Students will be introduced to file input and output. We will read a file, line by line, converting each line

into a number. We will then use the numbers to calculate the mean and standard deviation.

Problem:

Task #$1$Writing Output to a File

$1.$ Copy the file Numbers.txt from the Student Files or as directed by your instructor.

$2.$ First we will write output to a file: a$.$ Create a FileWriter object passing it the filename Results.txt

$($Don$$t forget the needed import statement$).$ b$.$ Create a PrintWriter object passing it the FileWriter

object. c$.$ Since you are using a FileWriter object, add a throws clause to the main method header. d$.$

Print the mean and standard deviation to the output file using a three decimal format, labeling each. e$.$

Close the output file.

$3.$ Compile, debug, and run. You will need to type in the filename Numbers.txt$.$ You should get no

output to the console, but running the program will create a file called Results.txt with your output. The

output you should get at this point is: mean $=0\mathrm{.}000,$ standard deviation $=0\mathrm{.}000.$ This is not the correct

mean or standard deviation for the data, but we will fix this in the next tasks.

Task #$2$ Calculating the Mean

$1.$ Now we need to add lines to allow us to read from the input file and calculate the mean. a$.$ Create a

FileReader object passing it the filename. b$.$ Create a BufferedReader object passing it the FileReader

object.

$2.$ Write a priming read to read the first line of the file.

$3.$ Write a loop that continues until you are at the end of the file.

$4.$ The body of the loop will: a$.$ convert the line into a double value and add the value to the

accumulator b$.$ increment the counter c$.$ read a new line from the file

$5.$ When the program exits the loop close the input file.

$6.$ Calculate and store the mean. The mean is calculated by dividing the accumulator by the counter.

$7.$ Compile, debug, and run. You should now get a mean of $77\mathrm{.}444,$ but the standard deviation will still

be $0\mathrm{.}000.$

Task #$3$ Calculating the Standard Deviation

$1.$ We need to reconnect to the file so we can start reading from the top again. a$.$ Create a FileReader

object passing it the filename. b$.$ Create a BufferedReader object passing it the FileReader object.

$2.$ Reinitialize the sum and count to $0.$

$3.$ Write a priming read to read the first line of the file.

$4.$ Write a loop that continues until you are at the end of the file.

$5.$ The body of the loop will: a$.$ convert the line into a double value and subtract the mean, store the

result in difference b$.$ add the square of the difference to the accumulator c$.$ increment the counter d$.$

read a newline from the file.

$6.$ When the program exits the loop close the input file.

$7.$ The variance is calculated by dividing the accumulator $($sum of the squares of the difference$)$ by the

counter. Calculate the standard deviation by taking the square root of the variance $($Use the Math.sqrt

method to take the square root$).$

$8.$ Compile, debug, and run. You should get a mean of $77\mathrm{.}444$ and standard deviation of $10\mathrm{.}021.$

CAN YOU PLEASE SHOW HOW TO MAKE THE NUMBERS.TXT DOCUMENT WITH THE FOLLOWING NUMBERS

$87\mathrm{.}5517,72\mathrm{.}14015,88\mathrm{.}24248,60\mathrm{.}524,65\mathrm{.}38684,94\mathrm{.}48039$