Chapter 2, Problem 1CR

Terminology Consider the following graph types: histogram, relative-frequency graph, ogive. Match each type to the appropriate description:

(i) Shows cumulative frequency (or percent of data) falling at or below each upper class boundary in a frequency table

(ii) Shows number of data falling within each distinct class of a frequency table

(iii) Shows the relative frequency (or percent) of all data tailing within each class of a frequency table

To determine

The appropriate graph type to description..

Answer to Problem 1CR

Solution: The appropriate graph type to description is an Ogive graph.

Explanation of Solution

A cumulative frequency graph or Ogive is a line graph displaying the cumulative frequency of each class at its upper class boundary. The upper boundaries are marked on the horizontal axis, and the cumulative frequencies are marked on the vertical axis. The graph should start at (or just before) the lower boundary of the first class (where the cumulative frequency is zero), and end at the upper boundary of the last class. The graph should be increasing from left to right, and the points should be evenly spaced along the horizontal axis.

Hence, the graph type of description “Shows cumulative frequency (percent data) falling at or below upper-class boundary in a frequency table” is an Ogive graph.

To determine

The appropriate graph type to description..

Answer to Problem 1CR

Solution: The appropriate graph type to description is histogram.

Explanation of Solution

A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation  of numerical data by showing the number of data points that fall within a specified range of values (called “bins”). It provides effective visual displays of data organized into frequency tables. The height of the bar is the class frequency of that class.

Hence, the graph type of description “Shows number of data falling within each distinct class of a frequency table” is histogram.

To determine

The appropriate graph type to description..

Answer to Problem 1CR

Solution: The appropriate graph type to description is relative-frequency graph.

Explanation of Solution

A relative-frequency graph is used to summarize discrete or continuous data. In other words, it provides a visual interpretation  of numerical data by showing all the data points that fall within a specified range of values (called “bins”). It provides effective visual displays of data organized into frequency tables. The height of the bar is the class frequency of that class. A relative frequency histogram uses the same information as a frequency histogram but compares each class interval to the total number of items.

Hence, the graph type of description “Shows relative frequency (or percent) all data falling within each class of a frequency table” is relative-frequency graph.