Question

what is the class mark of the class interval 45-50

Answer 1

The class mark of the class interval 45 - 50 is 47.5

Given :

The class interval 45 - 50

To find :

The class mark of the class interval

Concept :

Class Mark :

For any grouped frequency table with class intervals, the middle value of the class limits or the class boundaries of any class is called class mark of the class

Solution :

Step 1 of 3 :

Write down the given class interval

The given class interval is 45 - 50

Step 2 of 3 :

Write down Upper Class boundary & Lower class boundary

For the given class interval 45 - 50

Upper Class boundary = 50

Lower class boundary = 45

Step 3 of 3 :

Find class mark of the class interval

The class mark of the class interval

$\displaystyle \sf{ = \frac{Upper \: Class \: boundary + Lower \: class \: boundary }{2} }$

$\displaystyle \sf{ = \frac{50 + 45}{2} }$

$\displaystyle \sf{ = \frac{95}{2} }$

$\displaystyle \sf{ = 47.5}$

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Answer 2

Tip:

Recall the concept of grouped data

The class interval is the difference between the upper-class limit and the lower-class limit.

Classmark is the average of the upper limit and the lower limit of a class in a frequency distribution

Given:

Upper-class limit$=50$

Lower-class limit$=45$

Explanation:

Class mark$=\frac{upperclass -limit+lowerclass-limit}{2}$

$\implies\frac{50+45}{2}$

$\implies\frac{95}{2}$

$\implies 47.5$

The classmark is $47.5$