Question 33

If mode of the observations 5, 7, 11, 14, 15, 16 and $$(2k + 3)$$ is 11, then the value of $$(k + 1)^2$$ is

Solution

All the given values appear once, so the mode can be 11 only if $$2k + 3 = 11$$. This gives $$k = 4$$. Then $$(k + 1)^2 = 5^2 = 25$$.

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