Given the following frequency distribution, which class interval contains the median value? Class Intervals: (frequency: ), (frequency: ), (frequency: ), (frequency: ), (frequency: ).
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Frequency Distributions
Multiple Choice
Which of the following could be a cumulative frequency graph?
A
An ogive
B
A histogram
C
A pie chart
D
A bar chart
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Verified step by step guidance1
Step 1: Understand what a cumulative frequency graph represents. It shows the accumulation of frequencies up to a certain class or value, meaning each point on the graph represents the total frequency for all classes up to that point.
Step 2: Recognize that an ogive is a type of graph specifically designed to display cumulative frequencies. It is constructed by plotting cumulative frequencies against the upper class boundaries and connecting the points with a smooth curve or straight lines.
Step 3: Recall the characteristics of the other options: a histogram displays frequencies for individual classes using bars, a pie chart shows proportions of categories as slices of a circle, and a bar chart compares frequencies or counts for different categories with separate bars.
Step 4: Compare these characteristics to the definition of a cumulative frequency graph. Since only the ogive accumulates frequencies and plots them cumulatively, it fits the description of a cumulative frequency graph.
Step 5: Conclude that among the given options, the ogive is the correct choice for a cumulative frequency graph because it visually represents the running total of frequencies.
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