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Difficulty: EasyCumulative Frequency and Ogive

When constructing a standard cumulative frequency curve (ogive) for a grouped frequency distribution, against which statistical values on the horizontal axis are the cumulative frequencies plotted?

  1. Upper class boundariesAnswer
  2. B
    Lower class boundaries
  3. C
    Class midpoints (class marks)
  4. D
    Raw class frequencies

Answer

Upper class boundaries
In statistics, an ogive is constructed by plotting cumulative frequency on the vertical axis against the upper class boundaries of each interval on the horizontal axis.

Step-by-Step Solution

1
Identify the definition of a cumulative frequency curve (ogive).
An ogive displays running totals of data values up to a given upper limit.
By definition, the cumulative frequency at any point represents all observations up to and including the upper boundary of that class.
2
Determine the correct variable for the horizontal axis.
The horizontal axis must represent the upper class boundaries (xx-axis), while the vertical axis represents cumulative frequency (yy-axis).
This ensures the curve accurately reflects cumulative proportions at the end of each class interval.

Key Concept

Plotting Cumulative Frequency Curves (Ogives)
Estimated Time:45s
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Topics

Cumulative Frequency and Ogive

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