Today's program will ask you to calculate the standard deviation of 10 random numbers. To do this you will use the following formula:

StdDev=i=1i=N(xixavg)2N

Your program follow the following steps:

• Create an array of datatypedoublewith 10 elements.
• In one loop, generate random numbers between 20 and 80 (using a random number generator, seeded with time) and store into each element of the array. Also, in this loop, print each of the randomly generated numbers to the screen, all on a single line of output.
• In a separate loop, sum the values up so that you can calculate the mean(average) of the generated values. After this loop, calculate the average.
• Using a third loop, calculate the sum of the squares of the difference of each element and the average you calculated above. That is, calculate this:
  • i=1i=N(xi-xavg)2

wherex_iis one element of the array,x_avgis the mean(average) value of the array,Nis equal to the number of elements(in this case 10).

• Once the loop is over, divide the sum byN, which in this case is 10 and take the square root of that value.
• Once completed, print the mean(average)(3 decimal places), and the Standard Deviation to 4 decimal places.

Sample output:

53 43 64 71 45 73 72 68 73 26 The mean value is: 58.800 The standard deviation of the numbers was: 15.4519