A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). 1 3 4 5 7 8 8 Key: 1|5=15 2 0 1 2 2 3 4 5 7 8 8 9 3 0 0 1 1 1 2 2 3 3 4 4 5 5 7 7 7 8 9 4 0 0 1 2 2 3 4 5 5 5 5 6 7 8 8 9 5 0 2 3 5 5 7 8 6 1 3 6 7 7 8 7 (a) If a team is selected at random, find the probability the team scored at least 33 touchdowns.
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.
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1
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3 4 5 7 8 8 Key:
1|5=15
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2
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0 1 2 2 3 4 5 7 8 8 9
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3
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0 0 1 1 1 2 2 3 3 4 4 5 5 7 7 7 8 9
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4
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0 0 1 2 2 3 4 5 5 5 5 6 7 8 8 9
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5
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0 2 3 5 5 7 8
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6
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1 3 6 7
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7
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|
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8
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7
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(a) If a team is selected at random, find the
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