Final answer:
The missing number of students in a class, given the average number of students is 32 over 10 classes, is determined to be 30.
Step-by-step explanation:
We are given the numbers of students in different classes of a high school with one missing value (x). To find x, we use the fact that the average number of students in all the classes is 32. Here are the steps to calculate the missing number:
- Sum the known numbers of students: 32 + 23 + 35 + 29 + 44 + 42 + 21 + 28 + 36 = 290.
- Since we know the average is 32 and there are 10 classes, the total number of students should be 10 times the average: 10 * 32 = 320.
- To find the missing number, subtract the sum of the known values from the total: 320 - 290 = 30. Hence, x = 30.
The missing number of students, x, is 30.