Question

For the following distribution, calculate the range of data.

Class Interval	$116-125$	$126-135$	$136-145$	$146-155$	$156-165$	$166-175$
Frequency	$5$	$9$	$13$	$7$	$11$	$6$

• A. $50$
• B. $60$
• C. $70$
• D. $80$

Answer 1

The correct option is B $60$

class interval	frequency	class boundaries
$116-125$	$5$	$115.5-125.5$
$126-135$	$9$	$125.5-135.5$
$136-145$	$13$	$135.5-145.5$
$146-155$	$7$	$145.5-155.5$
$156-165$	$11$	$155.5-165.5$
$166-175$	$6$	$165.5-175.5$

For the distribution, range is the difference between upper limit of the last interval and the lower limit of the first interval.

From the given table, The upper limit of the last interval is $175.5$ and

the lower limit of the first interval is $115.5$

Therefore, the range is $175.5-115.5=60$