Question

To draw a histogram to represent the following frequency distribution:

Class interval	Frequency
$$\begin{gathered} 5-10 \\ 10-15 \\ 15-25 \\ 25-45 \\ 45-75 \end{gathered}$$	$$\begin{gathered} 6 \\ 12 \\ 10 \\ 8 \\ 15 \end{gathered}$$

The adjusted frequency for the class $25-45$ is

• A. $6$
• B. $5$
• C. $3$
• D. $2$

Answer 1

The correct option is D

$2$

Explanation for the correct option:

Find the adjusted frequency for the class $25-45$

The adjusted frequency of a class is given by,

$=\frac{Minimumclasssizeoffrequencydistribution\times Frequencyofgivenclass}{Classsizeofgivenclass}$

Minimum class size of frequency distribution $=5$

Frequency of given class $=8$

Class size of class $25-45=20$

Therefore, adjusted frequency for the class $25-45$ $=\frac{5\times 8}{20}$

$=2$

Hence, the adjusted frequency for the class $25-45$ is $2$.

Hence, option (D) is correct answer.