Line Graph Statistics Example 3

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Example 3

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A city recorded the average monthly rainfall (in mm) from January to June: 30, 25, 40, 55, 70, 85. Between which two consecutive months did rainfall increase the most?

Solution

  1. 1
    Step 1: Calculate the change between each pair of consecutive months: Jan→Feb: −5, Feb→Mar: +15, Mar→Apr: +15, Apr→May: +15, May→Jun: +15.
  2. 2
    Step 2: All increases are equal at +15 mm, so the increase is the same between Feb→Mar, Mar→Apr, Apr→May, and May→Jun.

Answer

The rainfall increased by 15 mm between each consecutive pair from February to June; no single pair had a greater increase than the others.
Analysing changes between consecutive data points on a line graph helps identify periods of rapid or slow change. When differences are constant, the line graph shows a steady, uniform upward trend.

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.

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