A swimming club records the water temperature in its training pool each morning. Today the display reads \(27\)°C, correct to the nearest whole degree, as s...
Question 1 Report
A swimming club records the water temperature in its training pool each morning. Today the display reads \(27\)°C, correct to the nearest whole degree, as shown on the scale.
Write down the error interval for the true temperature, \(t\)°C. (2)
Answer Details
Rounding to the nearest whole degree means the true temperature lies within half a degree either side of the displayed reading.
\[ 26.5 \leq t \lt 27.5 \] [2 marks]
The lower bound, \(26.5\), is included because a temperature of exactly \(26.5^\circ\)C would round up to \(27^\circ\)C, while the upper bound, \(27.5\), is excluded because a temperature of exactly \(27.5^\circ\)C would round up to \(28^\circ\)C rather than down to \(27^\circ\)C.
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