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Geography · Lessons

Calculate a temperature range

The subtraction looks easy until one of the temperatures is below zero and the answer comes out too small.

On this page
  1. Which range does the question want?
  2. How do you calculate it, step by step?
  3. Worked example
  4. The mistake to watch for
  5. Check yourself
  6. Where this leads next

Temperature range is the highest value minus the lowest value in whichever set of data you are given. It tells you how much the temperature varies, and questions ask for it with a unit.

It follows directly from reading values in read a climate graph correctly and is part of the weather and climate module.

Which range does the question want?

  • Daily (diurnal) range: highest minus lowest temperature within one day.
  • Annual range: warmest monthly mean minus coolest monthly mean.

The method is identical. Only the data changes, so check the labels first.

How do you calculate it, step by step?

  1. Underline the two numbers you need: the largest and the smallest.
  2. Write the subtraction as highest − lowest.
  3. If the lowest is negative, subtracting it means adding its size.
  4. Add the unit, °C.
  5. Sense check: the range cannot be negative.

Worked example

All data below is invented for teaching.

Part A, annual range. Town B has monthly mean temperatures of 26.7, 27.0, 27.4, 27.8, 28.4, 27.9, 27.5, 27.3, 27.2, 27.0, 26.9 and 26.8 °C. The warmest is 28.4 and the coolest is 26.7.

Range = 28.4 − 26.7 = 1.7 °C.

Part B, daily range with a negative. One winter day in Town C, the highest temperature is 6 °C and the lowest is −4 °C.

Range = 6 − (−4) = 6 + 4 = 10 °C.

Check by counting on a number line: from −4 up to 0 is 4 degrees, then from 0 up to 6 is 6 more. That is 10 in total, which matches.

The mistake to watch for

Mistaken answer: “6 − 4 = 2 °C.”

The student ignored the minus sign on −4 and treated it as 4.

The error makes the range look small when the day actually had a large spread. The correction is to write the brackets, 6 − (−4), and rewrite the subtraction as an addition. If you need practice with signs, revisit order signed numbers on a number line.

Check yourself

1. The highest temperature on a day is 12 °C and the lowest is −3 °C. Find the daily range.

Show answer

12 − (−3) = 12 + 3 = 15 °C.

2. A place has a warmest monthly mean of 24.8 °C and a coolest of 22.1 °C. Find the annual range.

Show answer

24.8 − 22.1 = 2.7 °C.

3. The highest temperatures on five days were 29, 31, 30, 32 and 28 °C. Find the mean of these five values, then the range.

Show answer

Sum = 29 + 31 + 30 + 32 + 28 = 150, and 150 ÷ 5 = 30 °C. The range is 32 − 28 = 4 °C.

Where this leads next

Continue with explain a rainfall mechanism with a diagram, then test the whole module in the practice set. The statistics and distribution explorer can check your means and ranges. If you understand this lesson but slip under timed conditions, online one-to-one Geography tuition can help you build a reliable routine.

Questions people ask

What is the difference between daily and annual temperature range?

Daily range is the highest temperature minus the lowest temperature in one day. Annual range is the warmest monthly mean minus the coolest monthly mean in a year. Read the question carefully, because the same subtraction gives two different ideas depending on which data you are given.

Can a temperature range be negative?

No. A range is highest minus lowest, so it is always zero or positive. If you get a negative answer you have subtracted in the wrong order, so swap the two values.

Why do places near the equator have a small annual range?

The sun is high in the sky in every month there, so the heat received changes little through the year. Places further from the equator have bigger seasonal differences in sun angle and day length, which usually gives a larger annual range.

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