Project Code $-$ Quantification of Uncertainty

You have been provided measurements of the boiling point of water with multiple temperature measurements provided at the condition of water boiling. There are four data sets provided, each with a different number of samples, or measurements of temperature at boiling conditions. Analyze each data set separately determining the:

Average or mean temperature of each data set

Do not use a MATLab built$-$in function to compute

The standard deviation of each data set

Do not use a MATLab built$-$in function to compute

Plot the mean temperature calculated as a function of data set number. In addition, add y value error bars to the reported mean for each data set using the standard deviation as the bounds for error. Assuming the true value of boiling is $99\mathrm{.}35$ degrees Celsius, which data set is closest to the true value and which data set has the smallest uncertainty in its mean value?