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Answers
Correct Question -
A group of 10 children have a mean height of 1.4 m.
Another child joins the group .
a) What will happen to the mean if the child is 1.5 m tall ?
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b) What will happen to the mean , if the child is 1.4 m tall ?
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c) What will happen to the mean if the child is 1.3 m tall ?
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Solution -
In the above Question , we have the following information -
A group of 10 children have a mean height of 1.4 m .
So,
[ Sum of the height of 10 children ] / [ 10 ] = 1.4
=> [ Sum of the height of 10 children ] = 14 m.
Now,
a) The new child is 1.5 m tall .
So , [ Sum of the height of 10 children ] + Height of the new child
=> 14 m + 1.5 m
=> 15.5 m
Now, mean height -
=> [ Sum of the heights of 11 children ] / [ 11 ]
=> [ 15.5 / 11 ]
=> 1.4 m approximately . ..... [ A 1 ]
b) The new child is 1.4 m tall .
So , [ Sum of the height of 10 children ] + Height of the new child
=> 14 m + 1.4 m
=> 15.4 m
Now, mean height -
=> [ Sum of the heights of 11 children ] / [ 11 ]
=> [ 15.4 / 11 ]
=> 1.4 m . ......... [ A2]
c) The new child is 1.3 m tall .
So , [ Sum of the height of 10 children ] + Height of the new child
=> 14 m + 1.3 m
=> 15.3 m
Now, mean height -
=> [ Sum of the heights of 11 children ] / [ 11 ]
=> [ 15.3 / 11 ]
=> 1.39 m approximately . .. . ..... [ A ]
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