Analyze the following data. Assume the true value of L

Rena Giron

Rena Giron

Answered question

2021-11-27

Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm.
L(cm)93.293.393.992.893.593.492.9
a) What are the mean and standard deviation of this data sample?
b) What is the uncertainty of the mean?
c) Report the measured value of L.

Answer & Explanation

Angsts

Angsts

Beginner2021-11-28Added 8 answers

Step 1
(a)
The mean of the data set is:
Mean=xn
=93.2+93.3+93.9++92.97
=93.286
The standard deviation is:
Standard deviation =(xx)2n1
=(93.293.286)2+(93.393.286)2++(92.993.286)271
=0.372
Hence, the required values are 93.286 and 0.372 respectively.
Step 2
(b)
The uncertainty of the mean is:
Uncertainity of mean=Max valueMin value2
=93.992.82
=0.55
Hence, the required value is 0.55.
Step 3
(c)
The required value is:
Required value=True valueMeasured value
=93.4093.286
=0.114
Hence, the required value is 0.114.

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