The class mark of class interval (160-170) is

Question

Accepted Answer

The correct option is 2:

To find the class mark of a class interval, we recall the definition of a class mark. The class mark is the midpoint of a class interval. It is calculated by taking the average of the lower limit and the upper limit of the class interval.

The formula for the class mark is:
$ 	ext{Class Mark} = \frac{	ext{Lower Limit} + 	ext{Upper Limit}}{2} $

In this question, the given class interval is (160-170).
Here, the lower limit is 160.
And the upper limit is 170.

Now, let's substitute these values into the formula:
$ 	ext{Class Mark} = \frac{160 + 170}{2} $
First, add the lower and upper limits:
$ 160 + 170 = 330 $
Next, divide the sum by 2:
$ 	ext{Class Mark} = \frac{330}{2} $
$ 	ext{Class Mark} = 165 $
Therefore, the class mark of the class interval (160-170) is 165. This matches Option 2.

The incorrect option is 1:
Option 1 (170) is the upper limit of the class interval, not the class mark.

The incorrect option is 3:
Option 3 (330) is the sum of the lower and upper limits, but it has not been divided by 2 to find the average, which is the class mark.

The incorrect option is 4:
Option 4 (160) is the lower limit of the class interval, not the class mark.