Question

How can histograms help you describe a population? Use the word bank above to help you explain your answer.

Answer 1

Answer: It shows the distribution of the population with respect to a characteristic, quantitative and continuous, such as the weight or height of a population. It is used to determine the degree of homogeneity of the values studied, or to see the degree of variability, and therefore, the dispersion of all the values taken by the parts.

Explanation:

A histogram is a graphical representation of a variable using bars. In such a bar, its area is proportional to the frequency of the values represented. Thus, it shows the distribution of the population, or of the sample, with respect to a characteristic, quantitative and continuous, such as the weight or height of a population. It is used to determine the degree of homogeneity of the values studied, or to see the degree of variability, and therefore, the dispersion of all the values taken by the parts.

In order to construct a histogram first we need to have a frequency table with all the information. On the abscissa axis (horizontal axis) the intervals are placed from smallest to largest.  On the ordinate axis (vertical axis), the absolute frequencies of each of the intervals are represented.  Then, the rectangular bars of equal width are drawn, and the height represents the absolute frequency. All bars touch the bars next to each other, unless an interval has zero frequency (the height of the bar will also be zero).

Thus, histograms are used to describe populations since they represent a variable and in what proportion of the population it is found.