Histogram Bins 2Af25E
1. The problem asks to create a histogram for the data points representing the points scored by the Hawaii Eagles football team: 17, 33, 28, 23, 10, 42, 3.
2. A histogram groups data into bins (intervals) and counts how many data points fall into each bin.
3. The bins exclude the left endpoint and include the right endpoint, meaning a data point $x$ belongs to a bin $(a,b]$ if $a < x \leq b$.
4. First, find the range of the data: minimum is 3, maximum is 42.
5. Choose bin intervals to cover the range. For example, bins of width 10: (0,10], (10,20], (20,30], (30,40], (40,50].
6. Count data points in each bin:
- (0,10]: includes 3 and 10 (since 10 is included), count = 2
- (10,20]: includes 17, count = 1
- (20,30]: includes 23, 28, count = 2
- (30,40]: includes 33, count = 1
- (40,50]: includes 42, count = 1
7. The histogram bins and counts are:
- (0,10]: 2
- (10,20]: 1
- (20,30]: 2
- (30,40]: 1
- (40,50]: 1
This completes the histogram creation based on the given data and bin rules.