Question

1. what is the average length of group as data? a. 17.0 cm b. 16 cm c. 17.2 cm d. 68.7 cm
2. which groups data is more precise? a. group a b. group b c. both d. neither
3. if the actual length of the object is 16.1 cm, which set of data is more accurate? a. group a b. group b c. both d. neither
4. convert the actual length to kilometers. a. 1.61 km b. 0.0161 km c. 161000 km d. 0.000161 km
5. which type of graph would be best for representing this type of data? a. bar graph b. pie chart c. line graph

Explanation:

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Step1: Calculate average for Group A

Average = $\frac{16.8 + 17.5+17.0 + 17.4}{4}=\frac{68.7}{4}=17.175\approx17.2$ cm

Step2: Calculate average for Group B

Average = $\frac{15.5+15.0 + 13.0+19.5}{4}=\frac{63}{4}=15.75$ cm
The average length of Group A's data is 17.2 cm.

Precision refers to the closeness of repeated measurements to each other. Group A values: 16.8, 17.5, 17.0, 17.4 are closer to each other compared to Group B values: 15.5, 15.0, 13.0, 19.5.

Accuracy is how close a measurement is to the true - value. The true value is 16.1 cm.
For Group A: The average is 17.2 cm, deviation from true value = $|17.2 - 16.1|=1.1$ cm
For Group B: The average is 15.75 cm, deviation from true value = $|15.75 - 16.1| = 0.35$ cm
Group B has a smaller deviation from the true value, so Group B is more accurate.

Answer:

C. 17.2 cm

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