11. Eighty people were surveyed out of a total of 250 people. Of the people surveyed, 63 people said they enjoy watching sports. If ALL 250 people were surveyed, how many people would have likely said that they enjoy watching sports? Make a prediction based on the above data.
To find out how many people would have likely said that they enjoy watching sports if all 250 people were surveyed, we can use the concept of proportion.
We know that out of the 80 people surveyed, 63 said they enjoy watching sports. Let's calculate the proportion of people who enjoy watching sports in the surveyed group:
Proportion = Number of people who enjoy watching sports / Total number of people surveyed
Proportion = 63 / 80 ≈ 0.7875
Now, we can use this proportion to predict how many people out of the total 250 would enjoy watching sports:
Prediction = Proportion * Total number of people
Prediction = 0.7875 * 250 ≈ 196.875
Therefore, based on the given data, it is predicted that around 197 people out of the total 250 would likely say that they enjoy watching sports.