Which data display is particularly suited for showing where individual data points fall within a distribution?

Which data display is particularly suited for showing where individual data points fall within a distribution?

• A. Bar chart.
• B. Stem-and-leaf display.
• C. Pie chart.
• D. Histogram.

Answer: (B)

When you want to see exactly where each data value sits in the overall spread, you need a display that keeps the individual observations visible while still showing the distribution. A stem-and-leaf plot does just this: it splits each number into a stem (the leading digits) and a leaf (the last digit), and then lists the data in order. You can scan down the stems and immediately see every value, along with the shape of the distribution, any gaps, clusters, and outliers. It’s especially useful for small to moderate data sets where you want both the precise numbers and the overall pattern. In contrast, a bar chart focuses on counts by category, not on numeric values along a scale. A pie chart shows proportions of a whole, which also doesn’t reveal where individual numbers fall on the distribution. A histogram displays frequencies in bins, which highlights the distribution shape but hides the exact data points, making it harder to spot the precise values.

When you want to see exactly where each data value sits in the overall spread, you need a display that keeps the individual observations visible while still showing the distribution. A stem-and-leaf plot does just this: it splits each number into a stem (the leading digits) and a leaf (the last digit), and then lists the data in order. You can scan down the stems and immediately see every value, along with the shape of the distribution, any gaps, clusters, and outliers. It’s especially useful for small to moderate data sets where you want both the precise numbers and the overall pattern.

In contrast, a bar chart focuses on counts by category, not on numeric values along a scale. A pie chart shows proportions of a whole, which also doesn’t reveal where individual numbers fall on the distribution. A histogram displays frequencies in bins, which highlights the distribution shape but hides the exact data points, making it harder to spot the precise values.