MindMap Gallery Statistical score of numerical variable data
Statistical mind map about numerical variable data, mainly including frequency distribution of numerical variable data, description of central tendency, Description of discrete trends, etc.
Edited at 2024-03-17 21:09:24[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
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[In-depth Analysis of the Zootopia Sequel] "When the utopian filter shatters, how do we reconstruct the laws of coexistence?" The two-part series, through the metaphor of herbivores/carnivores, escalates the conflict from individual bias to systemic contradiction.
[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
This is a mind map about Deep Analysis of Character Relationships in Zootopia 2, Main content: 1、 Multi-layer network of relationships: interweaving of main lines, branch lines, and hidden interactions, 2、 Motivation for Character Behavior: Active Promoter and Hidden Intendant, 3、 Key points of interaction: logic of conflict, collaboration, and covert support, 4、 Fun Easter eggs: metaphorical details hidden in interactions.
[In-depth Analysis of the Zootopia Sequel] "When the utopian filter shatters, how do we reconstruct the laws of coexistence?" The two-part series, through the metaphor of herbivores/carnivores, escalates the conflict from individual bias to systemic contradiction.
Statistical score of numerical variable data
Frequency distribution of numerical variable data
Prepare frequency distribution tables and draw frequency distribution graphs
Calculate the range (full range): R = the difference between the maximum value and the minimum value
Determine the number of group segments, group spacing and group segments (group segments only include the lower limit value but not the upper limit value)
list
Uses of Frequency Distribution Tables and Frequency Distribution Charts
Intuitive
Descriptive features
Suspicious value found
description of central tendency
arithmetic mean
direct method
The quotient obtained by directly adding the sum divided by the number of observations is the mean of the set of data.
weighting method
First, compile the data into a frequency table to find out the frequency of each group of segments. The sum of the lower limits of two adjacent groups of segments can be divided by 2 to calculate the frequency of each group. Use the class mid-value of the segment and substitute the formula (11-2) to find the mean.
geometric mean
direct method
weighting method
Median and percentile
Percentile is a position indicator. Arrange the eight observed values from small to large and divide them into 100 equal parts. Each equal part contains 1% of the observed values. Then the value corresponding to the second percentile is called the percentile, represented by user. Among all the data, there are smaller ones than corpses. 2% of the observed values are larger than corpse, with (100-1)% of the observed values. Obviously the median is ie the 50th percentile (P0). Percentile is used to describe the level of a certain percentile position in the observation sequence, and is often used to determine the reference value range (see Section 2 of this chapter). Percentiles can also be used to describe various frequency distribution data. When multiple percentiles are combined, the distribution characteristics of the observed values can be summarized more comprehensively, including central tendency and discrete trend.
direct method
When the sample size is not large, the n observed values can be arranged in order from small to large.
When it is an odd number, the median is the middle value.
When it is an even number, the median is the value in the middle
frequency table method
Median and percentile
Description of discrete trends
Full range (R): Extremely poor
The larger R, the larger the dispersion. (It is more scientific to use it with other indicators)
The interquartile range is represented by Q, which is the difference between the upper quartile and the lower quartile), that is, P75-P25. For p75, 25% of the observed values are greater than it, which is called the upper quartile. . The larger the interquartile range, the greater the dispersion. ) is generally used together with the median to describe the distribution characteristics of non-normal distribution.
Variance (yeriance) is an indicator that describes the average spread of all observations and the mean, indicating the average spread of a set of data. degree.
population variance
sample variance
The standard deviation is the arithmetic square root of the variance
The purpose of standard deviation: 1. The larger the standard deviation, the more dispersed the distribution of variable values, and the less representative the mean, and vice versa: ② Used to calculate the spatial difference coefficient: ③ Used to calculate the standard error: (error plus mean The law of numbers and normal sums 4. The law of estimating the mean and normal distribution
Coefficient of variation: the ratio of the standard deviation to the arithmetic mean