $0$ through$4$ placed on one stem, and values ending in $5$ through $9$ placed on another stem.

(a) Why did we split stems?

(b) Utah has the highest percentage of residents aged $25$ to $34$. What is that percent? Why do you think Utah has an unusually high percentage of residents in this age group?

(c) Describe the shape, center, and spread of the distribution, ignoring Utah.

The stemplot is,

Shape: The peak of the dot plot is at This means that during that season, the team's most common number of goals scored in games (known as the mode) was The United States women's soccer team scored between one and five goals in the majority of its games. The distribution, however, has a large tail to the right.

Centre: can be described by selecting a value that divides the observations in half, with the bigger half taking greater values and the smaller half taking lower values.

The spread of distribution indicates the amount of variability in the data. Giving the smallest and greatest values is one approach to describe the variability.

To get a better picture of the distribution, the stem has been dissected. It will give the distribution a visible peak at $13$ and a better view or symmetry. The stem and leaf plot comprises only six rows if it is not split, making it difficult to observe the distribution of values.

We can deduce from the above stem plot that$16\%$ of Utah citizens are between the ages of $25$ and $34$. The normal percentages range from $11$ to $15$, but because the percent $16$ falls outside of this range, we can classify it as an outlier. The unusually high percentage is most likely due to Mormonism in Utah.

The distribution is unimodal, with a single peak, and essentially symmetrical (slightly biased to the right). The distribution's center is at $13\%$, and the dispersion is mean $>$ median$>$ mode. The distribution's range is between $11$ and $16$ percent $16-11=5$