The temperature of a chemistry laboratory during summer was recorded to be 29.32 degreeC. A student used a thermometer to measure the temperature four times and recorded the temperatures shown below. Calculate the percentage error.
28.62 degreeC
27.09 degreeC
29.01 degreeC
29.00 degreeC
29.32%
4.74%
1.39%
27.93%
To calculate the percentage error, we need to find the difference between each measured temperature and the actual temperature, then divide that difference by the actual temperature and multiply by 100 to get a percentage.
The actual temperature is 29.32 degreeC.
For the first measurement:
Difference = |28.62 - 29.32| = 0.7
Percentage error = (0.7/29.32) x 100 = 2.39%
For the second measurement:
Difference = |27.09 - 29.32| = 2.23
Percentage error = (2.23/29.32) x 100 = 7.61%
For the third measurement:
Difference = |29.01 - 29.32| = 0.31
Percentage error = (0.31/29.32) x 100 = 1.06%
For the fourth measurement:
Difference = |29.00 - 29.32| = 0.32
Percentage error = (0.32/29.32) x 100 = 1.09%
To get the overall percentage error, we can take the average of these percentage errors:
(2.39% + 7.61% + 1.06% + 1.09%) / 4 = 3.29%
Therefore, the percentage error is 3.29%.
To calculate the percentage error, we need to find the average of the recorded temperatures and compare it to the actual temperature.
First, let's find the average of the recorded temperatures:
(28.62 degreeC + 27.09 degreeC + 29.01 degreeC + 29.00 degreeC) / 4 = 28.43 degreeC
Next, we can calculate the absolute difference between the average recorded temperature and the actual temperature:
|28.43 degreeC - 29.32 degreeC | = 0.89 degreeC
Finally, we can calculate the percentage error by dividing the absolute difference by the actual temperature and multiplying by 100:
(0.89 degreeC / 29.32 degreeC) * 100 = 3.04%
Therefore, the percentage error is approximately 3.04%.