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CtfEtindon R1cTandYucete ANchJmonNath13zaCo1 spring 20z0 KuzlHomework: Section 8.4 & Mean, Median and ModeScore 0or]L orComcel8.4.19P~oNcd DATRTIA n HmrMuaPe)eO...

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CtfEtindon R1cTandYucete ANchJmonNath13zaCo1 spring 20z0 KuzlHomework: Section 8.4 & Mean, Median and ModeScore 0or]L orComcel8.4.19P~oNcd DATRTIA n HmrMuaPe)eOLa 1 Huru oCTmeieAnerul 0C WrD Ihen dck Checa tnstEpz atenin

Ctf Etindon R1c Tand Yucete ANchJmon Nath13zaCo1 spring 20z0 Kuzl Homework: Section 8.4 & Mean, Median and Mode Score 0or] L or Comcel 8.4.19 P~o Ncd DA TRTIA n HmrMua Pe)e OLa 1 Huru o CTmeie Anerul 0C WrD Ihen dck Checa tnst Epz atenin



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In $3-8,$ find the mean, the median, and the mode of each set of data.
Grades: $74,78,78,80,80,80,82,88,90$

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.

For us to find the mean, immediate vote for the given set of values. So let's go ahead and start. So the first thing I'm gonna do, just find the meat. It was all right. Hear me. So the mean is basically the average right. So find out where they're gonna add them all together and divide by how many there are. How many are there? Let's count. There are 12 and physical are actually yes, and is able to 12. It's an hour in your hand. You So some 120.1815 plus seven plus 7.6 with a prince last was 8.1, but some point man was 8.2%. 7.3 plus 9.1 plus 8.7% 0.9 all over 12. One of the eagle two moviegoing plunger categories. Approximately 7.99 Great. Uh, this is fastest around someplace. No. So we'll go around to desperate places. It's necessary for us to do is find immediate. The median is the middle value in the data set when the data set is sorted by at least two greatest. So I write that media great. So Let's take a look. Ah, Media, let's go and sort of it that the data set. What's the lowest number here? The lowest number. I'll do this part in, um in green. Well, this one is seven, some 0.0. So that's the 1st 1 to 7.0. What's our next one? It's probably some, but one that's immediately after. Some 10.1 is right here, not a nexus 0.3. 7.6, 7.9 and someone nine happened twice. We write like that. 8.18 point two a 25 apron. Calm once again. 8.7 and lastly, 9.1. Great. This is our media not to go ahead and cross each side. I'll cross 1212121 two Uh, let's see. 12 and we have our middle. Our median is eight. Quit. So now we're gonna go ahead and do is find the mode. The mode is the one that occurs the most, or them how many of the crew and most of the Thai. So in this case, if we go ahead, look at our immediate, so I would go ahead over sheep. So if we look at our meeting such pretty determine we have to that appear two times, right. We have 8.57 point nine to write that apron five comma, 7.9 and that's our answer for the mode. Suddenly three cap we feared the media are, she figured. That means some point that nine fingered the median, which is eight, and we figured the range brushes made wishing in the mode, which is 8.5 and 7.9.

So for number eight, we are going to find the mean median mode. We need to do that first by adding up the frequencies in this column. So we're gonna add up two plus eight plus 12 plus 10 plus nine plus three plus zero plus one, not total is going to be 45. So we're going to go ahead and type in a 45 here and then in order to get the other part of the mean we're gonna need to go ahead and multiply the 95 times to 90 times eight and so on here in this column. So this is a new column that you're gonna add to your list to get that accomplished. So 95 times two is 1 90 90 times eight is 7 20 85 times 12 is 1020 80 times 10 is 800 75 times nine a 6 75 70 times three is to 10 and 65 times zero is 0 60 times one is 60. So we need to add up all these numbers in our list in this column to get this big number here. So you're gonna add up 1 91 90 all the way up to that 60. And you should get 3675. So 3675 So again, in order, find the mean. We're gonna take the big number, divide his eyes. A little number so the mean is equal to the big member. 6 3075 divided by 45. And you're gonna get 81.6, repeating or approximately 81.7. In order to ah, get the median, you're gonna need to get the cumulative frequency. So the human A frequency is where you start either at the top or the bottom of your list and work your way up or down, depending where you start. So we're start with this one. Start with the two, but then I'm going to add to with the eight to get this next once or two. Plus eight is 10. Then I take 10 plus 12 and that's going to get me 22 them on. Add 22 plus 10 that's going to get me 32. 32 plus nine is going to get me 40 41 41 plus three is 44. Still gonna have a 44 and then 44 plus one is 45. So, you know, you did this correctly. If this number here at the end matches with your total here, so for the media. And I take that 45 cut it in half, and it's gonna be between 22 23. So I need to check and see where that will happen. So that ends up happening when you go from 22 to 32 that jumps down from here to here. So it happens with that 80. So our median is going to be 80. Oh, boy. Here we go. And then the mode is whichever one happens the most. And this time the mod ends up being Ah, whichever frequency was the highest, the highest frequency frequency we had was this 12. So that means 85 is going to be our mode

This question asked from the mean median mode. We know the mean is equal to the number. The sum of all the total numbers, divided by how many numbers that are so add up. Each of the numbers divide by five because there's five numbers and we got 105 Next, we know we're looking from a median, which is the number of the middle. The number in the middle is 98. There's two numbers below in two numbers above 98. Now we're looking for the mode, which is the number that occurs the most often we know 98 occurs the most often, therefore it's the mode. And then we know the the best measure of central tendency would be the median and the reason why? Because we have an outlier, which is 134.


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