Question

A data has highest value $120$ and the lowest value $71.A$ frequency distribution in descending order with seven classes is to be constructed. The limits of the second class interval shall be

• A. $77$ and $78$
• B. $78$ and $85$
• C. $85$ and $113$
• D. $113$ and $120$

Answer 1

Answer: (D)

$113$ and $120$

Range of Frequency distribution=Highest Value-Lowest value

$=120-71=49$

Dividing this into Seven $\left(7\right)$ equal classes.

$\Rightarrow \frac{49}{7}=7$

Thus the class width should be 7

Now arranging in descending order

Class interval $1\to (120-7)to120\to 113-120$

Class interval $2\to (113-7)to113\to 106-113$

Hence class interval $1$ and $2$ is $113$ and $120$