Question

a customer surveys the stock of gluten - free breads sold in three different grocery stores. at each grocery store, the customer counts the number of different gluten - free breads and compares it to the number of breads that are not gluten - free. the table shows the results of this survey.
gluten - free breads at different grocery stores
gluten - free breads not gluten - free breads
store a 2 4
store b 7 10
store c 3 12
based on the information in the table, what is the relative frequency of gluten - free breads sold at store a compared to those sold at all the stores combined?

Explanation:

Step1: Calculate the total number of gluten - free breads

Add the number of gluten - free breads in each store.
$2 + 7+3=12$

Step2: Calculate the relative frequency

The formula for relative frequency is $\frac{\text{Frequency of the event}}{\text{Total frequency}}$.
The frequency of gluten - free breads in Store A is $2$, and the total frequency of gluten - free breads is $12$.
So the relative frequency is $\frac{2}{12}=\frac{1}{6}$

Answer:

$\frac{1}{6}$