Questions: Carly has Hours of Training, Order of Training 1, 5 2, 3 3, 3 4, 0 5, 4 6, 2

Carly has

Hours of Training, Order of Training

1, 5
2, 3
3, 3
4, 0
5, 4
6, 2
Transcript text: Carly has Hours of Training, Order of Training 1, 5 2, 3 3, 3 4, 0 5, 4 6, 2
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Solution

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Calculate the mean of the hours of training.

Mean Calculation Formula.

The mean μ \mu is calculated using the formula μ=i=1NxiN \mu = \frac{\sum_{i=1}^N x_i}{N} . For the hours of training, we have μ=216=3.5 \mu = \frac{21}{6} = 3.5 .

Mean Result.

The mean of the hours of training is 3.5 3.5 .

3.5\boxed{3.5}

Calculate the variance and standard deviation of the hours of training.

Variance Calculation Formula.

The variance σ2 \sigma^2 is calculated using the formula σ2=(xiμ)2n \sigma^2 = \frac{\sum (x_i - \mu)^2}{n} . For the hours of training, the variance is 2.92 2.92 .

Standard Deviation Calculation.

The standard deviation is calculated as 2.92=1.71 \sqrt{2.92} = 1.71 .

2.92\boxed{2.92} and 1.71\boxed{1.71}

Calculate the mean of the order of training.

Mean Calculation Formula.

The mean μ \mu is calculated using the formula μ=i=1NxiN \mu = \frac{\sum_{i=1}^N x_i}{N} . For the order of training, we have μ=176=2.83 \mu = \frac{17}{6} = 2.83 .

Mean Result.

The mean of the order of training is 2.83 2.83 .

2.83\boxed{2.83}

Calculate the variance and standard deviation of the order of training.

Variance Calculation Formula.

The variance σ2 \sigma^2 is calculated using the formula σ2=(xiμ)2n \sigma^2 = \frac{\sum (x_i - \mu)^2}{n} . For the order of training, the variance is 2.47 2.47 .

Standard Deviation Calculation.

The standard deviation is calculated as 2.47=1.57 \sqrt{2.47} = 1.57 .

2.47\boxed{2.47} and 1.57\boxed{1.57}

The mean of the hours of training is 3.5\boxed{3.5}. The variance of the hours of training is 2.92\boxed{2.92} and the standard deviation is 1.71\boxed{1.71}. The mean of the order of training is 2.83\boxed{2.83}. The variance of the order of training is 2.47\boxed{2.47} and the standard deviation is 1.57\boxed{1.57}.

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