calculate the mode of the following using empirical formula; marks: 10,11,12,13,14,15,16,19,20
Number of students: 3,5,4,5,2,3,2,1 respectively.
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Calculation of mean Mean = Σ fi xi/ Σ fi = 332/25 = 13.28
Here, n = 25, which is an odd number.
Therefore, Therefore median = ((n+1)/2)th term Median = value of 13th term Median = 13 Now, by using empirical formula we have, Mode = 3 Median – 2 Mean Mode = 3 (13) – 2 (13.28) Mode = 39 – 26.56 Mode = 12.44.
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