Question

hours of television per week
label: \\(\square\\)\\(-\\)\\(\square\\) done
0 - 4, 4 - 8, 12 - 16, labels (x - axis)
(y - axis: 0,10,20,30,40,50,60)

Explanation:

Step1: Analyze the pattern of intervals

The existing intervals are \(0 - 4\), \(4 - 8\), \(12 - 16\). The first two intervals have a width of \(4\) (since \(4 - 0 = 4\), \(8 - 4 = 4\)). After \(8\), the next interval should be \(8 - 12\) (but it's skipped here), then \(12 - 16\) (width \(4\)). So the next interval after \(12 - 16\) should follow the pattern of width \(4\). The previous interval ends at \(16\), so the new interval should start at \(16\) and end at \(16 + 4=20\)? Wait, no, looking at the x - axis labels: \(0 - 4\) (width 4), \(4 - 8\) (width 4), then there is a gap? Wait, no, maybe the intervals are in steps of 4, but there was a typo or missing. Wait, the first three intervals: \(0 - 4\) (0 to 4), \(4 - 8\) (4 to 8), then \(12 - 16\) (12 to 16). Wait, maybe the missing interval between \(8\) and \(12\) is skipped, but the last interval after \(12 - 16\) should be \(16 - 20\)? Wait, no, looking at the bar graph, the labels are \(0 - 4\), \(4 - 8\), \(12 - 16\), and then the next one. Wait, the difference between the end of one interval and the start of the next: \(0 - 4\), next starts at 4; \(4 - 8\), next should start at 8, but it's \(12 - 16\). Wait, maybe it's a mistake, but the pattern of the interval width is 4. So after \(12 - 16\) (ends at 16), the next interval should be \(16 - 20\)? No, wait, the first two intervals are 0 - 4, 4 - 8 (each 4 hours). Then maybe the third should be 8 - 12, then 12 - 16, then 16 - 20. But in the graph, the third is 12 - 16, so the fourth should be 16 - 20? Wait, no, the last bar's label is to be filled. Let's check the x - axis intervals. The first interval: 0 - 4 (0 to 4), second: 4 - 8 (4 to 8), third: 12 - 16 (12 to 16). Wait, the difference between 8 and 12 is 4, so maybe the intervals are 0 - 4, 4 - 8, 8 - 12, 12 - 16, 16 - 20. But the third bar is labeled 12 - 16, so the fourth should be 16 - 20? No, wait, maybe the intervals are in steps of 4, but there was a skip. Wait, the first two intervals: 0 - 4 (width 4), 4 - 8 (width 4), then the next should be 8 - 12 (width 4), then 12 - 16 (width 4), then 16 - 20 (width 4). But in the graph, the third bar is 12 - 16, so the fourth bar (the last one) should have the label \(16 - 20\)? Wait, no, maybe I made a mistake. Wait, the x - axis labels: 0 - 4, 4 - 8, 12 - 16, and then the next. Let's see the start of each interval: 0, 4, 12,?. The difference between 4 and 12 is 8, but that's not 4. Wait, maybe it's a different pattern. Wait, the first interval: 0 - 4 (4 hours), second: 4 - 8 (4 hours), third: 12 - 16 (4 hours). So the start of the third interval is 12, which is 4 more than 8 (if we skip 8 - 12). So the pattern of the start of the interval: 0, 4, 12,?. The difference between 4 and 12 is 8, but maybe it's a mistake, and the intended pattern is 4 - hour intervals. So after 12 - 16 (ends at 16), the next interval should be 16 - 20. But wait, the first two are 0 - 4, 4 - 8 (each 4 hours), then 12 - 16 (4 hours), so the next should be 16 - 20. Alternatively, maybe the intervals are 0 - 4, 4 - 8, 8 - 12, 12 - 16, 16 - 20, but the third is labeled 12 - 16, so the fourth is 16 - 20. Wait, no, let's think about the number of hours. The first interval: 0 - 4 (0 to 4 hours), second: 4 - 8 (4 to 8 hours), then the next should be 8 - 12 (8 to 12 hours), then 12 - 16 (12 to 16 hours), then 16 - 20 (16 to 20 hours). But in the graph, the third is 12 - 16, so the fourth should be 16 - 20? Wait, no, the last bar's label is to be filled. Let's check the x - axis. The first interval: 0 - 4, second: 4 - 8, third: 12 - 16. So the start of the third is 12, which is 4 after 8 (if we consider 8 - 12 as missing). So the pattern of the start of the interval: 0, 4, 12,?. The difference between 4 and 12 is 8, but maybe it's a typo, and the correct intervals are 0 - 4, 4 - 8, 8 - 12, 12 - 16, 16 - 20. So the last interval (the fourth bar) should be 16 - 20? Wait, no, the last bar is after 12 - 16, so the start should be 16, and end at 20 (since each interval is 4 hours). So the label should be 16 - 20? Wait, no, maybe I'm overcomplicating. Let's look at the interval width. The first interval: 4 - 0 = 4, second: 8 - 4 = 4, third: 16 - 12 = 4. So each interval is 4 hours. So the start of each interval: 0, 4, 12,?. Wait, the start of the third interval is 12, which is 4 more than 8 (if we have 8 - 12 as a missing interval). So the next interval (fourth) should start at 16 (12 + 4 = 16) and end at 16+4 = 20. So the label is 16 - 20. Wait, but maybe the third interval is supposed to be 8 - 12, then 12 - 16, then 16 - 20. So the last bar's label is 16 - 20.

Step2: Determine the interval

Since each interval has a width of 4 hours (as seen from \(0 - 4\) (width 4), \(4 - 8\) (width 4), \(12 - 16\) (width 4)), the next interval after \(12 - 16\) should start at \(16\) and end at \(16 + 4=20\). So the label should be \(16 - 20\). Wait, but maybe the third interval is a mistake, and the correct intervals are 0 - 4, 4 - 8, 8 - 12, 12 - 16, 16 - 20. So the last interval (the fourth bar) is \(16 - 20\).

Answer:

The label for the last interval should be \(16 - 20\) (so the first box is 16 and the second is 20).