Draw a histogram to represent the following grouped frequency distribution:
Ages (in years) Number of teachers
$20-24$ $10$
$25-29$ $28$
$30-34$ $32$
$35-39$ $48$
$40-44$ $50$
$45-49$ $35$
$50-54$ $12$

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(N/A) The given frequency distribution is in inclusive form. To draw a histogram,we must first convert it into an exclusive (continuous) form. We do this by calculating the adjustment factor: $\frac{\text{Lower limit of next class} - \text{Upper limit of current class}}{2} = \frac{25-24}{2} = 0.5$. Subtract $0.5$ from each lower limit and add $0.5$ to each upper limit.
Ages (in years) Number of teachers
$19.5-24.5$ $10$
$24.5-29.5$ $28$
$29.5-34.5$ $32$
$34.5-39.5$ $48$
$39.5-44.5$ $50$
$44.5-49.5$ $35$
$49.5-54.5$ $12$

Now,plot the ages on the $x$-axis and the number of teachers on the $y$-axis to construct the histogram.

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