Introduction to Statistics
ฝัง
- เผยแพร่เมื่อ 7 ส.ค. 2024
- This video tutorial provides a basic introduction into statistics. It explains how to find the mean, median, mode, and range of a data set. It also explains how to find the interquartile range, quartiles, percentiles as well as any outliers. It also mentions how to construct box and whisker plots, histograms, frequency tables, frequency distribution tables, dot plots, and stem and leaf plots. It also covers relative frequency and cumulative relative frequency as well as how to use it to determine the value that a corresponds to a certain percentile. Finally, this video also discusses skewness - it explains which distribution is symmetric and which is skewed to the right (positive skew) and which is skewed to the left (negative skew).
Introduction to Statistics:
• Introduction to Statis...
Descriptive Vs Inferential Statistics:
• Descriptive Statistics...
Qualitative and Quantitative Data:
• Qualitative and Quanti...
Statistic Vs Parameter:
• Statistic vs Parameter...
Scales of Measurement:
• Scales of Measurement ...
__________________________________
Mean, Median, Mode, & Range:
• Mean, Median, Mode, an...
Weighted Mean & Averages:
• How To Find The Weight...
Find Missing Value Given The Mean:
• How To Find The Missin...
Excel - Mean, Median, Mode, & Range:
• Calculating The Standa...
Arithmetic, Geometric, & Harmonic Mean:
• Arithmetic Mean, Geome...
___________________________________
Simple Frequency Tables:
• How To Make a Simple F...
Relative Frequency Distribution Table:
• How To Make a Relative...
Cumulative Relative Frequency Table:
• How To Make a Cumulati...
Dot Plots and Frequency Tables:
• Dot Plots and Frequenc...
Stem and Leaf Plots:
• Stem and Leaf Plots
____________________________________
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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.
I Wish in my school it was enough to pass the exam
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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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shouldn't the median be 23? they asked for the median of the data set, he basically rearranged the data set, making his own data set but the question asked for the original data set
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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!
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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.
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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!
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This is a wonderful introduction. Neatly done. Thank you very much. Great job
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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.
1:18 Blackboard space awareness is at top level!
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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nice, im having statistics this semester, hope u have more statistics coming
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I like to call the mode as the most popular number just a nice way to remember
by far the best TH-cam teacher l`ve came across with, but may you please kindly explain on 14:12 why we used -1.5 and +1.5 to multiply the IQR, why 1.5
is it part of the formula ?
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Can you provide all topics after the introduction related to Statistic so that I could take some notes. Thanks
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sir, if we want to check that 28 is outlier or not then what happen? is it outliner or not in case of ..
[ -4, 28 ]
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I think the visker plot is more known to be called Box Plot, Im not sure which is actually better but 2 names kinda just makes It unnecessarily more complicated, Just a thought, tnx again for this!
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Do you have a video about estimation? for large and small samples?
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When I try to calculate Q1 using R quantile() function I get 9, not 8. It looks like it includes the value of Q2 in the calculation. And this results in different value of IQR (7 instead of 8) and a different interval for outliers. What is correct way? Should we include median or not?
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Thank You SIR 😊