Question 60

Histogram is the appropriate method to display this data.

A histogram is a graphical representation that organizes a group of data points into specified ranges, making it ideal for displaying the distribution of numerical data.

A) Box plot

A box plot summarizes data through five-number summaries (minimum, first quartile, median, third quartile, and maximum) and is effective for highlighting outliers. However, it does not effectively display the frequency or distribution of data within specific intervals, making it less suitable for this scenario.

B) Stem plot

A stem plot displays quantitative data in a way that retains the original values while allowing for a quick visual comparison. While it can show distribution, it is better suited for smaller datasets and lacks the clarity provided by a histogram when dealing with larger sets of numerical data.

C) Histogram

A histogram is specifically designed to show the frequency distribution of numerical data by dividing the data into intervals (bins). This makes it the most appropriate choice for visualizing how data points are distributed across specified ranges, allowing for easy interpretation of patterns and trends.

D) Pie chart

A pie chart is used to represent categorical data and shows the proportion of each category relative to the whole. It is not suitable for displaying numerical data distribution or frequency, which is why it does not effectively represent the data in question.

Conclusion

The histogram is the most effective method for displaying numerical data distribution, as it clearly illustrates the frequency of data points across defined intervals. In contrast, the other options either summarize data without showing distribution (box and stem plots) or misrepresent numerical data by focusing on proportions (pie chart). Thus, the histogram stands out as the superior choice for this task.