Write the lower limit of the modal class of the following frequency distribution?

Age (in years) 0−10 10−20 20−30 30−40 40−50 50−60

Number of patients 16 13 6 11 27 18

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Solution

Here the maximum class frequency is 27, and the class corresponding to this frequency is 40−50. So, the modal class is 40−50.
Now,

Modal class = 40−50, lower limit (l) of modal class = 40

Thus, lower limit (l) of modal class is 40.

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Marks	0−10	10−20	20−30	30−40	40−50	50−60
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Age (in years)	0−10	10−20	20−30	30−40	40−50	50−60
Number of patients	16	13	6	11	27	18