Four brands of paint were tested to determine how long the paint last. The standard deviation of the time (in number of months) the paint lasted for each of the four brands were computed as follows:



Brand A: 2.152

Brand B: 3.223  

Brand C: 2.343

Brand D: 2.423



Which brand is the most variable in terms of the number of months the paint lasted?

The variability of the data is measured by the standard deviation. The higher the standard deviation, the more variable the data is.

For the four brands of paint, the standard deviations are as follows:

- **Brand A**: 2.152
- **Brand B**: 3.223
- **Brand C**: 2.343
- **Brand D**: 2.423

Among these, **Brand B** has the highest standard deviation (3.223). Therefore, **Brand B** is the most variable in terms of the number of months the paint lasted.

Would you like more details or have any other questions?

Here are 5 related questions to explore further:

1. How does standard deviation relate to the consistency of a product's performance?
2. What is the significance of standard deviation in quality control?
3. How would you calculate the variance from the given standard deviations?
4. How does the range compare to the standard deviation as a measure of variability?
5. How could this information about variability affect consumer decisions?

**Tip:** Standard deviation is sensitive to outliers, which can significantly affect its value and the interpretation of variability in a dataset.

Four brands of paint were tested to determine how long the paint lasts. The standard deviation of the time (in number of months) the paint lasted for each of the four brands were computed as follows:

Brand A: 2.152

Brand B: 3.223

Brand C: 2.343

Brand D: 2.423

Which brand is the most variable in terms of the number of months the paint lasted?

Find out which brand of paint is the most variable in terms of longevity by comparing their standard deviations. Learn the concept of variability in statistics and understand how the standard deviation formula is used to measure the spread of data. Suitable for students in Grades 9-12.

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