Hello, can you please help me understand this? This is not a graded assignment, it is only practice. Thank you for you help!    The following data represent a random sample of daily rainfall for 13 June days in Oregon, expressed in millimeters (mm), and a random sample of 11 high temperatures (°F) for June days in Oregon.   Rainfall Temperature 25.3 89.9 23.2 92.8 22 86.1 19 71.5 24.9 82.7 24.7 77.4 22.8 90.8 23.3 84.3 26.2 80.3 22.4 80.1 27.3 85.4 27.3   31.9     Find the following statistics. Do not round between steps, usually I round four decimal places. Statistic Rainfall Temperature n           x¯(this is an x bar)            s           CV  %  % Which has greater variation and why?   The temperatures have the greater standard deviation and therefore the greater variation. The rainfall have more variation since there are more rainfall data points. The larger the sample the more variation there will be. The temperatures have the greater standard deviation, and the rainfalls have the greater coefficient of variation. The standard deviation is meaningless without reference to the mean, different units or scale, so we must consider the coefficient of variation. So, based on the coefficient of variation, the rainfalls have the greater variation. The temperatures have the greater mean and therefore the greater variation.

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Hello, can you please help me understand this? This is not a graded assignment, it is only practice. Thank you for you help! 

 

The following data represent a random sample of daily rainfall for 13 June days in Oregon, expressed in millimeters (mm), and a random sample of 11 high temperatures (°F) for June days in Oregon.

 

Rainfall Temperature
25.3 89.9
23.2 92.8
22 86.1
19 71.5
24.9 82.7
24.7 77.4
22.8 90.8
23.3 84.3
26.2 80.3
22.4 80.1
27.3 85.4
27.3  
31.9  

 

Find the following statistics. Do not round between steps, usually I round four decimal places.

Statistic Rainfall Temperature
n          
x¯(this is an x bar)           
s          
CV  %  %

Which has greater variation and why?

 

The temperatures have the greater standard deviation and therefore the greater variation.

The rainfall have more variation since there are more rainfall data points. The larger the sample the more variation there will be.

The temperatures have the greater standard deviation, and the rainfalls have the greater coefficient of variation. The standard deviation is meaningless without reference to the mean, different units or scale, so we must consider the coefficient of variation. So, based on the coefficient of variation, the rainfalls have the greater variation.

The temperatures have the greater mean and therefore the greater variation.

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