Question

(20) Calculate the mean and median for the following data. (3)
Mark
10
12 | 13 14 | 16 19 20
No. of Students 3 5 4 5 2 3 2 1
Using empirical formula, find it mode.​

Answer 1

Answer:

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.