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?
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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%
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