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Fundamental Principle of Counting

MarksNo. of s...

Question

Marks No. of students
$1 - 20$ $8$
$21 - 40$ $12$
$41 - 50$ $15$
$51 - 60$ $20$
$61 - 70$ $13$
$71 - 80$ $17$
$81 - 90$ $5$
Number of students obtained marks between $41$ to $80$

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Solution

Number of students obtained marks between 41 to 80
= sum of students from (41-50)+(51-60)+(61-70)+(71-80)
= 15+20+13+17=65

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Similar questions

Marks	No. of students
$1 - 20$	$8$
$21 - 40$	$12$
$41 - 50$	$15$
$51 - 60$	$20$
$61 - 70$	$13$
$71 - 80$	$17$
$81 - 90$	$5$

find probability that

A student obtained more than

50

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

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

How many students obtained marks below

40

Q. Calculate the mean of the distribution given below using the short cut method.

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

Q. Find the mean of the following data

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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