A man walks daily 84 minutes on a track. One day, his speed at each 6-minute interval is determined in feet/minute, by the following data. Time 0 6 12 18 24 60 36 42 48 Speed 124 134 148 156 147 133 121 109 99 Time 54 60 66 72 78 84 Speed 85 78 89 104 116 123 How long is the track? Also give a comparison by using different mode of approximation.
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.
A man walks daily 84 minutes on a track. One day, his speed at each 6-minute interval is determined in feet/minute, by the following data.
|
Time |
0 |
6 |
12 |
18 |
24 |
60 |
36 |
42 |
48 |
|
Speed |
124 |
134 |
148 |
156 |
147 |
133 |
121 |
109 |
99 |
|
Time |
54 |
60 |
66 |
72 |
78 |
84 |
|
|
|
|
Speed |
85 |
78 |
89 |
104 |
116 |
123 |
|
|
|
How long is the track? Also give a comparison by using different mode of approximation.
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