Respuesta :
Answer: Mean (μ) = 3.3; Standard Deviation (s) = 1.26
Step-by-step explanation:
The mean is the sum of all the value on your data set divided by the total number of the sample:
μ = ∑x / n
μ = [tex]\frac{2+3+2+3+3+4+2+4+3+2+2+7+3+4+5+3+3+3+3+5}{20}[/tex]
μ = 3.3
The standard deviation is the square root of the square of the difference between each value of the sample and the mean divided by the number of the sample minus 1:
s = [tex]\sqrt{\frac{(x_{i} - x)^{2} }{n - 1} }[/tex]
s = [tex]\sqrt{\frac{(2-3.3)^{2} + ... + (5-3.3)^{2} }{20-1} }[/tex]
s = [tex]\sqrt{\frac{30.2}{19} }[/tex]
s = 1.26
Mean (μ) is the average value of a data set. It is as if all the sample has had the same digits to do something. For example, Scrapper Elevator Company has a mean of 3.3. In "ideal" conditions, each sales representative would sell 3.3 products throughout the US and Canada.
Standard Deviation (s) is a value of how far the numbers are from the middle. For example, the sales representative who sold 7 products is 1.26 distant from the middle.
The mean ls the average of a distribution obtained by taking the ratio of the sum and the frequency. The mean and standard deviation values of the distribution are 3.30 and 1.26 respectively
- Mean, μ = ΣX/ n
- Standard deviation = √variance
X = 2,3,2,3,3,4,2,4,3,2,2,7,3,4,5,3,3,3,3,5
- ΣX = sum of X = 66
- n = sample size = 20
Mean = 66/20 = 3.3
The variance = [Σ(X - μ)²] ÷ (n - 1)
Variance = [Σ(X - μ)²] ÷ (n - 1) = (30.2)/19 = 1.589
The standard deviation = √variance = √1.589 = 1.26
Therefore, the mean and standard deviation values are 3.30 and 1.26.
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