Question

A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 40% discount. Otherwise, you get a 25% discount. The table shows the results of 400 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the 25% discount, does this seem like an appropriate method? Explain.

Discounts
Card 1 2 3 4 5 6 7 8 9 10
Number 37 34 40 32 44 39 29 34 45 66

Answer 1

The relative frequency for a 10% discount is 0.085, for a 40% discount is 0.0725, and for a 25% discount is 0.8425. The current method doesn't seem appropriate if the manager wants approximately half of the customers to receive the 25% discount.

Step-by-step explanation:

To find the relative frequency for each discount, we divide the frequency of each discount by the total number of customers, which is 400. The relative frequency for a 10% discount is 34/400 = 0.085, for a 40% discount is 29/400 = 0.0725, and for a 25% discount is 337/400 = 0.8425.

If the manager wants approximately half of the customers to receive the 25% discount, then the current method doesn't seem appropriate. Based on the data, the majority of customers are receiving the 25% discount. The manager may need to adjust the distribution of cards to achieve their desired outcome.