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Question

A sequence consists of 7 terms arranged in descending order. Then mean value of the sequence is 70. If 30 is added to each term, and then each term is divided by 2, then

A
the absolute value of difference between new mean and old mean is 15
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B
the absolute value of difference between new mean and old mean is 20
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C
the absolute value of difference between new mean and old mean is 0
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D
the position of new median will not change.
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Solution

The correct options are
B the absolute value of difference between new mean and old mean is 20
D the position of new median will not change.
Mean of 7 data ¯x=70
now 30 is added and divided by 2 then new mean is
New mean =(¯x+30)×12
=(70+30)×12
=50
Now absolute value of difference is |5070|=20

Since all the terms has been added with 30 and then divided by 2, therefore the position of median (middle term) will not change.

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