Question

find the mean 1st 100 natural number

Answer 1

sum of natural no up to 100 = S100(sum of 100 terms of so)
S100 = n/2(1st+last term)
S100 = 100/2(1+100)
S100 = 50(101)
S100 = 5050

mean = sum of no /no of numbers
mean = 5050/100
mean = 50.50

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Answer 2

1,2,3,4,.......,100
Tn = a + (n-1)d
100 = 1 + (n-1)1        
n= 100
n is even
median = (n/2)th term and (n/2 + 1)th term
             = 50th term and 51th term
50 th term is 50 and 51 th term is 51
 mode = 0 (b'coz no no is same in this ap)
 by empirical formula,
 3median = 2mean + mode 
 3(50)/2 = mean + 0                         3(51)/2 = mean + 0
 150/2 = mean                                      153/2 = mean
    mean = 75                                           mean = 76.5