Here is a set of data. 66 105 119 230 240 365 456 507 620 704 742 871 944 964 Identify the 5 number summary (min, Q1, median, Q3, max)
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.
Here is a set of data.
| 66 | 105 | 119 | 230 | 240 | 365 | 456 | 507 | 620 | 704 | 742 | 871 | 944 | 964 |
Identify the 5 number summary (min, Q1,
Solution:
Sort the data in ascending order
The median is the center value.
The median is between 456 & 507.
After computing the median, the first quartile (Q1) is the median of the 1st half of the data, not including the median value.
The second quartile (Q2) is the median of the 2nd half of the data, not including the median value.
From the given data set,
Step by step
Solved in 2 steps with 12 images
