The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
29; 35; 36; 40; 58; 67; 68; 69; 76; 80; 83; 95; 96; 96; 99; 106; 112; 127; 145; 150
Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.

The standard deviation of the distances is approximately 33.9 miles.

Would you like further details on this calculation, or do you have any questions?

Here are 5 related questions to deepen understanding:
1. How is standard deviation used to measure the spread of data?
2. What is the difference between population and sample standard deviation?
3. How would changing one extreme value affect the standard deviation?
4. Can you calculate variance from the standard deviation? If so, how?
5. What would be the effect of removing the furthest distance on the standard deviation?

**Tip:** Always double-check whether you're calculating population or sample standard deviation, as the formulas differ slightly!

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles: 29; 35; 36; 40; 58; 67; 68; 69; 76; 80; 83; 95; 96; 96; 99; 106; 112; 127; 145; 150. Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.

Calculate the standard deviation of the distances between 20 retail stores and a large distribution center. The distances are provided in miles, and this problem involves the use of the standard deviation formula to measure the data's spread. Suitable for students in Grades 10-12 studying statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation