Question

2) Fill in the table below: Fill in the differences of each data value from the mean, then the squared differences.x x−μ (x−μ)2 1612171811 ∑(x−μ)2= 3) Calculate the population standard deviation ( σ ). σ=√∑(x−μ)2N= 12.8Fill in the table below: Fill in the differences of each data value from the mean, then the squared differences. x x − μ ( x − μ ) 2 16 12 17 18 11 ∑ ( x − μ ) 2 = 3) Calculate the population standard deviation ( σ ). (Please round your answer to two decimal places)

Answer 1

Given:

The data is given as,

$16,\text{ }12,\text{ }17,\text{ }18,\text{ }11$

Required:

The standard deviation of the given data.

Explanation:

The mean of the given data is calculated as,

$\begin{gathered} Mean\text{ = }\frac{16+12+17+18+11}{5} \\ Mean\text{ = }\frac{74}{5} \\ Mean\text{ = 14.8} \end{gathered}$