Posted by **KLM** on Friday, January 22, 2010 at 12:19pm.

True or false:

The distribution with the largest range necessarily has the largest standard deviation.

- Stats -
**bobpursley**, Friday, January 22, 2010 at 12:48pm
False. Consider the distriubtion with a mean of 1000, then 10000 data points between 99.9 and 100.1, and a data point at zero, and one at a thousand. Its standard deviation is very small compared to

a mean of 100, 40 datapoints between 80 and 120, the standard deviation will be larger than the first, even if its range is smaller.

- Stats -
**KLM**, Friday, January 22, 2010 at 2:19pm
Thanks, Bob. The explanation helps!

## Answer This Question

## Related Questions

- Stats - You are allowed to choose four whole numbers from 1 to 10 (including 1 ...
- stats - suppose a normal distribution has a true population mean of 18 and a ...
- Stat - An SRS of size n is taken from a large population whose distribution of ...
- statistics - An SRS of size n is taken from a large population whose ...
- business statistics - The sampling distribution of x bar must be a normal ...
- Statistics - True or false? If the original x distribution has a relatively ...
- math - Using the data in the table, calculate the mean, range, variance, and ...
- statistics - 1. Which of the following statements are correct? a. A normal ...
- math(stats) - sample of n=5 scores (8,0,7,5,5) make an estimate of the standard ...
- Statistics - True or False? As the degrees of freedom increase, the Student's t...

More Related Questions