Question

The marks scored by $40$ candidates in an examination (out of $100$) is given below:

$75,65,57,50,32,54,75,67,75,88,80,42,40,41,34,78,43,61,42,46$

$68,52,43,49,59,49,67,34,33,87,97,47,46,54,48,45,51,47,41,43$.

Prepare a frequency distribution table with the class size $10$. Take the class intervals as $(30-39),(40-49),...$ and answer the following questions:

(i) Which class intervals have the highest and lowest frequency?

(ii) Write the upper and lower limits of the class interval $30-39$.

Answer 1

$\text{Class Interval}$	$\text{Frequency}$
$30-39$ $40-49$ $50-59$ $60-69$ $70-79$ $80-89$ $90-99$	$4$ $16$ $7$ $5$ $4$ $3$ $1$

(i) Class interval $40-49$ and $90-99$ have highest and lowest frequency respectively.

(ii) $\text{Upper Limit}=39$

$\text{Lower Limit}=30$