Respuesta :
Answer:approximately 22.63.
Explanation:To calculate the standard deviation for a set of numbers, you can follow the steps below:
1. Calculate the mean of the numbers:
Mean = (10 + 20 + 30 + 40 + 50 + 60 + 70 + 80) / 8
Mean = 360 / 8
Mean = 45
2. Calculate the squared differences of each number from the mean:
(10 - 45)^2 = 1225
(20 - 45)^2 = 625
(30 - 45)^2 = 225
(40 - 45)^2 = 25
(50 - 45)^2 = 25
(60 - 45)^2 = 225
(70 - 45)^2 = 625
(80 - 45)^2 = 1225
3. Sum all the squared differences:
Total = 1225 + 625 + 225 + 25 + 25 + 225 + 625 + 1225
Total = 4100
4. Divide the total from step 3 by the number of values, N:
Standard deviation = √(4100 / 8)
Standard deviation = √512.5
Standard deviation ≈ 22.63
Therefore, the standard deviation for the numbers 10, 20, 30, 40, 50, 60, 70, 80 is approximately 22.63.
