If range of the numbers x1,x2,x3,x4,x5 is r where xi<xi+1. If each number is multiplied by p and then k is subtracted from each number then range of the new numbers is
A
pr
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B
pr−k
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C
p(r−k)
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D
p
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Solution
The correct option is Apr Range of x1,x2,x3,x4,x5 is x5−x1=r
Now new data x′i=pxi−k Range :x′5−x′1=px5−k−(px1−k) =p(x5−x1)=pr