1. Long jump made by 30 students of a class are tabulated as
Distance (cm) 101 – 200 201 – 300 301 – 400 401 – 500 501 – 600
No of students 4 7 15 3 1
I. Are the given class intervals inclusive or exclusive?
II. How many students are in second class interval?
III. How many students jumped a distance of 3.01m or more ?
IV. To which class interval does the student who jumped a distance of
4.005 m belongs?
2. Calculate the boundaries of the class intervals in the above table.
3. What is the length of each class interval in the above table?
Answers
Given : Long jump made by 30 students of a class
Distance (cm) 101 – 200 201 – 300 301 – 400 401 – 500 501 – 600
No of students 4 7 15 3 1
To Find : I. Are the given class intervals inclusive or exclusive?
II. How many students are in second class interval?
III. How many students jumped a distance of 3.01m or more ?
IV. To which class interval does the student who jumped a distance of
4.005 m belongs?
2. Calculate the boundaries of the class intervals in the above table.
3. What is the length of each class interval in the above table?
Solution:
given class intervals are inclusive as lower and upper both limits are included
students are in second class interval = 7
students jumped a distance of 3.01m or more
15 + 3 + 1 = 19
if converted to exclusive interval than where lower limit included not upper limit.
Exclusive Inclusive
100.5 - 200.5 101 – 200
200.5 - 300.5 201 – 300
300.5 - 400.5 301 – 400
400.5 - 500.5 401 – 500
500.5 - 600.5 501 – 600
Hence 401 – 500 class interval - student who jumped a distance of 4.005 m belongs
Exclusive class interval shows boundaries
length of each class interval in the above table = 100
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