Question

A histogram is to be drawn for the following frequency distribution 

Class Interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

The adjusted frequency for class interval 15 - 25 will be : 

• A. 2
• B. 5
• C. 3
• D. 4

Answer 1

Answer:

B. 5

Solution:

Formula Used:

Adjusted frequency = (Frequency of the class interval $\times$ Minimum Class Width)/ Class width of the required interval

Calculation:

For class interval 15 - 25, 

Class width = upper limit of the class - lower limit of the class

⇒ Class width = 25 - 15 = 10

Frequency of that interval = 10

Minimum class width here is for the interval 5 - 10 = 5

Adjusted frequency = $\frac{(10\times{5})}{10}=5$

Therefore, the adjusted frequency for the class interval 15 - 25 is 5.