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Mimbecousinscollected by askingn = 11people how Above is a histogram of some data we many first cousins they have: 2,2,4,4,5,5,5,5,7,7,9 Here are the raw data: numb...

Question

Mimbecousinscollected by askingn = 11people how Above is a histogram of some data we many first cousins they have: 2,2,4,4,5,5,5,5,7,7,9 Here are the raw data: number of cousins in this sample? What is the mean

mimbe cousins collected by askingn = 11people how Above is a histogram of some data we many first cousins they have: 2,2,4,4,5,5,5,5,7,7,9 Here are the raw data: number of cousins in this sample? What is the mean



Answers

Interpreting a Histogram. Answer the questions by referring to the following Minitab-generated histogram, which represents the heights (inches) of people randomly selected from those who entered New York City's Museum of Natural History during a recent Friday morning. What is the approximate number of people with heights of 55 in. or less?

Problem. 11. We have three history grams representing around them, somebody off the same privilege. The first instagram is taken off. Assemble size of 30 the second one or 50 and the third one from Assemble off 100 Bharti off the problem. We want to use this his to Graham midpoint. Labels toe estimate the range off the population. Please know that the mid points off each instagram representatives assembled. This represents a symbol of 30 or 50 and 100 but we want to estimate the range off the population. This means we would take the minimum value in each instagram in all history grams combined. And this will be the minimum off the population. Because if this value a beard in assemble off course, it will be a beard. In a big village, for example, we can see that the minimum value off science from the first instagram the minimum. We can see that the minimum is 7.5 from the labels the minimum 7.5 50 the minimum is seven and 100 is the minimum as the minimum off 7.5 to take the minimum, we'll take seven from these values. The minimum seventh. We'll take the minimum off these three bodies because it's a beard in the second Instagram, which means it must appear in the population and we will do the same to get the maximum number in the population. We'll take the maximum off each instagram Very Graham maximum is 12, the second is 12 and third is 12.5. By taking the maximum, this means the maximum is 20 is 12.5, then the range four. The revelation is from 7 to 12.5 from the mid point off the three instagrams. For more to be, we have the distribution off the population. The distribution of the revelation is Mount Ship Symmetric Mound ship. This means it has something like that and the top off the mount between eight and 12. This means it's atten almost attend. And 99.7% of the data is between seven and 13. Almost. We have here seven and we have here 13. You want to show if assembles the three Houston grams 12 and three describes all represents this distribution. The first instagram we can see that it matches the tube at 10. Andi, it's roughly symmetry, then it's at 10. Its center is almost attend, and it's almost symmetric. This means it represents world or video. For the second Instagram. You can see that its midpoint is at 10, and it starts by seven and ends almost 12. It covers all the numbers, but it can seem that it has a little skill nous to the left. Then it describes well, because it covers the range from 7 to 12, but it has little skill. Nous in describes well, but not very well. Three. We can see that the middle is not at 10. The maximum is almost at 9.5. Then it's not at 10 perfectly, but we can consider it almost attend and it covers from seven 0.5 to 12.5. It's something good and finally, it has almost symmetric distribution. We can see that we can see that it described. It will because the variance from 10 the perfect one is for the first symbol. Because its center order, the maximum is at 10. It covers from 7.5 to 12. Almost all the population, all the values and it almost symmetric, but it has on I would like. You can see that there is another lawyer, and the most is from 8.5 12. We can canceled again. The very and it'll describes well, but with some differences between them and the mountain. And the Mount ship is to Graham off the population, and this is the final answer off.

Well explanation is that the range 40 3255 would be a class of women, and the range of 57-77 can be the class of mm. So do do this too Specific classes. There are two his programs, two Classes in the History Rooms.

So in this problem, we're just looking at the interpretation of history. Grams. Um, history grams of random data samples are often used as indicators of the shape of the underlying population distribution and the history grams on the next page are based on random samples of 30 50 and 100 from the same population. And so, for part A, we are going to use the midpoint labels of the three Instagram's. So that's just the mid points of the the bends. And what would we say about the estimated range of the population data from smallest to largest? And does the bulk of the data seem to be between eight and 12 and all three history grams, so we can see that it is like in a similar range where we have, um, in the first sample size of 30. We do have just one little outlier outside of that eight, um, and then in the sample size of 50 we do have some, uh, we can see that that distribution is starting to fill in on the tail end of the low end, and then also we're seeing that in the sample size of 100. But given that the peak of the history of the highest frequency is often falling in the middle between nine and 10 or um, right on 10, or between 10 and 11. So it is safe to say that the bulk of the data is between eight and 12 and all three instagrams Yeah, and then and be. We're told that the population distribution from which the samples were drawn as symmetric and mound shaped at the top of the mound at 10. 95% of the data between eight and 12, 99.7% of the data between 12 and 13, and were asked, how well does each hissed a gram will reflect these characteristics. And so the thing to notice here is that while all three are reflecting those characteristics with the increasing sample size, it's starting to reflect that more and more you're starting to see that cleaner shape, that clearer amount, clear symmetric distribution. And that's because the, um, random error will go down with the higher sample size and things like that. But it is fair to say they're all three. Reflect that because we can see that the top of the mound for the highest frequency number is either right on 10 or between nine and 10. So that's a fair thing to say. We can see that 95% of the data is between eight and 12. We do just have those, like, few outliers outside eight and all three. Um, but we do see that most of the data is represented well, between seven and 13. So, yes, each represents this, uh, mhm. Mhm. Yeah, Yeah, yeah, yeah. Mhm.

This question asked us to measure age versus frequency. We know ages on the X axis and frequencies on the why access. We know that the minimum is two in the maximum was 94. Therefore, we're splitting up into five intervals from 1 to 20 from 21 to 40. We then have from 41 to 60 61 to 80. And then we have from 81 to 100. Okay, now intervals. We know that on the frequency we can spread up our intervals all the way up. Told 10. So we know this would be a six four and then too. We know from 1 to 20 we have eight as our frequency. We know we don't have four data points for data points again, we then have one data point and then one data point again.


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