Respuesta :

To be able to determine the expected number of students who would choose spring as their favorite season, let's determine the possible ratio based on the given table.

[tex]\frac{\text{ Number of students choosing spring}}{\text{ Total number of students in the survey}}\text{ = }\frac{\text{ }24}{24\text{ + 55 + }12\text{ + 9}}[/tex][tex]\text{ }\frac{24}{100}\text{ = 0.24}[/tex]

Let's now determine the expected number based on the ratio of the sample in the survey,

Out of 1,300 students,

[tex]\text{ 1,300 x 0.24 = }312[/tex]

Therefore, the answer is 312.