Question

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4.4 ps - 18
the dot plot shows predictions for the winning time in the 200 - meter sprint. the winner finished the race in 22.2 seconds. what is the greatest percent error among the predictions?
the greatest percent error among the predictions is \\(\square\\)%
(round to the nearest tenth as needed.)

Explanation:

Step1: Identify farthest prediction

From the dot plot, the farthest prediction from the actual time (22.2 seconds) is 22.9 seconds.

Step2: Calculate absolute error

Find the difference between prediction and actual value.
$\text{Absolute Error} = |22.9 - 22.2| = 0.7$

Step3: Compute percent error

Use percent error formula: $\text{Percent Error} = \frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$
$\text{Percent Error} = \frac{0.7}{22.2} \times 100\% \approx 3.153\%$

Step4: Round to nearest tenth

Round the result to one decimal place.
$3.153\% \approx 3.2\%$

Answer:

3.2