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.