Question

The mean of 15 rumbers is 27. If each number is multiplied by 4, what
will be the mean of the new numbers?
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Answer 1

given the mean of 15 number is = 27

let the number be x₁,x₂,x₃.............x₁₅

= x₁,x₂,x₃.................,x₁₅ / 15 = 27

= x₁,x₂,x₃.................,x₁₅  = 27 * 15 = 405 ...... eqn first

now the each number is multiplied by 4 then, new set of 15 number is , so new mean is

x₁*4 ,x₂*4 ,x₃*4 .................,x₁₅*4 / 15 = 4* { x₁,x₂,x₃.................,x₁₅} / 15 = 4*27 = 108 [ using eqn first ]

hence new mean is = 108

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