Question

the mode of the following distribution is 55 find the value of x

Answer 1

This is the answer above
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Answer 2

Answer: the value of x = 5

Step-by-step explanation:

By using basic mode formula,

$m=L+\frac{f_{1}-f_{0} }{2f_{1} -f_{0} -f_{2} }(h)$

$55=45+\frac{15-x}{2(15)-x-10} (15)$

$55-45=\frac{15-x}{20-x} (15)$

by doing cross multiplication,

$10(20-x)=15(15-x)$

$200-10x=225-15x$

$15x-10x=225-200$

$5x=25$

  $x=5$