Explain, by taking a suitable example, how the arithmetic mean alters by (i) adding a constant k to each term, (ii) subtracting a constant k from each them, (iii) multiplying each term by a constant k and (iv) dividing each term by a non-zero constant k.

Let us say numbers are be

3, 4, 5


Therefore, Mean =


=


=


= 4


(i) = 2 on each term


New numbers are = 5, 6, 7


New mean =


=


= 6


Therefore new mean will be 2 more than the original mean.


(ii) Subtracting constant terms ‘k’ = 2 in each term


New numbers are = 1, 2, 3


Therefore, new mean =


=


= 2


Therefore, new mean will be 2 less than the original mean.


(iii) = 2 in each term


New numbers are = 6, 7, 8


Therefore, new mean =


=


= 8


Therefore, new mean will be 2 times of the original mean.


(iv) Divide by constant term ‘k’ = 2 in each term


New numbers are = 1.5, 2, 2.5


Therefore, new mean =


=


= 2


Therefore, new mean will be half of the original mean.


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