Question

A survey of 9,000 customers at Ron’s grocery store showed that 35% (3,150 customers) would buy Grainy-Os cereal. In the first month, 4,200 out of the 9,000 customers bought the cereal. What was the percent error in the survey estimate of the number of people buying Grainy-Os?

Answer 1

Answer:

The percent error in the survey is 25%

explanation:

Percent error is the difference between an approximated value and

 exact value, divided by the exact value, multiplied by 100%

- Percent of error is a positive value

- error% = [I approximated value - exact value I ÷ exact value] × 100%

- A survey of 9,000 customers at Ron’s grocery store showed that

 35% (3,150 customers) would buy Grainy-Os cereal

- In the first month, 4,200 out of the 9,000 customers bought the cereal

∴ The approximated value is 3150

∴ The exact value is 4200

∴ The percent of error = \frac{3150-4200}{4200}42003150−4200 × 100%

∴ The percent of error = I-0.25I × 100% = 25%