Find the mode of the following distribution:
Height (in cm) 30-40 40-50 50-60 60-70 70-80 80-90
No. of Plants 4 3 8 11 6 2
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Step-by-step explanation:
Here the modal class is 60-70 as modal class has highest frequency i.e., in this case it is 11.
L = lower limit of modal class = 60
f1 = frequency of modal class = 11
f0 = frequency of class preceding the modal class
= 8
f2 = frequency of class succeeding the modal
class = 6
h = size of class interval = 10
mode = L + (f1-f0)*h/(f1-f0)+(f1-f2)
= 60 + 3*10/3+5
= 60 + 30/8
= 60 + 3.75
= 63.75
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