Consider the following sample data. Sample A: 11, 22, 33 Sample B: 81, 92, 103 Sample C: 1,100; 1,111; 1,122 (a) Find the mean and standard deviation for each sample. Sample A: Sample B: Sample C: Mean Sample Standard Deviation (b) What does this exercise show about the standard deviation? multiple choice The idea is to illustrate that the standard deviation is not a function of the value of the mean. The idea is to illustrate that the standard deviation is a function of the value of the mean.
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 sample data.
| Sample A: | 11, 22, 33 |
| Sample B: | 81, 92, 103 |
| Sample C: | 1,100; 1,111; 1,122 |
(a) Find the
| Sample A: | Sample B: | Sample C: | |
| Mean |
|
|
|
| Sample Standard Deviation |
|
|
|
(b) What does this exercise show about the standard deviation?
-
The idea is to illustrate that the standard deviation is not a
function of the value of the mean. -
The idea is to illustrate that the standard deviation is a function of the value of the mean.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
