Question

Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 1,12,15,13,1,16,20,16,7,6,4,20,18,2 I got: Range = 19 Standard Deviation =? Variance =? and "The measures of variation reveal nothing about the pattern over time. Need Standard Deviation and Variance please.

Stats

Answer #1

**Ans) Range = 19 , Variance = 50.181, SD =
7.084**

**Given:**

**1,12,15,13,1,16,20,16,7,6,4,20,18,2**

**Rangw = Max value - Min value = 20 - 1 = 19**

**And Total Data N = 14**

**Mean =**

**Variance of sample=**

**
ans.**

**Standard Deviation =**

**
ans.**

**/* NOTE: THERE IS DIFFERENCE BETWEEN POPULATION AND
SAMPLE VARIANCE AND SD FOR SAMPLE WE DIVIDE BY N-1 AND FOR
POPULATION WE DIVIDE BY N IN FORMULA */**

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