In matlab....

A student took fifteen measurements of temperature data for a heat experiment. The following temperatures were recorded; 55.7, 55.6,55.7, 58, 53.2, 63, 55.8, 55.1, 55.3, 55.7, 54.1, 55.6,53.4, 55.6, 55.4

a) plot the data in a histogram, and find the mean, and std using Matlab

b) plot a Gauss (normal) function against your data. Does it seem to follow a normal distribution?

c) according to Chauvenets Criteria can the student throw out any of these values? Explain you reasoning.

d) if you do throw out a value, what is the new mean and standard deviation. Does this change how the data appears against the Gauss (normal) distribution?