A piper delivers 10.04, 10.02, 10.08, and 10.06 mL in consecutive trails. Find the mean volume and the average deviation from the mean...please help some responded but didn't answer the question.
Do you know how to calculate the mean.The mean is (10.04 + 10.02 + 10.08 + 10.06)/4 = ?
Then subtract each value (I'm sure you meant pipet and not piper) from the mean, that will give you four different values, disregard the sign (make them all positive), then add the 4 differences and divide by 4. That will be the average deviation of the mean.
Unlnowr
To find the mean volume, you need to add up all the volumes and divide the sum by the total number of trials. Let's calculate the mean volume step-by-step using the given data:
Step 1: Add up all the volumes
10.04 + 10.02 + 10.08 + 10.06 = 40.2 mL
Step 2: Divide the sum by the total number of trials
40.2 mL / 4 trials = 10.05 mL
Therefore, the mean volume is 10.05 mL.
To find the average deviation from the mean, you need to calculate the difference between each volume and the mean volume, and then find the average of these differences. Let's calculate the average deviation from the mean step-by-step using the given data:
Step 1: Find the difference between each volume and the mean volume:
10.04 mL - 10.05 mL = -0.01 mL
10.02 mL - 10.05 mL = -0.03 mL
10.08 mL - 10.05 mL = 0.03 mL
10.06 mL - 10.05 mL = 0.01 mL
Step 2: Find the average of these differences:
(-0.01 mL + -0.03 mL + 0.03 mL + 0.01 mL) / 4 trials = 0 mL
Therefore, the average deviation from the mean is 0 mL.
To find the mean volume, you need to calculate the average of the given volumes. You can do this by summing up all the volumes and then dividing the result by the total number of trials.
Mean Volume = (10.04 + 10.02 + 10.08 + 10.06) / 4
Mean Volume = 40.20 / 4
Mean Volume = 10.05 mL
Now, to find the average deviation from the mean, you need to find the deviation of each volume from the mean volume and then calculate the average of these deviations. The deviation is the absolute difference between the volume and the mean volume.
Deviation from Mean:
|10.04 - 10.05| = 0.01
|10.02 - 10.05| = 0.03
|10.08 - 10.05| = 0.03
|10.06 - 10.05| = 0.01
Average Deviation from Mean = (0.01 + 0.03 + 0.03 + 0.01) / 4
Average Deviation from Mean = 0.08 / 4
Average Deviation from Mean = 0.02 mL
Therefore, the mean volume is 10.05 mL and the average deviation from the mean is 0.02 mL.