Speed | freq | cumulative freq. |
475.5 - 545.5 | 26 | 26 |
545.5-615.5 | 16 | 42 |
615.5-685.5 | 44 | 86 |
685.5-755.5 | 19 | 105 <-- |
755.5-825.5 | 25 | 130 |
825.5-895.5 | 22 | 152 |
895.5-965.5 | 31 | 183 |
kth percentile is given by :
Note that k = 52 , N= 183 , So KN/100 = 95.16
This freq lies in the class 685.5 - 755.5
So, L =685.5
f = 19
h = 70
c= 86
So,
b)
class limit | class boundary | freq, |
30-39 | 29.5-39.5 | 3 |
40-49 | 39.5-49.5 | 16 |
50-59 | 49.5-59.5 | 50 |
60-69 | 59.5-69.5 | 16 |
70-79 | 69.5-79.5 | 22 |
Class width of a class = Upper boundary - lower boundary of that class
So, classwidth = 10
Mid point of 3rd class = (59.5+49.5)/2 = 54.5
c)
The speeds of 183 cars in a race are shown in the table below. Find the...
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