Q. 135.0( 1 Vote )

Calculate the mode of the following using empirical formula:

17, 10, 12, 11, 10, 15, 14, 11, 12, 13

Answer :

By arranging the given data in ascending form we get;


10, 10, 11, 11, 12, 12, 13, 14, 15, 17


Draw the table;



∑f = N = 10 (even)


Median = 1/2 [value of (n/2)th term + value of (n/2 + 1)th term]


= 1/2 [value of 5th term + value of 6th term]


= 1/2 [12 + 12] = 24/2 = 12


Now,


Mean = (∑fx)/(∑f) = 125/10 = 12.5


Mode = 3(median) – 2(mean)


= 3 × 12 – 2 × 12.5


= 36 – 25 = 11


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