Marks No. of students
$1 - 20$ $8$
$21 - 40$ $12$
$41 - 50$ $15$
$51 - 60$ $20$
$61 - 70$ $13$
$71 - 80$ $17$
$81 - 90$ $5$
Write the probability of a student obtain less than $51$

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Solution

The total no.of students is $8 + 12 + 15 + 20 + 13 + 17 + 5 = 90$
No.of students less than $51$ is $8 + 12 + 15 = 35$
The probability is $\frac{35}{90} = \frac{7}{18}$

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Marks	$11 - 20$	$21 - 30$	$31 - 40$	$41 - 50$	$51 - 60$	$61 - 70$	$71 - 80$
No. of students	$2$	$6$	$10$	$12$	$9$	$7$	$4$

Marks	1 - 10	11 - 20	21 30	31 - 40	41 -50	51 - 60	61 - 70
No. of student	6	5	8	15	7	6	3

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Marks	$1 - 10$	$11 - 21$	$21 - 30$	$31 - 40$	$41 - 50$	$51 - 60$	$61 - 70$	$71 - 80$	$81 - 90$	$91 - 100$
Frequency	$8$	$14$	$32$	$56$	$102$	$80$	$54$	$30$	$16$	$8$

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