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Java Project #3 Concepts tested in this program: * Variables * Input/output * Mathematical operators * Mathematical statements * Conditional statements (if-then statements) * loops

Java Project #3

Concepts tested in this program:

* Variables

* Input/output

* Mathematical operators

* Mathematical statements

* Conditional statements (if-then statements)

* loops

Coding: Name your program Statistics.java

**5.45 Statistics: compute mean and standard deviation

In business applications, you are often asked to compute the mean and standard deviation of data. The mean is simply the average of the numbers. The standard deviation is a statistic that tells you how tightly all the various data are clustered around the mean in a set of data. For example, what is the average age of the students in a class? How close are the ages? If all the students are the same age, the deviation is 0.

Write a program that prompts the user to enter ten numbers, and displays the mean and standard deviations of these numbers using the following formula:

image text in transcribed

Here is a sample run of the program:

Sample 1:

Enter numbers: 1 2 3 4.5 5.6 6 7 8 9 10

The mean is 5.61

The standard deviation is 2.99794

Sample 2:

Enter a number: 55

Enter a number: 60

Enter a number: 75.66

Enter a number: 81.2

Enter a number: 90.55

Enter a number: 100.1

Enter a number: 66.69

Enter a number: 75.5

Enter a number: 88.88

Enter a number: 99.99

The mean is 79.357

The standard deviation is 15.749124173179341

1T TL i G12 Tt i=1 mean

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