The standard total score is not the weighted average of the standard scores of all subjects. It is to add the standard scores of all subjects according to the weight to get a weighted sum (referred to as weighted value), and then convert this weighted value into the standard score, and the value obtained is the standard total score.

For example, in 2005, the senior high school entrance examination (the second set of questions) took five subjects, Chinese, mathematics, English, physics and chemistry. The weighted values of each subject are: Chinese, Mathematics, English 1, physics 0.6, chemistry 0.4. If a candidate's subject standards are divided into Chinese 560, Mathematics 600, English 590, Physics 580 and Chemistry 6 10, the weighted values of the five subjects of the candidate are:

560+600+590+580×0.6+6 10×0.4=2342

Finally, this weighted value is converted into the standard total score of five subjects.

5. How to count the sports scores in the senior high school entrance examination into the standard total score?

According to the regulations of the Physical Education Department of the senior high school entrance examination in 2006 by the Municipal Education Bureau, the results of this year's senior high school entrance examination are included in the standard total score of the senior high school entrance examination with a weight of 5%. If, according to the example of the sixth question above, and taking the physical education examination, the physical education standard of the candidates is 620, then the weighted values of the six subjects of the candidates after counting the physical education results are as follows.

560+600+590+580×0.6+6 10×0.4+620×0.05=2373

Finally, this weighted value is converted into the standard total score of six subjects.

1 1. How is the standard score calculated?

According to the principle of educational statistics, standard score z is the deviation between the original score and the average score in the standard deviation, which is expressed by the formula:

Among them: X is the original score of the candidate's personal income in this exam; It is the average score of all candidates in this exam; S is the standard deviation of the test score.

Standard score has the following properties:

(1) The average value is 0, and the standard deviation is1;

(2) Fractions are equidistant and can be added or subtracted;

(3) The conversion from the original score to standard score is linear, which will not change the distribution shape of the original score, nor will it change the position order of the original score.

Under normal circumstances, the converted standard score z is a decimal, and there will be a negative value, which is inconvenient in practical use, so it is necessary to carry out linear transformation (T transformation) on the score z:

This is what we usually call standard score. The average value of this standard score is 500, that is to say, if a candidate's standard score is 500, then the student's score is in the middle of the exam.

Of course, this is done on the premise of the normal distribution of the original score. If the distribution of the original score does not meet the requirements of normal distribution, it should be normalized first and then converted into standard score. The converted score is called normalized standard score, which is what we call standard score.