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Product Ratings

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Product Ratings


1. **State the problem:** We have ratings for a mobile phone from 1 to 5 stars and the number of users who gave each rating. We need to find: a) The weighted average rating. b) An opinion on whether the product is well-rated overall. 2. **Calculate the weighted average rating:** The weighted average is calculated by multiplying each rating by the number of users who gave that rating, summing these products, and dividing by the total number of users. Given data: - Ratings: $5,4,3,2,1$ - Users: $120,80,30,10,10$ Calculate total users: $$ \text{Total users} = 120 + 80 + 30 + 10 + 10 = 250 $$ Calculate weighted sum: $$ (5 \times 120) + (4 \times 80) + (3 \times 30) + (2 \times 10) + (1 \times 10) = 600 + 320 + 90 + 20 + 10 = 1040 $$ Now calculate weighted average: $$ \text{Weighted average} = \frac{1040}{250} = 4.16 $$ 3. **Interpretation:** A weighted average rating of $4.16$ out of $5$ indicates that the product is generally well-rated by users. **Final answer:** \boxed{4.16} (weighted average rating)