1. **State the problem:** We have relative frequencies of samples with harmful pollution levels for each day, and each day 500 samples are taken. We need to find the range of the number of harmful samples each day. 2. **Calculate the number of harmful samples each day:** Multiply the relative frequency by the total samples (500) for each day. - Monday: $0.034 \times 500 = 17$ - Tuesday: $0.05 \times 500 = 25$ - Wednesday: $0.028 \times 500 = 14$ - Thursday: $0.04 \times 500 = 20$ - Friday: $0.046 \times 500 = 23$ 3. **Find the range:** The range is the difference between the maximum and minimum number of harmful samples. - Maximum = 25 (Tuesday) - Minimum = 14 (Wednesday) $$\text{Range} = 25 - 14 = 11$$ **Final answer:** The range of the number of samples with harmful pollution levels each day is 11.