150 as a decimal This is a topic that many people are looking for. bluevelvetrestaurant.com is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, bluevelvetrestaurant.com would like to introduce to you Histogram with Class Boundaries Example #2 (Hard) – BMCC (CUNY) MAT150/MAT150.5. Following along are instructions in the video below:
“To aftermath calm today s video. We re going to be doing a histogram. So so here. We re going to be using six classes to create a histogram for data.
This data is also continuous data. It s not regular data usually we had to scrutinise while making histograms in this case. We have decimal values arnab data is actually the duration in minutes of the eruption z of her of the earthquakes right so here. These numbers correspond to our last video that dealt with the eruption time in minutes.
And these are the corresponding direction of those eruptions. So what we re going to do first to do this. Again is we re going to identify the class width. So that we can create our limits for each class message.
We have six classes. We re going to be dividing our range with six for the class width right so our class width. It s going to take the range which is the high the low and we re gonna divide that by the number of classes that we desire here the number of classes desired in this case of six. Because the question tells us that s why it s the war on the line.
So let s find the range here so our highest value on this table appears to be four point eight seven zero. So let s start with that in the highest four point seven the low is we know that we have 183. The only one with the one so we re going to subtract. These super arrange we have a four point.
Seven the 183. And of the by this by the number of classes. Which have six and now the subtraction of four point seven zero minus four point eighty 387. Make sure you use the calculator for these calculations.
And we re dividing that number by six again. I m going to abbreviate the class with with just cw cw. Here in this case is two point eighty seven divided by six which gives a submersible number. Which is going to be point four seven eight and the threes just begin repeating here in this case.
I ll be very careful when you re making your class. With because again as i said me enough decimals here so just imagine these were all numbers. So we re going to move the decimal two places over to imagine where we re gonna run them. If i see that that s one here rounded up two places and i see i have forty seven point eight.
So i m gonna use this eight to round up that seven which is going to give us the number 048..
Now. It s practical to do this again. Because we have to identify our class. By rounding up to the next digit of what we have here so in this case.
The difference of the two divided by 6 gives us this since we have this to the hundredths position. We re going to round this number to the hundredths position as well all right now that we have our class width. If we re going to begin our class limits and again our class limits goes from the smallest number until we find the class that can fit the largest number but in this case. We re just going to make six classes from the base number which is 183.
So here we have our class limits again the class limits with the number 183. Now when we add the class width to this number right. We want to add that number going downwards all right so we re at a number point 48. So every one of these numbers the next.
Number we re gonna have one we had 48 is. 231 ids are point 48 to this we get 279. We continue come on. Downwards we ll see that we get three.
Points 27 after we had. 048 to this number we. Benefit 375. And for the last class first lower.
Limit we re going to add another. 048 and that s when the chemists 423. I m gonna be careful when you add in this because remember the class width has to have the value of 048. Going horizontally and vertically you just add in that class with going downwards.
So we re going to just go back one position in the hundredths place of this one place it up. Here so. Even though the. Difference between these two members.
Is actually 047. From 183 to. 230 encompasses a class width of 048. And again.
We re going to add these same numbers going downward..
So the next number. Here it s going to be 278 when we add. 048 and we continue to add the 048. Going downwards to this column make sure you re using the calculator when doing it right.
This week it was. 326 adding 048. To this gives us three points 70 for the following time when we add 048. To this is going to give us 4 point.
22 and for the last class here when we had to report. 48. That s going to be an even number. It s going to give us exactly four point seven zero and in this case.
We see that the highest number falls in the highest class here the sixth one then the lowest number falls on the first class our class limits are perfect alright for the next column. We re going to do mixes. We re going to create the class boundaries. Because when we re making a histogram.
We need to have boundaries and frequency. So here for our boundaries since we have numbers that are rounded to the nearest hundredth. We re going to use the nearest thousandth that we re going to subtract. 0005 thousandths or 5 negative.
5 thousandths to the left limit we re going to subtract that and we re going to add 5 thousandths to the right and so now what we re doing then is just subtracting this from this and this is going to become one point eight two five on the right hand side. We just add the five to the last digit here. So it s going to be negative. It s going to be two point three zero five.
The right side is always easier to make than the left. So i m just going to go ahead and insert all those limits on the right side. Boundary so this. Number i just add two 2785 you have 32 65.
I take this number and just add the five at the end same goes for the 422 and also for seven as far as the left. Goes remember the previous entry was on the. Next. Lines mr goes to 0375 this one.
Down here. 27. 85 this one goes. Down here.
32. A 65 again the same goes for this one 37 45 and subtracting. The negative. 005 from this number again we got 422.
Now once we have our boundaries in place. We can go ahead and create the frequencies for each class right do the frequencies again we re going to go coming off the numbers from left to right so here we have and in the previous video. I instructed you guys how to count going downwards per columns instead of coming across rows. It s more confusing when you see more numbers than your peripherals better when you see less going downward.
So for the first class we re going to have a frequency of. 3 so we have 183 223. Would just go in here you count them off like 1 1. 18.
3. That s 1 the second number that falls in this width is 2. Points they re. Reserved i finally 212.
If you do this correctly for every class. You look at the numbers 1 0. 3. Five and seven.
Now. This is the completed frequency distribution with class boundaries of the duration and minutes of the eruptions alright. So now let s make our histogram alright. So make our histogram.
We re going to do the same thing as we did before we re going to have the frequency on the left side going upwards and we re going to have our duration in minutes. So here. We ll have marcus the grand place. We re going to need a little bit more space.
Because these class boundaries that were at dealing with we re gonna have a three digit zone..
All right so our frequencies will go from the smallest to the highest plus. One so here we start at zero. We re gonna go up to eight just to make sure it covers on the ground. You know halfway through rate is four halfway from for native six halfway between them is seven and five that boys was three or four and zero is two and we have woman here we have three going left to right we have to have all these boundaries in place.
So what we do is we just take one whole column and the last number over or we take the first number and we take the next column next to it so let s start with one point. Eight twenty. Five the next point being two point three. Oh five next.
Point 27. 85. Following. Point is going to be three point.
265 the following one is three point seven forty five the following is 425. And finally the final point is four point seven server father. We don t have anything else after this year. So we could just wake this down and now we re just going to go insert in the frequency.
Bars for each one first frequency has a level of 30. We re just going to insert the thread here and box that in it s the class width right with go from this to this with the boundaries. The father one we have is one. But the one here this is our three.
I ll just write the numbers inside of them you don t have to do this component. I m just writing the numbers in so that you can see it a little clearer right the following one is zero. So we re not going to put anything for this interval that we have to point 785 to 32. 65.
But just leave that one blank. The following one has a frequency of 3. So we ll go up to 3 unbox. This one next one has a frequency of 5.
If you want to do this extra neat you can also use a ruler and finally one has to seven years. We re just going to go to seventh ecstatic. So this has the three the sets of five this one has a son all ” ..
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