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Question

The following table shows the frequency distribution of the diameters of 40 bottles. Find the mean of the data.
Diameter (mm)35394044454950545560Frequency61215107
 


Your Answer
A
45
Your Answer
B
37
Correct Answer
C
47
Your Answer
D
55

Solution

The correct option is D 47
Diameter(mm)35394044454950545560Frequency(f)61215107Mid-Point(x)3742475257fx222504705520399
Here, the mid-point of each interval =Lower class limit + Upper class limit2
=35+392=37
Similarly, we can find mid-points of all the class interval.
Now Mean=fixifi
Mean=222+504+705+520+39950=235050
Mean=47

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