Question

In the class interval 5-10, find the (i) lower limit (ii) upper limit (iii) class mark (iv) class size.

Answer 1

• 1. Lower limit = 5
• 2. Upper limit = 10
• 3. Class mark = lower limit + upper limit/ 2   = 5+10/2=15/2=7.

• 4. Class size = upper limit - lower limit = 10 - 5 = 5
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Answer 2

Given:

A class interval= 5-10

To find:

i. lower limit

ii. upper limit

iii. classmark

iv. class size

Solution:

The lower limit of the class interval is 5, the upper limit is 10, the class mark is 7.5, and the class size is 5.

We can find the solution by following the steps given below-

We know that a class interval denotes the width of any class in numerical terms.

It consists of the lower and upper limits of the class.

i. The lower limit of the class interval is the lowest value beyond which there is no other item in the interval.

The lower limit of 5-10 is 5.

ii. The upper limit of the class interval is the highest value beyond which there is no other item in the interval.

The upper limit of 5-10 is 10.

iii. The class mark of the interval refers to the midpoint of the interval in the given distribution.

It can be obtained by taking the average of class limits.

Class mark= (Upper limit+lower limit)/2

=(5+10)/2

=15/2

=7.5

iv. The class size of an interval refers to the difference between the lower and upper limits.

Class size=10-5

=5

Therefore, the lower limit of the class interval is 5, the upper limit is 10, the class mark is 7.5, and the class size is 5.