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Megan recorded the temperature in her garden each morning for 66 days.\newlineThe mean of her six recorded temperatures was \newline2.1C2.1^{\circ}C. The temperature on one of the days was \newline4.1C4.1^{\circ}C.\newlineWhat was the mean of her other 55 recorded temperatures? Give your answer as a decimal.

Full solution

Q. Megan recorded the temperature in her garden each morning for 66 days.\newlineThe mean of her six recorded temperatures was \newline2.1C2.1^{\circ}C. The temperature on one of the days was \newline4.1C4.1^{\circ}C.\newlineWhat was the mean of her other 55 recorded temperatures? Give your answer as a decimal.
  1. Calculate Total Sum: Calculate the total sum of all temperatures for 66 days using the mean.\newlineMean = Total Sum / Number of Days\newline2.1C×6=12.6C2.1^\circ\mathrm{C} \times 6 = 12.6^\circ\mathrm{C}
  2. Subtract Day Temperature: Subtract the temperature of the day with 4.1C4.1\,^\circ\mathrm{C} from the total sum to find the sum of the other 55 days.\newline12.6C4.1C=8.5C12.6\,^\circ\mathrm{C} - 4.1\,^\circ\mathrm{C} = 8.5\,^\circ\mathrm{C}
  3. Calculate Mean: Calculate the mean of the temperatures for the remaining 55 days.\newlineMean = Total Sum / Number of Days\newline8.5°C5=1.7°C\frac{8.5\,\text{°C}}{5} = 1.7\,\text{°C}

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