Consider the following frequency distribution: Class: 0-5 6-11 12… - Vidyadip

MCQ

Consider the following frequency distribution:

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

The upper limit of the median class is:

A
$17$
✓
$17.5$
C
$18$
D
$18.5$

✓

Answer

Correct option: B.

$17.5$

Given, classes are not continuous, so we make continuous by subtracting $0.5$ from lower limit and adding $0.5$ to upper limit of each class.

Class	Frequency	Cumulative Frequency
$0.5-5.5$	$13$	$13$
$5.5-11.5$	$10$	$23$
$11.5-17.5$	$15$	$38$
$17.5-23.5$	$8$	$46$
$23.5-29.5$	$11$	$57$

Here,$\frac{\text{N}}{2}=\frac{57}{2}=28.5,$
which lies in the interval $11.5-17.5.$
Hence, the upper limit is $17.5.$

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