The student took four pressure readings for each temperature. Table 1 shows the pressure readings when the temperature was 50.0^circ C Table 1 Calculate the uncertainty in the mean pressure. [2 ma

Question

Question

The student took four pressure readings for each temperature. Table 1 shows the pressure readings when the temperature was 50.0^circ C Table 1 Calculate the uncertainty in the mean pressure. [2 ma

Answer 1

After completing these steps to provide the formula, you will obtain the uncertainty in the mean pressure. Make sure these decimals for pressure measurements match with observational deviation of these measurements to ensure correctness.

Answer 2

## Step 1: Clarify the Task The task, in this case, is to calculate the uncertainty for a set of pressure readings taken at a consistent temperature of \( 50.0^{\circ} \mathrm{C} \). The given pressure readings at \( 50.0^{\circ} \mathrm{C} \) are {0.115, 0.120, 0.121, 0.116}). ## Step 2: Calculate Average In considering uncertainty, we begin by calculating the average (mean) of the pressure readings here. The average is contained by adding up all the individual readings and then dividing by the total count of those readings. Applying the formula to our data: ### \( \text{Average} = \frac{Sum \, of \, Readings}{Number \, of \, Readings} = \frac{0.115 + 0.120 + 0.121 + 0.116}{4} \) ## Step 3: Calculate Deviations The next step to calculate uncertainty involves ceremonious computation of each individual reading's extraction from the average. Then we square each deviation and find the sum of these squared deviations. ## Step 4: Standard Deviation We'll then divide that sum by (Number of Readings - 1), which is called the degrees of freedom, and take the square root of the result. This is known as the standard deviation (the uncertainty). ### \( \text{Standard deviation} = \sqrt{\frac{Sum \, of \, Squared \, Deviations}{Number \, of \, Readings - 1}} \) ## Step 5: Precision Once the Standard Deviation is occurring then the precision of the measurements made can also be presented as a measure of range or by the standard deviation.

Question

The student took four pressure readings for each temperature. Table 1 shows the pressure readings when the temperature was 50.0^circ C Table 1 Calculate the uncertainty in the mean pressure. [2 ma

Answer

Answer

Explain

Hot Questions