Which of the following best describes how an ogive differs from a frequency polygon when visualizing quantitative data?

• A. An ogive displays cumulative frequencies, while a frequency polygon displays frequencies for each class.
• B. An ogive shows relative frequencies, while a frequency polygon shows absolute frequencies.
• C. An ogive uses bars, while a frequency polygon uses points connected by lines.
• D. An ogive is used for qualitative data, while a frequency polygon is used for quantitative data.

Answer: (A)

Verified step by step guidance

1. Step 1: Understand the purpose of an ogive and a frequency polygon. An ogive is a graph that represents cumulative frequencies, showing how many data points fall below a certain value.
2. Step 2: Recognize that a frequency polygon displays the frequency of each class or interval by plotting points at the class midpoints and connecting them with straight lines.
3. Step 3: Note that an ogive plots cumulative frequency against the upper class boundaries, which means it accumulates frequencies as you move along the x-axis.
4. Step 4: Contrast this with a frequency polygon, which plots the frequency for each class individually, not cumulatively.
5. Step 5: Conclude that the key difference is that an ogive shows cumulative frequencies, while a frequency polygon shows frequencies for each class.