Convert the given frequency distribution into a continuous grouped frequency distribution:

Class interval	Frequency
$150-153$	$7$
$154-157$	$7$
$158-161$	$15$
$162-165$	$10$
$166-169$	$5$
$170-173$	$6$

In which intervals would $153.5$ and $157.5$ be included?

(N/A) To convert a discontinuous frequency distribution into a continuous one,we find the difference between the lower limit of a class and the upper limit of the preceding class. Let this difference be $d$. The adjustment factor is $h = d/2$.
Here,$d = 154 - 153 = 1$. Thus,$h = 1/2 = 0.5$.
We subtract $0.5$ from each lower limit and add $0.5$ to each upper limit.

Original Class	Continuous Class	Frequency
$150-153$	$149.5-153.5$	$7$
$154-157$	$153.5-157.5$	$7$
$158-161$	$157.5-161.5$	$15$
$162-165$	$161.5-165.5$	$10$
$166-169$	$165.5-169.5$	$5$
$170-173$	$169.5-173.5$	$6$

Based on the continuous intervals:
- $153.5$ is included in the interval $153.5-157.5$.
- $157.5$ is included in the interval $157.5-161.5$.