This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Let's use the provided table to explain how to draw the histogram.
Step 1: Review the frequency distribution table. The table provides the following information: • Class Limits: The intervals for the data (e.g., ). • Frequency: The count of data points in each class. • Class Boundaries: The continuous intervals for plotting on the x-axis (e.g., ). • Class Center: The midpoint of each class.
The frequencies are: • : • : • : • : • : • : • :
The sum of these frequencies is . This matches the total frequency written in the table. (My previous check had a calculation error, apologies for that. The total is indeed 50.)
Step 2: Set up the axes for the histogram. • Draw a horizontal axis (x-axis) and label it "Class Boundaries" or "Scores". Mark the class boundaries: . • Draw a vertical axis (y-axis) and label it "Frequency". Scale this axis from up to at least the maximum frequency, which is . A scale of to with increments of or would be appropriate.
Step 3: Draw the bars for each class. For each class interval, draw a rectangular bar: • The width of each bar will span from its lower class boundary to its upper class boundary on the x-axis. • The height of each bar will correspond to its frequency on the y-axis. The bars should touch each other, as the class boundaries are continuous.
Here's how to draw each bar: • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis. • For the class (boundaries ): Draw a bar from to on the x-axis, with a height of on the y-axis.
This process will result in a complete histogram representing the given frequency distribution.
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Review the frequency distribution table. The table provides the following information: • Class Limits: The intervals for the data (e.g., 30-39).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.