The standard deviation of the data set 4, 6, 2, and 5 is

Answered

2022-01-10

The standard deviation of the data set 4, 6, 2, and 5 is

Answer & Explanation

star233

star233

Expert

2022-02-09Added 238 answers

The standard deviation of a data set is given as:

σ=1N×i=1N(xix)2

where:

N - number of data;

x - mean value

xi - data in data set

To calculate the deviation we can use the following algorythm:

1. Calculate mean x

2. Calculate (xix)2 for all i

3. Add all values calculated in 2

4. Divide the sum by N

5. Get square root to calculate the deviation.

Here we have:

1. x=4+6+2+54=174=4.25

2. (24.25)2=(2.25)25

    (44.25)2=(0.25)20.0625

    (54.25)2=(1.25)21.6

    (64.25)2=(2.25)25

3. Sum is 5+0.0625+1.6+512

4. 12÷4.252.8

5. σ=2.81.67

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