Question

In histogram, the rectanglular bar corresponding to each range interval -

• A. has a height equal to the frequency of the corresponding range interval.
• B. intersects with its preceding and subsequent rectangles, if any.
• C. maintains a gap of equal length with its preceding and subsequent rectangular bars, if any.
• D. None of the above.

Answer 1

Answer: (A), (B)

intersects with its preceding and subsequent rectangles, if any.

Histograms are plotted from grouped frequency table.

The range intervals are plotted on the horizontal axis, and the vertical axis represents the frequency corresponding to each interval range.

Each rectangular bar corresponds to each range interval of the data set, whose height represents the frequency of the respective range interval in the given data set.

Hence, option (a) is correct.

In grouped frequency table, range intervals are segregated so that the range intervals are continuous.

Hence, each corresponding rectangles touch the other.

Consider the data of number of students in a community with respect to their ages: Age Groups Number of Students

$0\le \text{Age}<10$	$45$
$10\le \text{Age}<20$	$105$
$20\le \text{Age}<30$	$40$

The corresponding histogram is as follows:
$\therefore$ Option (b) is also correct.