Answer the questions below. (a) The 9 members of a fraternity have the following test scores: 65, 120, 121, 123, 124, 125, 126, 127, 131. Which measure should be used to summarize the data? Mean O Median Mode (b) At a certain company, the 10 employees have the following weekly salaries: $800, $810, $820, $830, $840, $ 880, $920, $930, $950, $960. Which measure should be used to summarize the data? Mean O Median Mode (c) A data set shows the age of each resident at Lakeview Retirement Home. Which measure gives the age shared by the most residents? Mean Median Mode
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.
Part a:
The given data set contains an extreme value 65 which is much different from the rest of the values.
Median is best measure when the data includes extreme points (outliers).
Thus, the median can be used to summarize the data.
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