Question

the class boundaries should have been: 0.45, 2.15, 3.85, 5.55, 7.25, 8.95, 10.65, 12.35, 14.05. these class boundaries are used as dividers for the bars on the histogram. each class boundary is represented on the horizontal axis below. at the center of each interval is a point represented by a large black dot. drag the five dots to the correct heights for the bars of the histogram. note: if any frequency is zero (0), drag its bar up a bit, then back down to zero so that the value is registered.

Explanation:

To solve this, we analyze the histogram and class boundaries:

Step 1: Identify Intervals and Frequencies

The class boundaries divide the axis into intervals. We check the height (frequency) of each interval’s bar:

• Interval \( 0.45 - 2.15 \): Frequency \( 0 \) (dot at \( y=0 \)).
• Interval \( 2.15 - 3.85 \): Frequency \( 0 \) (dot at \( y=0 \)).
• Interval \( 3.85 - 5.55 \): Frequency \( 0 \) (dot at \( y=0 \)).
• Interval \( 5.55 - 7.25 \): Frequency \( 7 \) (dot at \( y=7 \)).
• Interval \( 7.25 - 8.95 \): Frequency \( 0 \) (dot at \( y=0 \)).
• Interval \( 8.95 - 10.65 \): Frequency \( 3 \) (dot at \( y=3 \)).
• Interval \( 10.65 - 12.35 \): Frequency \( 4 \) (dot at \( y=4 \)).
• Interval \( 12.35 - 14.05 \): Frequency \( 0 \) (dot at \( y=0 \)).

Step 2: Adjust Dots (if needed)

For intervals with frequency \( 0 \), drag the dot up slightly then back to \( 0 \) to register the value. For non - zero frequencies, position the dot at the bar’s height (e.g., \( y = 7 \) for \( 5.55 - 7.25 \), \( y = 3 \) for \( 8.95 - 10.65 \), \( y = 4 \) for \( 10.65 - 12.35 \); others at \( y = 0 \)).

Answer:

• Dot at \( 0.45 - 2.15 \) interval: \( y = 0 \) (after registering zero).
• Dot at \( 2.15 - 3.85 \) interval: \( y = 0 \) (after registering zero).
• Dot at \( 3.85 - 5.55 \) interval: \( y = 0 \) (after registering zero).
• Dot at \( 5.55 - 7.25 \) interval: \( y = 7 \).
• Dot at \( 7.25 - 8.95 \) interval: \( y = 0 \) (after registering zero).
• Dot at \( 8.95 - 10.65 \) interval: \( y = 3 \).
• Dot at \( 10.65 - 12.35 \) interval: \( y = 4 \).
• Dot at \( 12.35 - 14.05 \) interval: \( y = 0 \) (after registering zero).