# How are user opinions compared?

Consider a situation where people are asked to rate a product on a scale of 1 to 5.

Product A has a rating of 3.95 based on 15,000 ratings. Product B has a rating of 4.2 based on 1000 ratings.

From the data given, can we determine which product is the preferred one? Is there a direct formula to solve problems of this type? Can anyone explain in layman's terms?

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I think greater rating implies better quality of product. So here Product B is preferred than Product A. Here we have only information about no. of rating and average of rating. I only can analyzed the data by the average of rating. Note that Product A is accepted as good by $\left(\frac{3.95}{5} \cdot 100 \right)$ % $=79$ % people and Product B is accepted as good by $\left(\frac{4.2}{5} \cdot 100 \right)$ % $=84$ % people. Here we found $5$% difference. If this difference is avoidable to you then Product A and Product B have same quality. Otherwise from this ground we prefer Product B.