Question

what type of graph is best suited for displaying the number of family members by their age ranges?
a. stem-and-leaf plot
b. pie graph
c. histogram
d. line graph

Explanation:

To determine the best graph for displaying the number of family members by age ranges, we analyze each option:

• Option A (Stem - and - leaf plot): This plot is mainly used to show the distribution of individual data values, preserving the original data. It is not the best for showing data by age ranges in a grouped manner.
• Option B (Pie graph): A pie graph is used to show the proportion of different categories relative to the whole. It is not suitable for showing the number of family members across different age ranges as it does not effectively display the frequency of each age range.
• Option C (Histogram): A histogram is specifically designed to display the frequency distribution of continuous data (such as age, which can be grouped into ranges) by using bars to represent the frequency of each interval (age range in this case). This makes it ideal for showing the number of family members in different age ranges.
• Option D (Line graph): A line graph is typically used to show the change in a variable over time or the relationship between two continuous variables. It is not appropriate for showing the number of family members by age ranges.

Answer:

C. Histogram