Forty graduating students at a local community college were surveyed to find their age upon graduation. 25, 51, 23, 50, 28, 22, 23, 25, 26, 34, 28, 29, 45, 23, 22, 23, 22, 20, 28, 26, 65, 28, 30, 56, 32, 20, 29, 21, 27, 28, 59, 34, 22, 22, 26, 25, 26, 21, 54, 64 Find the first quartile of the data. Qi years old Find the second quartile of the data. Q2 years old Find the third quartile of the data. Q3 = years old About what percent of the data is between Q1 and Q3? %
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.
Given information:
Total number of graduating students whose ages were collected, n = 40
The dataset consisting of ages of 40 graduating students is provided as:
25, 51, 23, 50, 28, 22, 23, 25, 26, 34, 28, 29, 45, 23, 22, 23, 22, 20, 28, 26, 65, 28, 30, 56, 32, 20, 29, 21, 27, 28, 59, 34, 22, 22, 26, 25, 26, 21, 54, 64
It is required to obtain:
- first quartile
- second quartile
- third quartile
- about what percent of data is between
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