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:

Step1: Analyze the frequency values

The problem states that if any frequency is zero, we need to drag the bar up a bit and then back down to zero. Looking at the given points (dots) on the horizontal axis, all of them have a frequency of 0 (as indicated by the 0 labels below each dot's position on the horizontal axis before the vertical axis).

Step2: Adjust the dots according to the note

For each dot (corresponding to each class boundary's interval center), since the frequency is 0, we follow the note: drag each bar (dot) up a bit and then back down to zero. This means the height of each bar (the y - value of each dot) should be 0.

Answer:

All the five dots (corresponding to the intervals with class boundaries 0.45 - 2.15, 2.15 - 3.85, 3.85 - 5.55, 5.55 - 7.25, 7.25 - 8.95, 8.95 - 10.65, 10.65 - 12.35, 12.35 - 14.05? Wait, actually, the five dots (assuming maybe a typo and it's five intervals? Wait, the class boundaries are 0.45, 2.15, 3.85, 5.55, 7.25, 8.95, 10.65, 12.35, 14.05. The number of intervals is 8 - 1=7? But the problem says five dots. Maybe there's a misprint, but regardless, for each dot with frequency 0, the height is 0. So each dot should be at y = 0 (after dragging up and down as per note). So the correct heights for all the dots (that need to be adjusted) are 0.