Question

The upper limit of the median class of the following distribution is

Class	0-5	6-11	12-17	18-23	24-29
Frequency	13	10	15	8	11

• A. $17$
• B. $17.5$
• C. $18$
• D. $18.5$

Answer 1

The correct option is B $17.5$

Converting the data into continuous frequency distribution by adding 0.5 to upper limit and subtracting 0.5 to lower limit, we get;

Class	Frequency	Cummulative Frequency
0.-5.5	13	13
5.5-11.5	10	23
11.5-17.5	15	38
17.5-23.5	8	46
23.5-29.5	11	57
	$\Sigma f_i=57$

$\frac{N}{2}=\frac{57}{2}=28.5$

$38$ is just greater than $28.5$

$\therefore$The Median class is $11.5-\mathrm{17.5.}$

Thus the upper limit is equal to $17.5$.