Every observation in a data set is multiplied by a constant k. What best describes the effect on summary measures for this data set? Select one: 1. The mean will be unchanged, and the standard deviation will increase by a factor of k. 2. The standard deviation will be unchanged, but the mean will change by a factor of k. 3. The mean and standard deviation will be unchanged because k is a constant. 4. Both the mean and standard deviation will change, but it is not possible to determine how they would change. 5. The mean and standard deviation will both change by a factor of k
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.
1. The
2. The standard deviation will be unchanged, but the mean will change by a factor of k.
3. The mean and standard deviation will be unchanged because k is a constant.
4. Both the mean and standard deviation will change, but it is not possible to determine how they would change.
5. The mean and standard deviation will both change by a factor of k.
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