A number generator was used to simulate the percentage of people in a town who can skateboard. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who can skateboard in the town is shown in the dot plot. Which statement is true about the population of the town?

The complete question is;

A number generator was used to simulate the percentage of people in a town who can skateboard. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who can skateboard in the town is shown in the dot plot attached below.

Which statement is true about the population of the town?

A) Most likely, 30% to 40% of the town can skateboard.

B) Most likely, 40% to 50% of the town can skateboard.

C) Most likely, 20% to 35% of the town can skateboard.

D) Most likely, 10% to 20% of the town can skateboard.

Option C - Most likely, 20% to 35% of the town can skateboard.

Step-by-step explanation:

We are told that the simulation process was repeated for 20 times on 100 people each time.

Which means that the total number of people the total number of people selected for this simulation is = 20 x 100 = 2000 people

Now, from the dot plot, we can see the various percentage gotten for tbose who can skateboard for each of the samples.

One dot represents a sample.

Now, from the dot plot we see the following;

For 15%, we have 1 sample. Since each sample has 100 people. Thus, in this one, number of people who can skateboard = 1 × 15% × 100 = 15 people

Similarly,

For 20%, we have 3 samples. Since each sample has 100 people. Thus, in this one, number of people who can skateboard = 3 × 20% × 100 = 60 people

For 25%, we have 4 samples. Since each sample has 100 people. Thus, in this one, number of people who can skateboard = 4 × 25% × 100 = 100 people

For 30%, we have 7 samples. Since each sample has 100 people. Thus, in this one, number of people who can skateboard = 7 × 30% × 100 = 210 people

For 35%, we have 5 samples. Since each sample has 100 people. Thus, in this one, number of people who can skateboard = 5 × 35% × 100 = 175 people

So, in all the samples, total number of people who can skateboard = 15 + 60 + 100 + 210 + 175 = 560

Since total number of people in this entire simulation was 2000 people, thus, total percentage of those who can skateboard = 560/2000 × 100 = 28%

So, looking at the options we have, 28% falls into the category of option C which is; Most likely, 20% to 35% of the town can skateboard.

explanation:

remove parenthesis:

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apply rule

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multiply fractions:

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divide:

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mordancy.