Question

1. a sign at a toy store says that large bags of marbles contain 250 marbles and small bags contain 150 marbles. tyrone buys one of each type of bag. he counts 240 marbles in the large bag and 157 marbles in the small bag. which bag had the greater percent error? explain.

Explanation:

Step1: Find error for large bag

Error = |Reported - Actual| = $|250 - 240| = 10$

Step2: % error for large bag

$\text{Percent Error} = \frac{|\text{Reported}-\text{Actual}|}{\text{Reported}} \times 100\% = \frac{10}{250} \times 100\% = 4\%$

Step3: Find error for small bag

Error = |Reported - Actual| = $|150 - 157| = 7$

Step4: % error for small bag

$\text{Percent Error} = \frac{|\text{Reported}-\text{Actual}|}{\text{Reported}} \times 100\% = \frac{7}{150} \times 100\% \approx 4.67\%$

Step5: Compare the two values

$4.67\% > 4\%$

Answer:

The small bag had the greater percent error. The large bag has a 4% percent error, while the small bag has an approximately 4.67% percent error, which is larger.