Mathematics
Mathematics
Problem
The table below gives the number of days in a month during which the daily temperature fell within the given ranges. Temperature Range (°C): 20–24, 25–29, 30–34, 35–39, 40–44 Number of Days: 3, 7, 10, 8, 2 Which type of graph would best display this information? a) \text{Pie chart} b) \text{Bar graph} c) \text{Histogram} d) \text{Line graph}Intuitive explanation
This problem asks you to match data to its ideal visual representation—a core skill in data literacy. Since you have categorical temperature ranges paired with frequencies (counts of days), you need a graph that shows how often each category occurs. A histogram or bar chart excels here because it lets you instantly compare the heights of adjacent categories and see the overall distribution shape, revealing that mid-range temperatures (30–34°C) were most common. The key insight is recognizing that frequency data with grouped categories calls for a graph with distinct bars, not a line or pie chart.
Intuitive explanation
This problem asks you to match data to its ideal visual representation—a core skill in data literacy. Since you have categorical temperature ranges paired with frequencies (counts of days), you need a graph that shows how often each category occurs. A histogram or bar chart excels here because it lets you instantly compare the heights of adjacent categories and see the overall distribution shape, revealing that mid-range temperatures (30–34°C) were most common. The key insight is recognizing that frequency data with grouped categories calls for a graph with distinct bars, not a line or pie chart.