Question

luka and anja each measured the height of their friend three times. their friend is 59 inches tall. they recorded their measurements as shown. luka: 59 in., 58 in., 58 in. anja: 59.3 in., 59.6 in., 58.2 in. which statement is true? lukas measurements are more precise and more accurate. anjas measurements are more precise and more accurate. lukas measurements are more precise, but anjas measurements are more accurate. lukas measurements are more accurate, but anjas measurements are more precise.

Explanation:

Step1: Define accuracy and precision

Accuracy is closeness to true - value, precision is closeness of measurements to each other.

Step2: Analyze Luka's measurements

Luka's measurements are 59 in., 58 in., 58 in. The true height is 59 inches. One measurement is correct, and the others are 1 inch off. The measurements are clustered closely (58 and 59), so they are somewhat precise. And they are relatively close to the true - value, so they are accurate.

Step3: Analyze Anja's measurements

Anja's measurements are 59.3 in., 59.6 in., 58.2 in. They are more spread out (from 58.2 to 59.6), so they are less precise. Also, they deviate more from the true value of 59 inches compared to Luka's measurements, so they are less accurate.

Answer:

Luka's measurements are more precise and more accurate.