- #1

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- Homework Statement
- See attached.

- Relevant Equations
- Statistics

Find the problem and solution below;

Now the part i do not seem to understand from the given solution is the negative value i.e to be specific ##-0.06##

In my understanding we shall have ##5## possibilities with each giving the correct mean value of ##3.48## which implies ##+0.06## from the given value on the text unless they meant ##3.48- 0.06=3.42##

They also did not indicate the correct value of the mean rather the difference.

My approach to the solution is as follows;

Consider the consecutive scores##1=12## and ##2=9## then it follows that the correct value of the mean will be given by;

##(171-30)+1(9)+2(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##2=12## and ##3=9## then it follows that the correct value of the mean will be given by;

##(171-51)+2(9)+3(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##3=12## and ##4=9## then it follows that the correct value of the mean will be given by;

##(171-72)+3(9)+4(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##4=12## and ##5=9## then it follows that the correct value of the mean will be given by;

##(171-93)+4(9)+5(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##5=12## and ##6=9## then it follows that the correct value of the mean will be given by;

##(171-114)+5(9)+6(12)=174##

##\dfrac{174}{50}=3.48##

Of course i would appreciate any other better approach. Cheers guys.

Now the part i do not seem to understand from the given solution is the negative value i.e to be specific ##-0.06##

In my understanding we shall have ##5## possibilities with each giving the correct mean value of ##3.48## which implies ##+0.06## from the given value on the text unless they meant ##3.48- 0.06=3.42##

They also did not indicate the correct value of the mean rather the difference.

My approach to the solution is as follows;

Consider the consecutive scores##1=12## and ##2=9## then it follows that the correct value of the mean will be given by;

##(171-30)+1(9)+2(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##2=12## and ##3=9## then it follows that the correct value of the mean will be given by;

##(171-51)+2(9)+3(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##3=12## and ##4=9## then it follows that the correct value of the mean will be given by;

##(171-72)+3(9)+4(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##4=12## and ##5=9## then it follows that the correct value of the mean will be given by;

##(171-93)+4(9)+5(12)=174##

##\dfrac{174}{50}=3.48##

Consider the consecutive scores##5=12## and ##6=9## then it follows that the correct value of the mean will be given by;

##(171-114)+5(9)+6(12)=174##

##\dfrac{174}{50}=3.48##

Of course i would appreciate any other better approach. Cheers guys.