Which of the following is true? a. If two groups of numbers have the same mean, then their standard deviations must also be equal b. If two groups of numbers have the same mean, then their medians must also be equal c. If two groups of numbers have the same mean, then their modes must also be equal O d. None of the other answers are correct.
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.
Mean, Median and Mode are the different measures of the central tendency. They are used to find out the values which are centered in the data.
Mean, generally regarded as the most fundamental measure of central tendency is the ratio of sum of all the values in the data to the total number of values in the data. But it does not give an appropriate value if the data has extreme values or outliers.
Median is the middlemost value of the data, once arranged in ascending order. Among the three measures, median is the least affected by outliers.
Mode is most occurring value in the entire data.
Standard deviation, on the other hand, is a measure of dispersion, which is usually used to measure how much the values are spread around the mean of the data.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
