Fitness Machine A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3 -hour period. Here X is the number of people who used the machine. X 0 1 2 3 4 PX 0.3 0.2 0.2 0.1 0.2 Find the mean. Round your answer to one decimal place as needed. Mean: =μ Find the variance. Round your answer to one decimal place as needed. Variance: σ2= Find the standard deviation. Round your answer to one decimal place as needed. Standard deviation: σ=
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Fitness Machine A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3 -hour period. Here X is the number of people who used the machine.
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X
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0
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1
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2
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3
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4
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PX
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0.3
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0.2
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0.2
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0.1
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0.2
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Find the
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Mean:
=μ
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Find the variance. Round your answer to one decimal place as needed.
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Variance:
σ2=
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Find the standard deviation. Round your answer to one decimal place as needed.
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Standard deviation:
σ=
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