Population

size: 50

Mean: 6268698

Median: 4521364

Minimum:600626

Maximum: 38053956

First Quartile: 1783876.25

Third Quartile: 7147784.5

Standard Deviation: 6904005

The mean of this data set is the average number of people in each state, and the median is the middle value of the set. The five-number summary tells us not only the average number of people in any given US state (also known as the mean), but it also gives us the smallest and largest numbers of people in any state. The smallest (also known as the minimum) is Wyoming, and the largest (also known as the maximum) is California. It also lists the first and third quartiles. The first quartile is the middle number between the smallest number of people and the median number of people, and the third quartile is the middle number betweenthe median number of people and the largest number of people.

There is one peak in the data, and it is the population of California, which is listed as 38,053,956. There are no gaps or clusters, and the outliers include 38,053,956, 25,901,361, 19,465,197, 19,057,542, 12,902,379, and 12,869,257. This data set is not skewed either way, and the results are varied and spread out. This relates to the standard deviation, in that it shows how far some of the results are from the mean. The range of this data set is 37,453,330; the IQR is 5,363,908.25.

The line graph shows the variation in the populations over the 50 states, as does the histogram. That’s not really shown in the pie graph or the box and whisker plot. The box and whisker plot, however, makes it easier to see the outliers and also the maximum. The pie chart is best for comparing the sizes of the slices. The graph that best illustrates the data, however, is the histogram. It not only best shows you the minimum and maximum of the set, but it’s also easier to interpret.