Find the mode of the following distribution
Marks in Mathematics $45$ $60$ $80$ $90$ $95$ $100$
Number of students $5$ $15$ $6$ $4$ $6$ $4$

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Solution

$\Rightarrow$ The mode is simply the number which appears most often.
$\Rightarrow$ In given frequency table we can see, $60$ marks got by maximum number of students i.e. $15$ .
$∴$ $M o d e = 60$

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Marks	$65$	$70$	$75$	$80$	$85$	$90$	$95$	$100$
Number of students	$6$	$11$	$3$	$5$	$4$	$7$	$10$	$4$

455060758095100

108612356

Maths marks	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$	$80 - 85$	$85 - 90$	$90 - 95$
No. of students	$8$	$12$	$14$	$8$	$5$	$6$	$4$

50

Marks $(%)$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Number of students	$6$	$12$	$14$	$8$	$6$	$4$

50

Marks $(%)$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Number of students	$6$	$12$	$14$	$8$	$6$	$4$

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Marks in Mathematics	$45$	$60$	$80$	$90$	$95$	$100$
Number of students	$5$	$15$	$6$	$4$	$6$	$4$