Question

The frequency of a variable increase at a constant rate with respect to the variable, say x. The following table depicts some of the data points. Plot a line graph and find the missing data point 'm'.
xFrequency

1	3
2	5
3	7
4	m
5	11

Answer 1

Let's plot $x$ on the horizontal axis and the frequency on the vertical axis with the given data points.

Step 1: Plot the known data points

Step 2: Show the connections of the plotted data points

Step 3:
Given: Frequency is increasing at a constant rate with respect to $x.$
$\therefore$ The plot would be a straight line.
Hence, connect the data points $x=3$ and $x=5$ with a straight line.

From the graph we can find that at $x=4,$ frequency is $9.$
$\therefore m=9$