Question

The frequency distribution of daily expenditure of 100 college students is given below:
Daily Expenditure (5) 50-59 60-69 70-79
80-89
90-99 100-109 110-119 120-129
Number of Students 3
10 18 25
24
10
6
4
Obtain :
(i) Class boundaries of fourth class.
(ii) Class width of any class.
(iii) Modal class.
(iv) Class-mark of last class.
Number of students having expenditure less than * 89.​

Answer 1

Given : The frequency distribution of daily expenditure of 100 college students

To Find : (i) Class boundaries of fourth class.

(ii) Class width of any class.

(iii) Modal class.

(iv) Class-mark of last class.

Number of students having expenditure less than * 89.​

Solution:

Daily Expenditure     Number of Students       CF

49.5  - 59.5                    3                                  3  

59.5  - 69.5                    10                                 13

69.5  - 79.5                    18                                 31  

79.5  - 89.5                    25                                56

89.5  - 99.5                    24                                80  

99.5  - 109.5                   10                                 90

109.5 - 119.5                     6                                 96

119.5 - 129.5                     4                                 100

Class boundaries of fourth class.

79.5  - 89.5  

Class width of any class. = 10

Modal class. 79.5  - 89.5        

Median Class 79.5  - 89.5      

Class-mark of last class   124.5

Number of students having expenditure less than * 89.​  =    56  

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