Mode of the data $5, 2, 1, 4, 1, 5, 1, 3$ is $t a n x$ then value of $x$ is?

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Solution

data : $5, 2, 1, 4, 1, 5, 1, 3.$
data in increasing order : $1, 1, 1, 2, 3, 4, 5, 5.$
mode : element with maximum frequency mode : $1$ .....(i)
given : mode $\cdot tan x$ .....(ii)
(i) and (ii)
$\Rightarrow tan x = 1$
$tan x = tan π / 4$
$\Rightarrow x = π / 4$
$∴ x = π / 4$

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