A 100m race was organised in a school campus ground on sports meet. The
time was recorded with the help of a stopwatch.
A table shown below describes the time in which the race was finished.
Time
( in Secs)
0-20 20-40 40-60 60-80 80-100
No. Of
Student
6 13 10 3 8
a) What will be the lower limit of modal class?
i. 30 ii. 40 iii. 60 iv. 20
b) The average time taken by the student to finish the race is _____
i. 40 ii. 47 iii. 50 iv. 30
c) How many students finish the race within one minute?
i. 30 ii. 29 iii. 19 iv. 29
d) The construction of cumulative frequency table is useful to determine
i. Mean ii. Median iii. Mode iv. All of i, ii, iii.
e) How many students participated in 100 m race on sportsmeet.
i. 30 ii. 35 iii. 25 iv. 40
Answers
Answer:
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Given : A stopwatch was used to find the time that it took a group of students to run 100 m.
Time (in sec) 0-20 20-40 40-60 60-80 80-100
No. of students 6 13 10 3 8
To Find : lower limit of modal class?
i. 30 ii. 40 iii. 60 iv. 20
The average time taken by the student to finish the race
Solution:
Time (in sec) f cf
0-20 6 6
20-40 13 19
40-60 10 29
60-80 3 32
80-100 8 40
modal class = 20 - 40
Lower limit = 20
average time taken by a student to finish the race = (10*6 + 30*13+50*10+70*3+90*8)/40
= 47
students finish the race within one minute
1 minute = 60 sec
Time less than 60 sec = 29 Students
29 students finished the race within 1 minute
The construction of cumulative frequency table is useful in determining the Median
40 s students participated in 100 m race on sportsmeet.
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