ENG3104 : Sample Mean and Standard Deviation - Calculate the Absolute Frequency - Engineering Assignment Help

Assignment Task :

1.1 Requirements
For this assessment item, you must perform hand calculations on the data in File <A3Q1_input.txt>
1. Find the sample mean and standard deviation for the first 10 data values. Report the answer in engineering convention form.

2. For the first 20 data values, use an appropriate representation of the data to calculate the absolute frequency, relative frequency and scaled frequency. Report the answer in engineering convention form.
You must also produce MATLAB code, stored as m-file(s), which:

3. Load the data file into MATLAB and repeat the hand calculations. Verify your answer using the reported results from Requirements 1 & 2.

4. Plot the scaled frequency using all the sample data to visualise what kind of distribution may be appropriate. Note that all of the calculation from this requirement to the end of this question are to use the full set of data.

5. Determine which theoretical distribution best describes the data set.  

6. Find the parameters of the theoretical distribution of the data set, along with an assessment of the accuracy of these values. Reports the obtained results to Command Window.

7. Graphically compare the sample probability density function (pdf) (i.e. the sample scaled frequency) and theoretical pdf for the data set.

8. Find the probability for the temperature less than or equal to the sample mean to occur.

9. Use the same theoretical distribution found in Requirement 5 to generate a new data set with the following changes: the size of the data set is two times larger, its mean is equal to µ + 5 and its standard deviation equal to 0.5 σ, where µ and σ are the mean and standard deviation of the data set in the file. Store them in an ascii file with values rounded to 3 significant figures.

10. Have appropriate comments throughout your MATLAB program

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