Question

What in the standard deviation for the net of deta {6,7,8,9,10}

Answer 1

The standard deviation for the given data set {6, 7, 8, 9, 10} is approximately 1.41.

Step-by-step explanation:

The standard deviation for the given data set {6, 7, 8, 9, 10} can be calculated using the following steps:

1. Calculate the mean of the data set: mean = (6 + 7 + 8 + 9 + 10)/5 = 8
2. Calculate the deviations from the mean for each data point:
   Deviation for 6 = 6 - 8 = -2
   Deviation for 7 = 7 - 8 = -1
   Deviation for 8 = 8 - 8 = 0
   Deviation for 9 = 9 - 8 = 1
   Deviation for 10 = 10 - 8 = 2
3. Square each deviation:
   Square of -2 = (-2)^2 = 4
   Square of -1 = (-1)^2 = 1
   Square of 0 = 0^2 = 0
   Square of 1 = 1^2 = 1
   Square of 2 = 2^2 = 4
4. Calculate the mean of the squared deviations:
   Mean of squared deviations = (4 + 1 + 0 + 1 + 4)/5 = 2
5. Calculate the standard deviation:
   Standard deviation = square root of mean of squared deviations = sqrt(2) ≈ 1.41

Therefore, the standard deviation for the given data set is approximately 1.41.