Question

what two types of graphs are most common when the categories are qualitative data? describe the construction of each
select the two choices below that correctly answer the question above.
a. a frequency table has two columns. the first column lists all of the categories of data. the second column lists the frequency of each category.
b. in a pie chart, each category corresponds to a wedge of a circle. the size of each wedge is proportional to the relative frequency of the category it represents.
c. in a bar graph, the categories are clearly indicated along the horizontal axis. over each category is a rectangle whose height indicates the frequency or relative frequency of the category. numbers along the vertical axis clearly indicate the scale.
d. in a bar graph, each category corresponds to a wedge of a circle. the size of each wedge is proportional to the relative frequency of the category it represents.
e. in a pie chart, the categories are clearly indicated along the horizontal axis. over each category is a rectangle whose height indicates the frequency or relative frequency of the category. numbers along the vertical axis clearly indicate the scale.
f. in a frequency table, each category corresponds to a wedge of a circle. the size of each wedge is proportional to the relative frequency of the category it represents.

Explanation:

• Pie Chart: A pie chart uses a circle divided into wedges. Each wedge represents a category, and its size is proportional to the relative frequency of that category.
• Bar Graph: In a bar graph, categories are on the horizontal axis. Above each category is a rectangle (bar) whose height shows the frequency or relative frequency. The vertical axis has a scale for measurement.

Answer:

B. In a pie chart, each category corresponds to a wedge of a circle. The size of each wedge is proportional to the relative frequency of the category it represents.
C. In a bar graph, the categories are clearly indicated along the horizontal axis. Over each category is a rectangle whose height indicates the frequency or relative frequency of the category. Numbers along the vertical axis clearly indicate the scale.