age of pumps manufacturer by a company is given in t following distribution table . calculate the modal age of the pumps
age (in years):
0-1 1-2 2-3 3-4 4-5 5-6 6-7

no. of pumps:
12 18 45 23 12 08 04

Consider the following frequency distribution.    Class Interval       frequency         0-1                          12            1-2                          18             2-3                          45              3-4                          23             4-5                          12            5-6                          08             6-7                          04                                        i fi=122   Here the maximum frequency lies in the interval 2-3.So the interval 2-3 is the modal class.The mode is given by the formula,      Mode=l+f1-f02f1-f0-f2×hHere l is the lower limit of modal class, f1 is  frequency of modal class,   f0 is  frequency of class preceding the modal class and f2 is the frequency of class after the modal class. So the values are,     l=2,   f0=18. f1=45,  f2=23 , h=1SO the modal value is,    Mode=2+45-18245-18-23×1              =2+2790-41            =2+2749              =2+0.55            =2.55          

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