In Exercises 1 and 2, use the following wait times (minutes) a...

Question

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

d. Find the variance.

Accepted Answer

All right, hello, everyone. So this question says, the number of hours of sunlight received by different regions of the city during the summer months is provided below. Find the variants. Option A says 2.50 hours squared. B says 3.22 hours squared. C says 3.18 hours squared and D says 2.61 hour squared. So the first thing you need to do, right, is find the mean of your sample, or X bar. Now X bar in this case is equal to. The sum of all data points divided by how many data points there are. So here, that would be the sum of all of the given values divided by 12, which is the sample size. X bar ultimately is equal to. 23/3. So now At this point, you would do the following, and to demonstrate this example, I'm going to use one of our data points. So let's say Let's use 6 as an example here. So 6 is your X because that's your data value. First, what you do is take each individual data point and subtract it from the mean. So that's X subtracted by X bar. And for our data point of 66 subtracted by 23/3 would give you negative 1.667. Afterwards you take that difference. That value for X subtracted by X bar and square it. So, -1.667 squared gives you 2.778. So now you would do the same thing for all data points. Eventually what you want to do is find the sum of. All of the square differences that you calculated for each data point. When you do so, The sum of all square differences between X. An ex bar Is equal to 28.667. And recall that the sum of all X values is 92. From here, we can calculate the variance or Squared. The variance, if you recall, is equal to the sum of all the square differences. Divided by and subtracted by one. So here that's 28.667. Divided by 12, subtracted by 1. Which gives you approximately 2.61. And there you have it. So this corresponds to option D in the multiple choice being the correct answer. And so with that being said, thank you so very much for watching, and I hope you found this helpful.

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In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

d. Find the variance.

Key Concepts

Variance

Mean

Data Set

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In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).35 35 20 50 95 75 45 50 30 35 30 30d. Find the variance.