Find Ilie mean_ median, and mode aftne data possible The durations minules) of power failures rosicenco Ihe losllisled helow:Wlat is the median duralion? Select tn...

Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. The duration (in minutes) of power failures at a residence in the last 10 years. $$\begin{array}{lllllll} 18 & 26 & 45 & 75 & 125 & 80 & 33 \\ 40 & 44 & 49 & 89 & 80 & 96 & 125 \\ 12 & 61 & 31 & 63 & 103 & 28 \end{array}$$

So if you put that list in your calculator, so stat at it, taping all the numbers, then stack count number 11 very stats that will give you the mean, which is 600 0.29 If you scroll down, it will give you also the median 535 0.5 and just looking at the list. Or if you need to put him in order, you can find the mode with one that appears the most to be 499.

All right for this one. There are a lot of answers, and so I'm gonna try my best to go about how to do it. But if I were to do every single calculation, we'd be here for 20 minutes. So I'm not gonna do that. Um, the mean happens when you add every single number up and then divide by the number of numbers. For instance, I would add all these up and then divide by seven. Because there are seven numbers. Just happens. The mean is seven for this one. And this one, Adama in divide by five for five numbers. And so I'm gonna write the means that I have calculated beforehand who this one's a decimal 10.375 all to 10.4 toe around. Sorry that it highlights. The text is I go there, but it will look good in a bit. Adam up. Divide by the number of numbers. And these air the means if I continue that process. Okay. Now, median. On the other hand, median says, Hey, put these in order from least greatest would be like one. Ah, I'll do this one. I'll do one out for you. guys. And if it happens twice, you gotta put both numbers there, and then you find the middle of the numbers, so it would be like crossing out on each side until you find the middle number. So the median is also seven for this Again, put him in the least a greatest find the middle number. I've done that for hand. It's 95 which you can see is an actual value. Um oh, and by the way, if there's two middle numbers, you find the mean of them like you would Adam up and divide by two. So that may happen every now and then. Like for this one, Meaning is 10.5, which happens because the middle number there's two. It's 10 and 11 if you put him in order from least greatest. And if you add 10 and 11 up and divide by two, you get 10.5. All right, then this median is eight. This medium's 45 in this medians, 13 again put him in order from least a greatest find. The middle number mode modes number that comes up the most. For instance, CEO of seven comes up twice, so seven is the mean median and vote for the 1st 1 Um, this next one. You see how no number comes up more than once. That means there is no mode, so put in a or you can put none or no mode. But if every single number comes up once you could say every numbers the mode, I think it's a much more accurate to say that there is no mode exact. Same thing happens for C. In fact, let's just get the ones out of the way where that happens. You see how all these numbers are different? It happens for E is well, all right. There is a mode for this one. It's 10 because it comes up twice and there is a mode for this one. It's 11 which comes up twice. Okay, now range Ranger, take the highest number and subtract the lowest number. So this one, I will calculate out for every single one So arranges 12 minus one because the house is 12. The lotions one, that's 11. This the highest number is 115. The lowest number is 85. And if you subtract those rangers 30 uh, the highest number is 16. The lowest number is three and 60 ministries 13 Highest number. Here's 10 most numbers. Five. Subtract those we get five. Last number is 75. Louis number is 35. Track those. We get 40. Last woman, highest number 16 and lowest number is nine. Subtract those and we get seven There it ISS all the means medians, modes and ranges.

Yeah. The question keeps us for our six numbers in these six members and their we can rank age frown smote big. So this morning, is there three or four with the big ears in the 398? So we can't find the media? Remember, it is 30 309 And there there is No, uh, no. Two number is the same, so they don't have mold. So mote don't have Andi to mean we can't add it and then divide over five so you can use your hyper targeted this to calculate it is no three old four ply three or seven plus three old night grass for you. 100 and 20 street last 3 19 Well, 398 is equal to to suddenly go 32 You want 31 over a five Didn't coach you 300 06 point you. So we

Okay, so we have a following data set. Let's find the mean for these numbers. So we're finding the mean we're gonna add all the numbers together. That gives us the sum for the data set. We want to find us some divided by how many numbers there are to give us the mean. The sum here is going to be 53.2 and there are eight numbers altogether in our data set. So that means that are mean is going to be 6.7. We'll circle that and 6.7 is rounded to the tens place. Now, let's find the media. Keep in mind the median is the middle. Just like when you're going down the street. Sometimes it has the grassy walkway in the middle. That would be your media. It's in the middle. We're gonna need to rearrange these numbers in order to find which one is in the middle. So I'm gonna rearrange these right above the numbers would have 6.1 1st then 6.4 6.4 again. 6.5, 6.5, 6.6, 6.7 and 6.8. No, that's 8.0, okay. This is a decimal. Now, when we look for the middle number and we have an even number of numbers like we do here, we're going to go to basically just two numbers in the middle. So that would be our fourth and fifth number thes two numbers here. Well, lucky for us there the same. If they were not the same, we need to add them together and divide by two. But as it is, we know that our median is 6.5. Now to find the mode. The mode is the number that occurs the most. So we associate the word mode with most, and we can see that. Wow, we've got to Moz 6.4 and 6.5. So for this question, we have 6.4 and 6.5 as our modes