(1) Multiply the percentage of "frequent participants" by 360 to get the solution;

(2) First, find out the number of "regular participants", then find out the number of people who like basketball, and then complete the statistical chart;

(3) Multiply the total number of students by the percentage of students who like basketball to get the solution;

(4) According to the fact that all 27 people who like table tennis are "regular participants", some students who "occasionally participate" will also like table tennis.

Answer:

Solution:

(1) 360× (1-15%-45%) = 360× 40% = 144. So the answer is:144.

(2) The number of "regular participants" is 300×40%= 120, and the number of people who like basketball is120-27-33-20 =120-80 = 40; The complete statistical chart is as shown in the figure:

(3) The number of boys who often take part in extracurricular physical exercises and their favorite sport is basketball is about1200× (40/300) =160.

(4) This statement is incorrect.

The reasons are as follows: Xiaoming got 108. Among the boys who often take part in extracurricular physical exercises, his favorite sport is table tennis. Some boys who occasionally take part in extracurricular physical exercises in the whole school like table tennis best, so it should be more than 108.