Question

The store manager estimates that 1200 people visit the store on its grand opening day a total of 1435 people actually attend the grand opening. what is the percent eror of the manager 's estimate?

Answer 1

The manager's estimate had a percent error of approximately 16.38%, calculated by taking the absolute difference between the estimated and actual values, dividing by the actual value, and multiplying by 100.

Step-by-step explanation:

The question involves calculating the percent error for the store manager's estimate of the number of people attending a grand opening. Percent error is a measure used to assess how accurate an estimate or measurement is, compared to the actual value. To find the percent error, the difference between the estimated value and the actual value is divided by the actual value, and then the result is multiplied by 100 to convert it to a percentage.

In this case, the estimated number of people (estimated value) is 1200 and the actual number of attendees (actual value) is 1435. To calculate the percent error, we use the formula:

Percent Error = (|Estimated Value - Actual Value| / Actual Value) × 100

Substituting the values:

Percent Error = (|1200 - 1435| / 1435) × 100

Percent Error = (235 / 1435) × 100

Percent Error ≈ 16.38%

Thus, the percent error of the manager's estimate is approximately 16.38%.