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Solution


Q.

A stopwatch was used to time a 100-metre race run by a group of students. The sports teacher carefully recorded their times in seconds, which are presented in the table below.

Time (in seconds)

0 – 20

20 – 40

40 – 60

60 – 80

80 – 100

Number of students

8

10

13

6

3

 

Based on the above information, answer the following questions:

 

(iii) (b) Find the modal time taken by students to complete the race.
1 45  
2 46  
3 42  
4 43  

Ans.

(2)

Here l = 40, f₁ = 13, f₀ = 10, f₂ = 6, h = 20

∴ Mode=l+f1-f02f1-f0-f2×h=40+13-102×13-10-6×20=40+310×20=40+6=46