Consider the following set of times, measured in 1/100ths of a second: 62 65 71 72 73 75 76 77 79 80 82 83 92 100 106 117 127 65 70 72 72 74 75 76 77 79 80 82 88 93 102 110 121 128 65 70 72 73 74 76 76 78 80 81 83 90 95 103 112 122 135 Sketch a distribution for the data and decide which would be the most appropriate measure of central tendency for it. Calculate this measure and also all measures of dispersion. Use scaled paper for sketching the distribution.
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.
- Consider the following set of times, measured in 1/100ths of a second:
62 65 71 72 73 75 76 77 79 80 82 83 92 100 106 117 127
65 70 72 72 74 75 76 77 79 80 82 88 93 102 110 121 128
65 70 72 73 74 76 76 78 80 81 83 90 95 103 112 122 135
- Sketch a distribution for the data and decide which would be the most appropriate measure of
central tendency for it. Calculate this measure and also all measures of dispersion. Use scaled paper for sketching the distribution. - Draw a histogram, frequency
polygon , greater than and less than cumulative frequency curve, and stem-and-leaf chart for this data.
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