Question

listed below are the numbers of hurricanes that occurred in each year in a certain region. the data are listed year. find the range, variance, and standard deviation for the given sample data. include appropriate units what important feature of the data is not revealed by any of the measures of variation? 20 18 14 3 13 18 9 12 19 19 12 20 1 17 the range of the sample data is 19.0 hurricanes. (round to one decimal place as needed.) the standard deviation of the sample data is 6.1 hurricanes. (round to one decimal place as needed.) the variance of the sample data is hurricanes. (round to one decimal place as needed.)

Explanation:

Step1: Recall variance - standard deviation relationship

The variance $s^{2}$ of a sample is the square of the sample - standard deviation $s$.

Step2: Calculate the variance

Given $s = 6.1$, then $s^{2}=(6.1)^{2}=37.21$. Rounding to one decimal place, we get $37.2$.

Answer:

37.2 hurricanes$^{2}$

The important feature of the data not revealed by any of the measures of variation is the distribution of the data (e.g., whether it is symmetric, skewed, etc.).