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

Mean Result.

The mean of the hours of training is \( 3.5 \).

\(\boxed{3.5}\)

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

Variance Calculation Formula.

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

Standard Deviation Calculation.

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

\(\boxed{2.92}\) and \(\boxed{1.71}\)

Calculate the mean of the order of training.

Mean Calculation Formula.

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

Mean Result.

The mean of the order of training is \( 2.83 \).

\(\boxed{2.83}\)

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

Variance Calculation Formula.

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

Standard Deviation Calculation.

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

\(\boxed{2.47}\) and \(\boxed{1.57}\)

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

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