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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?

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.\newlineGluten-Free Breads at Different Grocery Stores\newline\begin{tabular}{|ccc|} \newline& Gluten-Free Breads & Not Gluten-Free Breads \\\newline\hline Store A & 22 & 44 \\\newline\hline Store B & 77 & 1010 \\\newline\hline Store C & 33 & 1212 \\\newline\hline\newline\end{tabular}\newlineBased 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?

Full solution

Q. 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.\newlineGluten-Free Breads at Different Grocery Stores\newline\begin{tabular}{|ccc|} \newline& Gluten-Free Breads & Not Gluten-Free Breads \\\newline\hline Store A & 22 & 44 \\\newline\hline Store B & 77 & 1010 \\\newline\hline Store C & 33 & 1212 \\\newline\hline\newline\end{tabular}\newlineBased 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?
  1. Calculate Total Gluten-Free Breads: Calculate the total number of gluten-free breads at all stores combined.\newlineAdd the gluten-free breads from Store A, Store B, and Store C.\newline22 (Store A) + 77 (Store B) + 33 (Store C) = 1212
  2. Calculate Total Breads: Calculate the total number of breads (gluten-free and not gluten-free) at all stores combined.\newlineAdd the total breads from Store A, Store B, and Store C.\newline(2+4)(2 + 4) (Store A) + (7+10)(7 + 10) (Store B) + (3+12)(3 + 12) (Store C) = 6+17+15=386 + 17 + 15 = 38
  3. Calculate Relative Frequency: Calculate the relative frequency of gluten-free breads at Store A compared to all stores combined.\newlineDivide the number of gluten-free breads at Store A by the total number of gluten-free breads at all stores.\newline22 (Store A) / 1212 (Total Gluten-Free Breads) = 0.16670.1667

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