104 students responses

21 liked sledding as their favorite winter activity if 500 people had. Responded, how many would have been expected to list sledding as their favorite winter activity? Round to the nearest whole person

21/104 is the fraction observed. So,

21/104 * 500 will give the expected number

21/104 = x/500

Cross multiply and solve for x.

104x = 10,500

x = 100.96 = 101

101

To find the expected number of people who would have listed sledding as their favorite winter activity if 500 people had responded, you can set up a proportion using the given information.

Let's denote the number of people who like sledding as 'x' out of the total responses, which is 104. Then, we set up the proportion:

x/104 = 21/500

To solve for x, we can cross-multiply and then divide:

x = (21 * 104) / 500
x = 4392 / 500
x ≈ 8.784

Rounding to the nearest whole person, the expected number of people who would have listed sledding as their favorite winter activity if 500 people had responded is 9.