Question

if mean of 7 observation in ascending order 42,48,x+15,x+17,x+20,58,60 is 53 find x and hence find median

Answer 1

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Answer 2

mean = sum of all observation / total no. of observation
            53  = 42+48+x+15+x+17+x+20+58+60 / 7
                    53*7 = 260+3x
                    371-260 = 3x
                    111/3 = x
                      x = 37
42,48,52,54,57,58,60
median = (n+1 /2)th observation
            = (7+1 /2)th 
              = 4th term

therefore median is 54


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