Photo Data Net 2021 "Criteria for Passability"
[University Admission Common Test 2021] Datanet "Criteria for Passability" released
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In addition, Datanet 2021 also provides an overview of the overall situation (datanet results overview, frequency distribution comparison graph for previous years, etc.), frequency distribution of 10 difficult universities and medical departments of national and public universities.
Benesse Corporation and Sundai Preparatory School announced on January 2021, 1 that the university entrance test self-scoring total "Data ... → Continue reading
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Frequency distribution(Dosubunpu, Frequency Distribution)statisticsInSpecimenIs a list of the values of a variable obtained as.A table that displays the number of appearances of each numerical value, arranged in order of quantity.Frequency distribution table)..The Japanese Industrial Standards define it as "observation of the relationship between a characteristic value and its frequency or relative frequency"..
For example, there are five levels of whether 100 people agree with a sentence.Likert scaleSuppose you answered in.At this time, 1 indicates that they strongly agree, and 5 indicates that they do not agree at all.The frequency distribution of the answers is as follows:
|class||Degree of consent||Number of responses|
|1||I strongly agree||25|
|2||I agree to some extent||35|
|3||I can't say either||20|
|4||I disagree to some extent||15|
|5||I disagree at all||5|
This simple table has two weaknesses.If the variate can take continuous values, or if the range of values that the variate can take is very wide, it will be difficult to create a frequency distribution table and it will not be suitable for analysis.Therefore, as a form of a table obtained by slightly modifying this, a method of dividing the variable values at equal intervals within a certain range is adopted.For example, when collecting student height statistics, the frequency distribution table is as follows.
|Height range||The number of students||accumulation|
|135 - 150 cm||25||25|
|150 - 165 cm||35||60|
|165 - 180 cm||20||80|
|180 - 195 cm||20||100|
The frequency-distributed data is easier to handle than the original data.There is a simple algorithm for finding the median, mean, and standard deviation from the frequency distribution.
From the evaluation of differences and similarities between multiple frequency distributionsHypothesis testWas devised.For this evaluationRepresentative value,averageMeasurement andStatistical variability(standard deviation,dispersion) Is relevant.
With averageMedianIf they are different, the frequency distribution歪 みIt is said that there is.Of frequency distributionkurtosisIs the degree of concentration on the average value,histogramIt is the sharpness of the graph when represented by.normal distributionThe case of sharpening above is called "raptic; leptokurtic", and the opposite case is called "platykurtic".
Frequency distribution is cryptanalysisFrequency analysisAlso used for.This is a method of deciphering the code from the frequency of appearance of each character type and the frequency of appearance of each character type in the language.
- Yasuo Nishioka "Mathematics Tutorial Easy Talking Probability Statistics"Ohmsha, 2013.ISBN 9784274214073.
- Mathematical Society of Japan"Mathematical Dictionary"Iwanami Shoten, 2007.ISBN 9784000803090.
- JIS Z 8101-1:1999 Statistics-Terms and symbols-Part 1: Probability and general statistical terms, Japanese Standards Association(1999)
- Koji Fushimi""Kawade Shobo, 1942.ISBN 9784874720127.