Introduction to Statistics 

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0:00 Mean = Sum/N, The Total of The Numbers Added up/How many numbers you are working with. 1:47 Median = Middle Number. 2:20 Mode = The Most Frequent number to appear in the set of numbers. 6:40 Range = Highest/Maximum Number subtracted by the Lowest/Minimum Number. 7:45 Quartiles = 25%, 50%, 75%, 100%; the 4 quarters.

By only watching the intro once, I could replicate this the whole thing on my own. Considering I am an average dude, I find it amazing, and the only explanation -you are a remarkable teacher.

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🎯 Key Takeaways for quick navigation: 00:43 📊 *Mean is calculated by summing the numbers and dividing by the count. In this example, mean is approximately 15.43.* 01:52 📏 *Median is the middle number of a dataset. Eliminate the first and last numbers, then move towards the middle. In this case, median is 14.* 02:32 📊 *Mode is the most frequently occurring number. In this case, mode is 7 as it appears twice.* 02:50 📏 *Range is the difference between the highest and lowest numbers. In this example, range is 25 (32 - 7).* 04:13 📊 *For a new dataset, mean is calculated similarly. In this case, mean is 32.25.* 05:34 📏 *When finding the median for an even dataset, average the two middle numbers. Here, median is 29 for the second dataset.* 06:22 📊 *In a bimodal dataset, there are two modes. Example: 15 and 59 are both modes.* 08:44 📏 *Quartiles (Q1, Q2, Q3) split a dataset into four parts. Q2 is the median, while Q1 and Q3 are medians of the lower and upper halves.* 09:29 📊 *Interquartile range (IQR) is the difference between Q3 and Q1. Useful for identifying outliers.* 14:54 📏 *Identify outliers by checking if a number is outside the range (Q1 - 1.5 * IQR to Q3 + 1.5 * IQR).* 19:32 📏 *Construct a box and whisker plot using Q1, Q2, Q3, minimum, maximum, and outliers if any.* 22:26 📊 *Determine if a point is an outlier based on its position relative to Q1, Q3, and 1.5 times the IQR.* 26:54 📏 *Skewness to the right (positive skew) has a longer tail on the right. Mean is greater than median.* 30:04 📏 *Skewness to the left (negative skew) has a longer tail on the left. Mean is less than median.* 31:40 📊 *Dot plots visually represent the distribution of data points in a dataset.* 32:23 📊 *To construct a dot plot, create a number line and place dots above corresponding numbers in the dataset.* 33:29 📈 *The mode in a dot plot is the number with the most dots; in this case, the mode is 3.* 34:18 🌱 *To make a stem-and-leaf plot, organize the data with stems (left) and leaves (right), representing each number.* 38:51 📊 *A frequency table shows the occurrence of each number in a dataset.* 41:49 🧮 *Calculate the mean using a frequency table by summing (value * frequency) and dividing by the total number of data points.* 42:20 📊 *Histograms visualize data distribution, with connected bars; different from bar graphs.* 45:55 📊 *Create a histogram by categorizing data into classes and representing frequencies in each class with connected bars.* 50:52 📊 *A cumulative relative frequency table helps find percentiles; 60th percentile is the average of 5 and 6 (5.5).* 52:14 📊 *To find the 80th percentile, average the values where the cumulative relative frequency crosses 0.80 (7.5).* 52:43 📊 *If a percentile falls between two values, average those two values to determine the corresponding data point.* Made with HARPA AI

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Determining the outliers through this interval which is a function of the IQR makes all senses, but the choice of the factor 1.5(IQR) as the tolerance range beyond Q1 and Q3 needs some logical justification. The underlying concept is though clear, which is setting the borderline within the distribution beyond which any score from the data set is to be characterized as an outlier. Thanks for great work and concise steps!

Always the best content to learn in every subject. Thank you for your videos!

So glad I subscribed to the membership. This cleared up a lot of confusion. I have 3 weeks left of my stats class, and I really need to make sure I pass.

Thanks for this video. I love your calm style of teaching!!

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I learned so much in this video it helped me review and relearn the lessons I forgot for my entrance exams. The best one hour that I have spent learning thank you so much!❤❤

This is one of the most useful videos on RU-vid. Thank you for making these! You also sound like Mark Walburg so it makes it even more fun haha!

This is the best Lecturer on statistics i have had in a life time

Wonderfully done lesson. I clicked for a general refresher, which this does well. But I wish I had this video when I originally started my stats class in high school. My teacher was TERRIBLE, both at teaching AND at statistics. Two other students and I were constantly correcting her on rather basic mistakes. Halfway through the school year, she left for a month because she was taking an intro to statistics crash course 😑...she had no business teaching an AP Stats class. But the AP calculus teacher was already spread to thin to do it. He taught pre-cal calculus and intro to number theory so he couldn't. He was the best teacher I ever had. If I had these quality videos back then, I wouldn't have grown to have a grudge against statistics. Luckily, I had an amazing professor in college who fixed that. But my intro to it was rocky at best. Keep up the great work dude!!!

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I'm 28, I love Math but I never understood it during my school days which made me believe I'm not really good at Math and not smart enough for it. But I'm giving it a try again at my age, I want to be good at it, thanks for your videos!

This is a wonderful introduction. Neatly done. Thank you very much. Great job

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thanks. taking a stat course next semester and this is really helpful

thank you for doing these videos it helped me ALOT with my algebra Eoc!

Thank so much for the video it has helped alot ,I was not keen to watch it at first as it was very long but it was worth watching🙏

This is the first Statistics Course I have taken and Completed this course Thank U man You are a Great Teacher.. make something Data Science or Data Analytics specially ... Great Content thank U Man God Bless U ..Amen..

Bro just says 'solve this' but proceeds to solve it for us so we can learn. Goated🗣️🔥🔥🔥🗿

missed tons of my stat lectures. even tho this vid's content is far from my material, felt quite glad after watching it

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You are amazing… your videos are the greatest source of knowledge…it will be really good if you can give bit theoretical knowledge before solving questions,,,like what is basic difference between bar graph and histogram etc But honestly …thank you from core of my heart

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This video will not go viral but it will help more generation to be successful in their career. What i mean Is thank-you for making this video.

Thanks for your videos I understand Statistics better.

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Hey, just wanted to give you my feedback, i've been revising for my stats exam using your videos, and they've helped since i was really poor at the subject, sat for the exam today,and i hope i'll pass. Just wanted to say thank you

1:18 Blackboard space awareness is at top level!

Watching this on night just few hrs b4 my math mock exam

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you're been a great help, all my professor does in class is talk about his wife its actually crazy

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Bro your teaching style way more better and effective than my teacher.

Thankyou so much . Because you taught Statistics so well. I am thinking of taking Stats as a main subject in my career . I am aspiring data scientists . And i have recently completed my graduation . I want to thankyou for teaching me so well .

Sir thank you! thank you for taking the time to make these videos. Im addicted to them! I have a teacher who is very good at his job but because math is not my cup of tea I do not do well on keeping up with his way of teaching, but you keep things so simple and clear and I just understand it better after watching your videos! As well as I love your voice :) Thank you once again

I am a Nigerian student who came into Canada for my MBA and one of the course I studied last semester was quantitative analysis As a lawyer with no math background I want to thank you because your channel was handy Finished with a B

Mean(X_) median(M) mode range quartile inter-quartile range(IQR), outlier, box and whisker plot, skewer (right/positive/X_>M left/negative/X_

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This video is very helpful for beginner. From Jahangirnagar University, Bangladesh.

sir your teaching is excellent, method is very easy to understand, i request please add examples, why people need mean in their daily lives, why and where. along with that in writting research papers where it can be used, and how to interpret the statistics data and results. thank you.

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PRAISING THE LORD- that I have come across your page - I am currently in college being that I have not been in school since 2012. anywho I'm currently taking a statistics class and this help to inform me on what exactly I'm walking into .

Great series

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nice, im having statistics this semester, hope u have more statistics coming

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When he earns the desired out of a premium video then he makes sure to post that to the general audience. Based on my guess.

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I took statistics in college. I think for anyone who doesn’t have the money this is good, but you could simplify it. Also, it’s good to have cartoons 👍 Remember, even with an hour, you have to try and keep it interesting. Statistics is all about what you are analyzing, and I think it might be better to first come up with the situation or the issue, and then break it down after you have an overview

Thank you very much !

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Thank you.

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Can you provide all topics after the introduction related to Statistic so that I could take some notes. Thanks

Thank you so much

My life will never be the same I have learnt

very helpful, made 6 weeks of confusion disappear

preparing myself for elementary stats by refreshing my memory with this video lol

But still it helped me allot tnks. Great meaningful video.

I love that previous video you said, Negative b plus or minus the square root of b squared minus 4 ac divided by 2a 😂

Thank you sir!