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a) Calculate the mean and standard deviation. b) Generate a histogram from the data and normalize the histogram to represent the probability density function (PDF).

a) Calculate the mean and standard deviation.

b) Generate a histogram from the data and normalize the histogram to represent the probability density function (PDF). c) Calculate the PDF for the bin locations in part b using the equation for a normal distribution and the parameters calculated in part a.

d) Plot the PDF from part b as a bar graph and the PDF in part c as a line graph on the same chart. Do they overlap correctly? If not, explain why.

--> Above are the questions I need to answer and below is my code. I am not sure how to upload the excel file I used but its pretty much random data. When the graph is generated the line does not go over the bars and I am not sure how to fix it. I think that I did not do part C right and I need the bin in order for the line to fit. please show me in code form how I can incorporate C into my code.

Using MATLAB

numData= 2*xlsread('hw2.xlsx')+5; t=numData(:,1); bin=numData(:,2); m=mean(numData,1); s=std(t);

histogram(t,'Normalization','pdf') hold on y=-5:0.1:20; mu=5; sigma=2; f = exp(-(y-mu).^2./(2*sigma^2))./(sigma*sqrt(2*pi)); plot(y,f,'LineWidth',1.5)

fprintf('Standard Deviation:%.3f ',s) fprintf('Mean:%.3f ',m)

Here is what the graph looks like and I need the line to move over to the right.

image text in transcribed

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