Question

The marks of 80 students of class 10th in mathematics test are given below find the mode of these marks obtained by the students in mathematics test marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 frequency 2 6 12 16 13 20 5 1 4 1

Answer 1

Answer:

53.18

Step-by-step explanation:

Here the maximum frequency is 20, and the class corresponding to this frequency is 50 – 60 is the modal class

Therefore, l = 50, h = 60 – 50 = 10, f1 = 20, f0 = 13, f2 = 5

Mode = l + [(f1- f0) / (2f1- f0 - f2)] ×h

= 50 + [(20–13)/(2 × 20–13–5)]×10

= 50 + [(7)/(5/40 -18)] × 10

= 50 + [(7×10) / 22]  

= 50 + 70/ 22

= 50 + 3.18

= 53.18

Hence, the mode of the marks obtained by the students in science is 53.18  

MODE:

Mode is that value of the given observation which occurs most frequently.

Mode = l + (f1-f0/2f1-f0-f2) ×h

l = lower limit of the modal class

h = size of the class intervals

f1 = frequency of the modal class

f0 = frequency of the class preceding the modal class

f2 = frequency of the class succeed in the modal class.