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Which of these data sets is best displayed using a histogram?

Class 8Data HandlingData Handling
  • AHeights of 50 students grouped into intervals 130–140, 140–150, ...
  • BNumber of students choosing each of 4 favourite colours
  • CA family's budget split among food, rent, savings
  • DDaily maximum temperature over a single week

Step-by-Step Solution

Histograms are for continuous data grouped into class intervals, like heights. Discrete categories suit a bar graph; budget shares suit a pie chart.
Answer: A) Heights of 50 students grouped into intervals 130–140, 140–150, ...

Key idea: Histograms — bars that touch

A histogram is a bar graph for **grouped** data:

- The -axis shows class intervals (continuous, so bars TOUCH).
- The -axis shows frequency.
- Bar widths are equal (one per class).
- Bar height = frequency of that class.

Difference from a regular bar graph: bar graphs separate distinct categories with gaps; histograms show continuous data with no gaps.

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