Question

Use the standard deviation to compare the variability of the datasets. Round to the nearest hundredths.

Dataset A: 4, 5, 6, 12, 13

Dataset B: 4, 5, 7, 9, 10



The standard deviation of Dataset A is 3.74. The standard deviation of Dataset B is 2.28. The standard deviation of Dataset A is larger than that of Dataset B, so Dataset A has more variability.
The standard deviation of Dataset A is 3.74. The standard deviation of Dataset B is 2.28. The standard deviation of Dataset A is larger than that of Dataset B, so Dataset A has more variability.

The standard deviation of Dataset A is 3.64. The standard deviation of Dataset B is 2.28. The standard deviation of Dataset A is larger than that of Dataset B, so Dataset A has more variability.
The standard deviation of Dataset A is 3.64. The standard deviation of Dataset B is 2.28. The standard deviation of Dataset A is larger than that of Dataset B, so Dataset A has more variability.

The standard deviation of Dataset A is 3.74. The standard deviation of Dataset B is 3.74. Dataset A and Dataset B have the same standard deviation, so both datasets have the same variability.
The standard deviation of Dataset A is 3.74. The standard deviation of Dataset B is 3.74. Dataset A and Dataset B have the same standard deviation, so both datasets have the same variability.

The standard deviation of Dataset A is 2.28. The standard deviation of Dataset B is 3.74. The standard deviation of Dataset B is larger than that of Dataset A, so Dataset B has more variability.
The standard deviation of Dataset A is 2.28. The standard deviation of Dataset B is 3.74. The standard deviation of Dataset B is larger than that of Dataset A, so Dataset B has more variability.

Answer 1

To compare the variability of the datasets using standard deviation, let's first correctly summarize the provided information:

1. **Dataset A** has the following values: 4, 5, 6, 12, 13.
- The calculated standard deviation is **3.74**.

2. **Dataset B** has the following values: 4, 5, 7, 9, 10.
- The calculated standard deviation is **2.28**.

From this information:

- **The standard deviation of Dataset A (3.74) is greater than the standard deviation of Dataset B (2.28)**.
- This means that Dataset A has more variability than Dataset B.

Thus, the correct statement summarizing the comparison is:

**The standard deviation of Dataset A is 3.74. The standard deviation of Dataset B is 2.28. The standard deviation of Dataset A is larger than that of Dataset B, so Dataset A has more variability.**

This statement aligns with the provided figures accurately.