Chebyshev's inequality Qbank

Can someone help me understand this, the question and the answer and the explanation of answer is already there, but i’m still unsure of how they got the k^2 as 1.5

The K is the plus/minus standard deviations from the mean. So here instead of saying within plus minus 1.5 standard deviations, they gave you 10% as the standard deviation then said they want to know plus-minus 15%. Which equals 1.5 times the standard deviation. So they are asking you to be able to key in on the fact K is 1.5 for the number of standard deviations to plug into the formula. It’s using different phraseology to see if you can solve an otherwise memorized formula. Level 1 is all about the different phraseology to try and make things look different, there are a finite number of ratios and formulas so the test plays with words often. You got this, good luck!

They didn’t get k2 = 1.5.

They got k = 1.5.

\dfrac{15\%}{10\%}\ =\ 1.5
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