Final answer:
To find the mean, add up all the numbers and divide by the total number of numbers. To find the standard deviation, follow a few steps involving finding the mean, subtracting it from each number, squaring the result, and taking the average. The value that is two standard deviations above the mean can be calculated by multiplying the standard deviation by 2 and adding it to the mean.
Step-by-step explanation:
To find the mean of a data set, you add up all the numbers and divide by the total number of numbers. In this case, the data set is {4, 6, 2, 2, 5}. Adding them up, we get 19. Since there are 5 numbers, the mean is 19/5 = 3.8.
To find the standard deviation, you need to follow a few steps. First, find the mean. Next, subtract the mean from each number in the data set and square the result. Then, calculate the average of all the squared differences. Finally, take the square root of the average. For the data set {4, 6, 2, 2, 5}, the standard deviation is approximately 1.85472.
To find the value that is two standard deviations above the mean, multiply the standard deviation by 2 and add it to the mean. In this case, it's 2 * 1.85472 + 3.8 = 7.50944.