Marks scored by 30 students of class VI are as given below:
38, 46, 33, 45, 63, 53, 40, 85, 52, 75, 60, 73, 62, 22, 69, 43, 45, 33, 47, 41, 29, 43, 37, 49, 83, 44, 55, 22, 35 and 45.

State :
(iii) The range of marks.

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Solution

Arrange the given data in an ascending order, we get
22, 22, 29, 33, 33, 35, 37, 38, 40, 41, 43, 43, 44, 45, 45, 45, 46, 47, 49, 52, 53, 55, 60, 62, 63, 69, 73, 75, 83, 85

The range of marks obtained by,

Range $=$ Highest mark – Lowest mark

$= 85 - 22$
$= 63$

Hence, the range of marks is $63$ .

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Similar questions

Q. Marks scored by

30

students of class

V I

are as given below:

38, 46, 33, 45, 63, 53, 40, 85, 52, 75, 60, 73, 62, 22, 69, 43, 45, 33, 47, 41, 29, 43, 37, 49, 83, 44, 55, 22, 35

and

45

.
State:
the highest marks scored

The marks scored by 40 students of class IX in mathematics are given below:
$\begin{matrix} 81, & 55, & 68, & 79, & 85, & 43, & 29, & 68, & 54, & 73, & 47, 35, & 72, & 64, & 95, & 44, & 50, & 77, & 64, & 35, & 79, & 52, 45, & 54, & 70, & 83, & 62, & 64 & 72, & 92, & 84, & 76 & 63 43, & 54, & 38, & 73, & 68, & 52, & 54 \end{matrix}$
Prepare a frequency distribution with class size of 10 marks.

Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

Q. Prepare the frequency distribution table of the age (in years) of 50 employees in an office. 27, 25, 45, 40, 29, 31, 26, 27, 58, 60, 53, 39, 62, 65, 30, 35, 42, 53, 50, 49, 44, 45, 46, 41, 55, 43, 41, 39, 35, 31, 29, 47, 52, 62, 64, 47, 37, 27, 36, 38, 44, 42, 54, 59, 49, 37, 36, 28, 29, 30. Take equal class intervals and start from 25-30,where 30 is not included.

Question 95(i)

The weights (in kg) of 30 students of a class are as follows :
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,
31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26
Prepare a frequency distribution table using one class interval as (30-35), 35 not included.
(i) Which class has the least frequency ?

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Marks scored by 30 students of class VI are as given below: 38, 46, 33, 45, 63, 53, 40, 85, 52, 75, 60, 73, 62, 22, 69, 43, 45, 33, 47, 41, 29, 43, 37, 49, 83, 44, 55, 22, 35 and 45. State : (iii) The range of marks.

Arrange the given data in an ascending order, we get 22, 22, 29, 33, 33, 35, 37, 38, 40, 41, 43, 43, 44, 45, 45, 45, 46, 47, 49, 52, 53, 55, 60, 62, 63, 69, 73, 75, 83, 85 The range of marks obtained by, Range = Highest mark – Lowest mark =85−22 =63 Hence, the range of marks is 63.

Marks scored by 30 students of class VI are as given below:
38, 46, 33, 45, 63, 53, 40, 85, 52, 75, 60, 73, 62, 22, 69, 43, 45, 33, 47, 41, 29, 43, 37, 49, 83, 44, 55, 22, 35 and 45.

State :
(iii) The range of marks.