Question

lydia and kaden measure the speed of the wind for an experiment in their science class. in the morning, lydia measured the wind speed as 15 miles per hour (mph) when the correct speed was 10 mph. in the afternoon, kaden measured the wind speed as 35 mph when the correct speed was 50 mph. which measurement do you think was more accurate? lydias measurement kadens measurement

Explanation:

Step1: Calculate relative error for Lydia

Relative error formula: $\frac{\text{Error}}{\text{Correct value}}$. For Lydia, error = 5 mph, correct value = 10 mph. Relative error = $\frac{5}{10}=0.5 = 50\%$

Step2: Calculate relative error for Kaden

For Kaden, error = 15 mph, correct value = 50 mph. Relative error = $\frac{15}{50}=0.3 = 30\%$

Since lower relative error means more accurate (relative error measures the proportion of error with respect to the correct value), and $30\%<50\%$

Answer:

Kaden's measurement