1. **State the problem:** We need to find the mean (average) number of trips to the mall last month based on the given frequency data. 2. **Understand the data:** The number of trips ($x$) and their frequencies ($f$) are: - $x=1$, $f=2$ - $x=2$, $f=3$ - $x=3$, $f=2$ - $x=4$, $f=3$ - $x=5$, $f=4$ - $x=6$, $f=1$ 3. **Formula for mean of grouped data:** $$\text{Mean} = \frac{\sum (x \times f)}{\sum f}$$ 4. **Calculate the sum of frequencies:** $$\sum f = 2 + 3 + 2 + 3 + 4 + 1 = 15$$ 5. **Calculate the sum of products $x \times f$:** $$\sum (x \times f) = (1 \times 2) + (2 \times 3) + (3 \times 2) + (4 \times 3) + (5 \times 4) + (6 \times 1)$$ $$= 2 + 6 + 6 + 12 + 20 + 6 = 52$$ 6. **Calculate the mean:** $$\text{Mean} = \frac{52}{15} \approx 3.47$$ 7. **Interpretation:** On average, people visited the mall about 3.47 times last month.