For a survey, 20 students in one class were asked to name their favorite sport. the tally chart shows the result.
Basket ball - 6
soccer-7
hockey - 5
volleyball - 2
suppose all 100 students in the grade were asked to name their favorite sport. how many students would you expect to say " soccer"
7/20 like soccer. We can set up a proportion and cross multiply.
7/20 = x/100
20x = 700
x = 35
Another way to do this problem:
100/20 = 5
5 * 7 = 35
To find out how many students would be expected to say "soccer" among all 100 students in the grade, we can use proportions.
First, we need to determine the proportion of students in the class who said "soccer".
Total students in the class = 20
Number of students who said "soccer" = 7
Proportion of students who said "soccer" = (Number of students who said "soccer") / (Total students in the class)
= 7/20
Now, we can use this proportion to estimate the number of students who would say "soccer" among all 100 students in the grade.
Total students in the grade = 100
Expected number of students who would say "soccer" = Proportion of students who said "soccer" * Total students in the grade
= (7/20) * 100
Therefore, we would expect around 35 students in the grade to say "soccer" as their favorite sport.