The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles.
29; 35; 36; 40; 58; 67; 68; 69; 76; 81; 86; 95; 96; 96; 99; 106; 112; 127; 145; 150
Find the value that is one standard deviation below the mean. (Round your answer to one decimal place.)

The value that is one standard deviation below the mean is approximately 49.6 miles.

Would you like further details or have any questions about this calculation?

Here are 5 related questions to expand on this topic:
1. How would you calculate the value one standard deviation above the mean?
2. What is the significance of one standard deviation in a normal distribution?
3. Can we apply these statistics to a different dataset, like sales revenue?
4. How do you interpret a standard deviation in terms of data spread?
5. What are the differences between population and sample standard deviations?

**Tip:** Standard deviation helps understand how much the data deviates from the mean, indicating the spread of the dataset.

The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles: 29; 35; 36; 40; 58; 67; 68; 69; 76; 81; 86; 95; 96; 96; 99; 106; 112; 127; 145; 150. Find the value that is one standard deviation below the mean. (Round your answer to one decimal place.)

Learn how to calculate the value that is one standard deviation below the mean for a sample of 20 retail store distances. The problem covers key statistical concepts such as mean, standard deviation, and normal distribution. Suitable for students in Grades 10-12.

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