Answer:
The histogram will have bars for each digit, with the height of each bar corresponding to the frequency of that digit.
Explanation:
To construct the histogram, we will use the frequency distribution provided. The x-axis will represent the digits, and the y-axis will represent the frequency of each digit.
Digit: 0 1 2 3 4 5 6 7 8 9
Frequency: 15 3 5 3 4 16 4 4 5 4
Based on the histogram, we can observe the following:
- The digit 5 has the highest frequency (16), suggesting that it is the most common last digit reported for the heights of the statistics students.
- The digits 0, 2, and 8 also have relatively high frequencies, indicating that they are also frequently reported as the last digits of the heights.
- The digits 1, 3, 4, 6, 7, and 9 have lower frequencies, suggesting that they are less commonly reported as the last digits of the heights.
From this distribution, it appears that the heights are reported rather than actually measured. If the heights were accurately measured, we would expect a relatively equal distribution of the last digits.
The fact that certain digits have higher frequencies than others suggests that the reported heights may be rounded or biased in some way.