Find the mean, median, and mode of the following data: (round to 1 decimal place as needed) 35, 12, 17, 30, 12, 29, 33, 12, 29, 15 Mean = %3D Median %3D Mode Submit Question
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: Mean is defined as the ratio of sum of all observations to the total number of all observations and it is given by
where = sum of all observations
and n = total number of all observations.
- Mean is most affected by the extreme outliers.
Median: Median is exactly middle value of the data.
Before going to find the Median arrange the in the Ascending Order.
Case (i) : If the data set is odd numbered, then Median is exactly the middle value.
Case (ii) : If the data set is even numbered, then Median is the average of the two middle values.
- Median is least affected by the extreme values.
Mode: Mode is the most frequently repeated value in the data set.
- Mode is least affected by the extreme values.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
