Find the​ mean, variance, and standard deviation for the data set.

Question

10 10 16 4 10
Question content area bottom
Part 1
The mean is x overbarequals
  
enter your response here.
Part 2
The variance is sigmasquaredequals
  
enter your response here.
​(Type an integer or a​ decimal.)
Part 3
The standard deviation is sigmaalmost equals
  
enter your response here.
​(Round to two decimal places as​ needed.)

Answer 1

Part 1
The mean is x̄ = (10 + 10 + 16 + 4 + 10) / 5 = 10

Part 2
The variance is σ^2 = ((10-10)^2 + (10-10)^2 + (16-10)^2 + (4-10)^2 + (10-10)^2) / 5
= (0 + 0 + 36 + 36 + 0) / 5
= 72 / 5
= 14.4

Part 3
The standard deviation is σ ≈ √14.4 ≈ 3.79

Therefore, the mean is 10, the variance is 14.4, and the standard deviation is approximately 3.79.