Question

Which is a two-dimensional graph?
(A) Pie
(B) Bar
(C) Histogram
(D) Frequency Curve

Answer 1

Hint: Start with describing each of the four graphs, i.e. pie chart, bar graph, histogram, and frequency curve. Now find out who among them uses two axes (x-axis and y-axis) to represent the data. Now eliminate the incorrect options to find an answer.

Complete step-by-step answer:
Here in this problem, we are given four options and among these four we need to find which of them two-dimensional graphs are. The given choices are pie, bar, histogram, and frequency curve.
A two-dimensional graph is a graph that expresses data on both the x-axis and y-axis.
A pie chart is a statistical graphic that uses a circle and its sector to represent the data. In a pie chart, the arc length of each slice (and consequently its central angle and area), is proportional to the quantity it represents. While it is named for its resemblance to a pie that has been sliced, there are variations in the way it can be presented.
A bar graph is the representation of categorical data using rectangular bars and the heights of these bars are measured on the y-axis and are proportional to the value they are representing. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column chart.
A histogram is a way of representing data in the form of rectangular bars where the height of the bar presents the value and the thickness represents the interval length between the numbers on the x-axis. A histogram is a plot that lets you discover, and show, the underlying frequency distribution (shape) of a set of continuous data.
A frequency-curve is a smooth curve for which the total area is taken to be unity. It is a limiting form of a histogram or frequency polygon. The frequency-curve for distribution can be obtained by drawing a smooth and freehand curve through the mid-points of the upper sides of the rectangles forming the histogram.
From these descriptions, it is clear that only the histogram uses both the axis to represent that data, and hence it is the only two-dimensional graph among the four.
Hence, the option (C) is the correct answer.

Note: Carefully analyse the given options. Do not confuse between bar graph and histogram as they are both x-axis and y-axis. But the bar graph does not represent the data on the x-axis, the sequence of the rectangular bars is of no importance. Whereas in a histogram, the x-axis represents the continuous and non-overlapping intervals that cannot be changed.