Chapter ISG, Problem 10.5.3P

a.

To determine

To calculate center and spread for each data.

Answer to Problem 10.5.3P

Island B is less spread.

Explanation of Solution

Given information:

  

Formula used:

  

Calculation:

For Island A

  

  

Using mean formula to calculate mean

  

On solving,

  

Using standard deviation formula to calculate the standard deviation

  

On solving,

  

For Island B

  

  

Using mean formula to calculate mean

  

On solving,

  

Using standard deviation formula to calculate the standard deviation

  

On solving,

  

Deviation of Island A is more than Island B then Island B is less spread.

b.

To determine

To explain which island S visit.

Answer to Problem 10.5.3P

Advice for S is to go to Island B

Explanation of Solution

Given information:

  

For Island A

  

  

For Island B

  

  

For Island A

  

  

For Island B

  

  

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Here, standard deviation of Island A is more which indicate that rain is more at island A,

while standard deviation of Island B is lee which means rain expectancy is low.

Advice for S is to go to Island B