Question

ve
Ex.4: A highway police department conducted a
survey and clocked the speeds of number
of cars on a highway. The following
distribution was obtained:
Number of cars
Speed below
(in kms/hour)
65
19
70
44
99
75
80
85
184
194
90
200
WI
Compute the speed (in kms/hour) below
which 75% cars have their speed.
N​

Answer 1

Given : A highway police department conducted a survey and clocked the speeds of number of cars on a highway.  

To Find :  the speed (in kms/hour) below which 75% cars have their speed

Solution:

Speed below  

(in kms/hour)             Number of cars            

65                                       19                19    below 65              

70                                       44               25    65 - 70            

75                                       99               55    70 -  75            

80                                       184             85     75 - 80            

85                                       194             15     80 - 85              

90                                       200            6      85 - 90                  

75 %  of  200 = 150

150 lies in 75 - 80

75  + 5 * ( 150 - 99)/85

= 75  + 3

= 78

78  kms/hour is the speed below which 75% cars have their speed

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