Answer:
The correct answer s B. 2.21
Explanation:
There are three steps to calculate the standard deviation of the set of data given.
n = 5 (5 numbers in the set)
1. Calculate the mean, this way:
(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02
μ = 4.02
2. Calculate the variance, this way:
Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.
[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =
19.568/4 = 4.892
σ² = 4.892
3. Finally, the standard deviation. this way:
Standard deviation is the square root of the variance.
σ² = 4.892
√σ² = √4.892
σ = 2.21
The correct answer s B. 2.21