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.
We know,
- Standard deviation = √variance
To calculate mean and variance :-
X = 2,3,2,3,3,4,2,4,3,2,2,7,3,4,5,3,3,3,3,5
As, Mean = sum of x / sample size
66 / 20 = 3.3
Mean = 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
Standard deviation = 1.26
Therefore,
The mean and standard deviation values are 3.3 and 1.26.
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Correct Question - Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2,3,2,3,3,4,2,4,3,2,2,7,3,4,5,3,3,3,3,51. Compute the mean of the population.2. Compute the standard deviation.3. what would be the mean of the sample means?4. what would be the standard deviation of the sample means?
