Kendra reads in *Modern Dog Magazine* that the average age of dogs currently alive is 4.8 years. To determine if this finding applies to the customers in her pet store, Kendra surveys every 5th customer in her store who owns a dog and asks the age of their dog. She collects data for 7 weeks and obtains the following averages.


Week

Average Age (in years)

1

3.7

2

3.8

3

3.9

4

3.7

5

3.9

6

3.9

7

3.8

Based on the data provided, let's analyze Kendra's samples for both accuracy and precision.

### **1. Precision:**
Precision refers to how close the measurements are to each other. Kendra's weekly average ages are:

- 3.7, 3.8, 3.9, 3.7, 3.9, 3.9, 3.8

These values are quite close to each other, ranging only from 3.7 to 3.9. This indicates that Kendra's samples are **precise**.

### **2. Accuracy:**
Accuracy refers to how close the measurements are to the true or accepted value. The accepted average age according to *Modern Dog Magazine* is 4.8 years. Kendra's averages (ranging from 3.7 to 3.9) are consistently lower than 4.8 years. This suggests that Kendra's samples are **not accurate** because they are not close to the true average reported.

### **Conclusion:**
Kendra's samples are precise but not accurate.

So, the correct statement about Kendra's samples would be:

**B.) Kendra's samples are precise but not accurate.**

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If you'd like to explore related concepts, consider these questions:
1. What could cause Kendra's sample to be precise but not accurate?
2. How might Kendra improve the accuracy of her sample?
3. What is the difference between random and systematic errors, and how could they affect Kendra's data?
4. How does sample size influence the accuracy and precision of a study?
5. What are some potential biases in Kendra’s sampling method?

**Tip:** When conducting surveys or experiments, always consider the possibility of systematic bias, which can lead to results that are precise but not accurate.

Explore the analysis of accuracy and precision in sampling methods through Kendra's survey at her pet store. Understand why her samples are precise but not accurate, with examples and insights. Suitable for high school students studying statistics and sampling methods.

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