The marks of some students were initially recorded out of a maximum of 100. The standard deviation of these marks was found to be 9. Subsequently, the marks were scaled to a new maximum of 150. What i

Question

The marks of some students were initially recorded out of a maximum of 100. The standard deviation of these marks was found to be 9. Subsequently, the marks were scaled to a new maximum of 150. What is the double of new standard deviation?

TestHub · Accepted Answer

Let x marks out of 100 Now it will become 100 150 ​ x out of 150 ∴ S.D = ( 100 150 ​ ) × 9 = 2 3 ​ × 9 = 2 27 ​ = 13.5

Mathematics - Statistics Question with Solution | TestHub

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