# Stats

posted by .

True or false:

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

• Stats -

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 -

Thanks, Bob. The explanation helps!

## Similar Questions

The sampling distribution of x bar must be a normal distribution with a mean 0 and standard deviation 1. true or false
2. ### statistics

1. Which of the following statements are correct?
3. ### Stats

You are allowed to choose four whole numbers from 1 to 10 (including 1 and 10). You can only choose each number once though. Which of the following statements is FALSE?
4. ### math(stats)

sample of n=5 scores (8,0,7,5,5) make an estimate of the standard deviation by finding average distance of the smallest and largest distance from the mean
5. ### statistics

An SRS of size n is taken from a large population whose distribution of income is extremely right-skewed and the mean income is calculated. Which of the following statements is false?
6. ### Statistics

True or false? If the original x distribution has a relatively small standard deviation, the confidence interval for will be relatively short. Answer True False
7. ### stats

suppose a normal distribution has a true population mean of 18 and a true standard deviation of 2. what % of observations will be 18 or less, 18 or greater and in the range from 16 to 20?
8. ### math

Using the data in the table, calculate the mean, range, variance, and standard deviation, and then answer questions e and f. Round the variance and standard deviation to one decimal place. a. Mean b. Range c. Variance d. Standard deviation …
9. ### Stat

An SRS of size n is taken from a large population whose distribution of income is extremely right-skewed and the mean income is calculated. Which of the following statements is false?
10. ### Stats

A normal distribution has a mean of 120 and a standard deviation of 20. What range of scores would form the middle 60%?

More Similar Questions