5A1: Analyzing Lab Results
In the table below are the results from four analytical labs, each of which analyzed the same soil sample for its benzene content. The actual concentration of benzene in the soil is 25 ppb.
Reported Concentration of Benzene in a Soil Sample (ppb) | ||||
Replicate | Lab A | Lab B | Lab C | Lab D |
1 | 25 | 19 | 25 | 28 |
2 | 29 | 29 | 25 | 27 |
3 | 21 | 30 | 27 | 27 |
4 | 23 | 16 | 25 | 29 |
5 | 27 | 16 | 25 | 29 |
6 | 22 | 21 | 24 | 27 |
7 | 27 | 16 | 28 | 26 |
8 | 20 | 29 | 26 | 27 |
9 | 30 | 26 | 25 | 28 |
10 | 25 | 30 | 27 | 27 |
1 Accuracy is defined as how close the measured value is compared to the true value.
Precision is defined as how close the measured values are compared to each other.
a) Lab C has the most accurate data because most of the values are 25 or close to 25.
b) Lab D has the most precise data because the difference between maximum and minimum measurement output is 3, which is lowest of all data set.
c) It is not the same lab.
2. For Lab A,
Average error is , AE =-1/10 = -0.01
To calculate variance we need to find the average output which is 24.9. Now the Standard deviation is,
SD = 3.38
Similarly For Lab B,
AE= -1.8
SD= 6.20
For Lab C,
AE = 0.7
SD = 1.25
For Lab D,
AE = 2.5
SD = 0.97
a) As we can see the average error is lowest for Lab C implying Lab C is most accurate. Standard deviation is lowest for Lab D implying Lab D is most precise.
5A1: Analyzing Lab Results In the table below are the results from four analytical labs, each...
5A1: Analyzing Lab Results In the table below are the results from four analytical labs, each of which analyzed the same soil sample for its benzene content. The actual concentration of benzene in the soil is 25 ppt Reported Concentration of Benzene in a Soil Sample (ppb) Replicate Lab Lab Lab Lab 25 1. Compare the four sets of data a. Which lab do you think has the most accurate data? b. Which lab has the most precise data? c....
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