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Bar Graph, Histogram and Frequency Polygon — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsBar Graph, Histogram and Frequency Polygon5 Marks
Question
Construct a histogram for the following frequency distribution:
Class interval
$5-12$
$13-20$
$21-28$
$29-36$
$37-44$
$45-52$
Frequency
$6$
$15$
$24$
$18$
$4$
$9$
✓

Answer

Histogram is the graphical representation of a frequency distrubution in the form of rectangles, such that there is no gap between any two successive rectangles. Clearly and the lower limit of the next class. Therefore, we need to convert the given frequency distribution into exclusive form, as shown below:
Class interval
$4.5-12.5$
$12.5-20.5$
$20.5-28.5$
$28.5-36.5$
$36.5-44.5$
$44.5-52.5$
Frequency
$6$
$15$
$24$
$18$
$4$
$9$
To draw the required histogram, take class intervals, along $x$-axis and frequencies along $y$-axis draw rectangles. So, we required histogram. Since the scale on $X$-axis starts at $4.5$, a kink (break) is indicated near the origin to show that graph is drawn to scale beginning at $4.5$.

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