Consider a data set of 15 distinct measurements with mean A and median B. (a) If the highest number were increased, what would be the effect on the median and mean? Explain. A. The mean would remain the same while the median would increase. B. Both the mean and median would increase. C. Both the mean and median would remain the same. D. The mean would increase while the median would remain the same. (b) If the highest number were decreased to a value still larger than B, what would be the effect on the median and mean? A. The mean would decrease while the median would remain the same. B. Both the mean and median would decrease. C. Both the mean and median would remain the same. D. The mean would remain the same while the median would decrease. (c) If the highest number were decreased to a value smaller than B, what would be the effect on the median and mean? A. The mean would decrease while the median would remain the same. B. Both the mean and median would decrease. C. Both the mean and median would remain the same. D. The mean would remain the same while the median would decrease.
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 a data set of 15 distinct measurements with
(b) If the highest number were decreased to a value still larger than B, what would be the effect on the median and mean?
(c) If the highest number were decreased to a value smaller than B, what would be the effect on the median and mean?
The median is essentially the 50th percentile, so we can think mean as a balance point.
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