Marks obtained by 100 students of a class are given below. Find out range and coefficient of range of the marks.

Marks 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90 90−100

Number of Students 4 10 16 22 20 18 8 2 5

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Solution

Marks No. of Student

10 − 20
20 − 30
30 − 40
40 − 50
50 − 60
60 − 70
70 − 80
80 − 90
90 − 100 4
10
16
22
20
18
8
2
5

Range (R)= Upper limit of last class interval − Lower limit of the first class interval
(R)= 100 − 10
(R) = 90

$Coefficient of Range (CR) = \frac{H - L}{H + L} or, CR = \frac{100 - 10}{100 + 10} or, CR = \frac{90}{110} \Rightarrow CR = 0.81$

Hence, the Range (R) of the marks is 90 and Coefficient of Range (CR) is 0.8

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Similar questions

The table given below shows the marks obtained by 140 students of a class in a test with maximum marks 100.

A student of the class is selected at random. Find the probability that this student gets

Marks	10−20	20−30	30−40	40−50	50−60	60−70	70−80	80−90
No. of students	7	13	20	25	10	8	6	1

Marks	10−20	20−30	30−40	40−50	50−60
No. of students	12	18	14	63	19

Marks	0-10	10-20	20-3	30-40	40-50	50-60	60-70	70-80
Number of students	3	5	16	12	13	20	6	5

Marks	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Number of students	4	6	10	10	25	22	18	5

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Marks	No. of Student
10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 70 − 80 80 − 90 90 − 100	4 10 16 22 20 18 8 2 5