1. **State the problem:** We need to construct a categorical frequency distribution for the given data on how much trust people place in the information they read on the Internet. 2. **List the classes:** The classes are categories of trust: A (trust in everything), M (trust in most), H (trust in about half), S (trust in a small portion). 3. **Tally the data:** Count each occurrence of A, M, H, and S in the data. Data: M M M A H M S M H M S M M M M A M M A M M M H M M M H M H M A M M M H M M M M M Tally: - A: ||| - M: |||||||||||||||||||||||||||| - H: |||| - S: || 4. **Frequency:** Count the tallies. - A: 4 - M: 26 - H: 5 - S: 2 5. **Calculate total number of values:** $$n = 4 + 26 + 5 + 2 = 37$$ 6. **Calculate percent (relative frequency) for each class:** $$\text{Percent} = \frac{f}{n} \times 100\%$$ - A: $$\frac{4}{37} \times 100 \approx 10.81\%$$ - M: $$\frac{26}{37} \times 100 \approx 70.27\%$$ - H: $$\frac{5}{37} \times 100 \approx 13.51\%$$ - S: $$\frac{2}{37} \times 100 \approx 5.41\%$$ **Final table:** | Class | Tally | Frequency | Percent | |-------|-------|-----------|---------| | A | ||| | 4 | 10.81% | | M | |||||||||||||||||||||||||||| | 26 | 70.27% | | H | |||| | 5 | 13.51% | | S | || | 2 | 5.41% | This completes the categorical frequency distribution for the given data.