Line Graph Statistics Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumA shop recorded weekly sales (in units) over 6 weeks: 40, 55, 50, 65, 60, 75. From the line graph of this data, identify (a) the overall trend and (b) the week with the largest increase in sales.
Solution
- 1 Step 1: Plot the points: (Week 1, 40), (Week 2, 55), (Week 3, 50), (Week 4, 65), (Week 5, 60), (Week 6, 75).
- 2 Step 2: Observe the overall direction — despite small dips, the values generally increase from 40 to 75, so the overall trend is upward.
- 3 Step 3: Calculate the change between consecutive weeks: W1→W2: +15, W2→W3: −5, W3→W4: +15, W4→W5: −5, W5→W6: +15.
- 4 Step 4: The largest single-week increase is +15 units, which occurs in Weeks 1→2, 3→4, and 5→6.
Answer
(a) The overall trend is upward. (b) The largest increase is 15 units, occurring from Week 1 to Week 2, Week 3 to Week 4, and Week 5 to Week 6.
Reading a line graph involves identifying the overall trend (upward, downward, or stable) and analysing the steepness of line segments to find where the greatest changes occur. Steeper segments indicate larger changes between consecutive data points.
About Line Graph
A line graph is a chart that uses points connected by straight line segments to show how a quantity changes over time or across a continuous variable. The horizontal axis typically represents time, and the vertical axis represents the measured value.
Learn more about Line Graph →More Line Graph Examples
Example 1 easy
The table shows the temperature at noon each day for five days: Monday 12°C, Tuesday 14°C, Wednesday
Example 3 mediumA city recorded the average monthly rainfall (in mm) from January to June: 30, 25, 40, 55, 70, 85. B
Example 4 hardTwo towns recorded their noon temperatures (°C) over 4 days. Town A: 18, 22, 19, 25. Town B: 20, 21,