https://www.khanacademy.org/computing/intro-to-python-fundamentals/x5279a44ae0ab15d6:computational-thinking-with-variables/x5279a44ae0ab15d6:program-execution/a/data-types 2026-02-17T23:20:43.373798125Z Data types Recognize the primitive data types that make up all programs: integers, floats, strings, and booleans. article https://www.khanacademy.org/computing/intro-to-python-fundamentals/x5279a44ae0ab15d6:computational-thinking-with-variables/x5279a44ae0ab15d6:reference-docs-variables/a/docs-python-basics 2024-06-26T17:36:20.61941996Z Docs: data types, operators, and variables Review the syntax for basic Python expressions, variables, and built-in functions. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/v/comparing-dot-plots-histograms-and-box-plots 2023-09-21T21:49:35.177342261Z Comparing dot plots, histograms, and box plots Data can be represented in various ways such as dot plots, histograms, and box plots. Dot plots and box plots are useful for finding the median, while histograms are great for showing the number of values within a specific range. video https://cdn.kastatic.org/googleusercontent/KMlBImUZtjuyYvIhopzsSvMVIfzYMUiqzzmBFB7OQXIR1Jl1CetgRF2tpdYJA4835bKgjriD6SmUtL1tnZZAHczz Comparing dot plots, histograms, and box plots Data can be represented in various ways such as dot plots, histograms, and box plots. Dot plots and box plots are useful for finding the median, while histograms are great for showing the number of values within a specific range. https://cdn.kastatic.org/ka-youtube-converted/s_w3EJ2Jzw0.mp4/s_w3EJ2Jzw0.mp4 326 Statistical variables https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/xfb5d8e68:language-variation-variables/v/identifying-individuals-variables-and-categorical-variables-in-a-data-set 2024-05-31T20:09:46.930811028Z Identifying individuals, variables and categorical variables in a data set The concept of variables in data sets comes to life through an exploration of categorical and quantitative variables. Using nutritional data from a coffee shop as an example, the lesson highlights how variables can represent diverse aspects of a data set, such as drink type, calorie count, sugar content, and caffeine amount. video https://cdn.kastatic.org/googleusercontent/VoX1L5bEmGHX80BSI4lPLdERhFNGOhWwWM6N31m_DmMCQs0hxYYvHAS9XNbq2Rx2UWjx0_Ngj4HMQgbWYlWzU6A Identifying individuals, variables and categorical variables in a data set The concept of variables in data sets comes to life through an exploration of categorical and quantitative variables. Using nutritional data from a coffee shop as an example, the lesson highlights how variables can represent diverse aspects of a data set, such as drink type, calorie count, sugar content, and caffeine amount. https://cdn.kastatic.org/ka-youtube-converted/EqeVXI4WNHM.mp4/EqeVXI4WNHM.mp4 160 Statistical variables https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/xfb5d8e68:language-variation-variables/e/individuals-variables-categorical-quantitative-data 2021-07-03T00:17:02Z Individuals, variables, and categorical & quantitative data Practice identifying components of a data set: individuals, variables, categorical data, quantitative data. Jeff Dodds exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/e/comparing-data-displays 2026-03-26T05:20:35.16058035Z Comparing data displays Practice interpreting and comparing dot plots, histograms, and box plots. Jeff exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/statistics-intro-mean-median-and-mode 2021-07-02T09:35:33Z Statistics intro: Mean, median, & mode The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. Sal Khan video https://cdn.kastatic.org/googleusercontent/CCE1P6AZCPMYb0O7ETz8QOfZprfRYDEJ6SzhUngxHNsFrM6XOvqMRjghbAf1r4TiUcKH7HiPbXA8jlxRUDeTW2_V Statistics intro: Mean, median, & mode The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. https://cdn.kastatic.org/ka-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.mp4 534 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode 2021-07-02T09:35:33Z Mean, median, & mode example Here we give you a set of numbers and then ask you to find the mean, median, and mode. It's your first opportunity to practice with us! Sal Khan video https://cdn.kastatic.org/googleusercontent/XO41bx61VCaBIqGEW5twdbSuuSR_FvZOslArqu3JarSQbHbBgquWeq_EsBGPvqRW4c9a0BPVLY-LxMIwZUaZSAEb Mean, median, & mode example Here we give you a set of numbers and then ask you to find the mean, median, and mode. It's your first opportunity to practice with us! https://cdn.kastatic.org/ka-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.mp4 235 Statistical variables https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:patterns-arithmetic-and-geometric-sequence-and-series/x24dc5a0902f75de5:measures-of-central-tendency-and-variability/e/median-of-grouped-data 2025-12-30T07:05:15.972746521Z Median of grouped data Let's try to practice finding median of grouped data. ashish exercise https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:patterns-arithmetic-and-geometric-sequence-and-series/x24dc5a0902f75de5:measures-of-central-tendency-and-variability/e/mode-of-grouped-data 2025-12-30T07:05:15.972746521Z Mode of grouped data Let's practice finding the mode of a grouped data. ashish exercise https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/mean-median-basics/a/mean-median-and-mode-review 2021-04-29T08:02:54Z Mean, median, and mode review article https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/mean-median-basics/e/mean_median_and_mode 2025-03-01T15:52:37.13987578Z Mean, median, and mode Calculate the mean, median, or mode of a data set! Omar Rizwan exercise https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/v/range-variance-and-standard-deviation-as-measures-of-dispersion 2022-11-16T04:22:43.7414897Z Measures of spread: range, variance & standard deviation Range, variance, and standard deviation all measure the spread or variability of a data set in different ways. The range is easy to calculate—it's the difference between the largest and smallest data points in a set. Standard deviation is the square root of the variance. Standard deviation is a measure of how spread out the data is from its mean. Sal Khan video https://cdn.kastatic.org/googleusercontent/F7u5R7KncKAiNkwZK0i3DTxYrCpwFG1YuVhgwHtYHWUsRNB9rlgxRnkqR4onfr1ex44Yc9FmnodarnP_ZcWwhCg Measures of spread: range, variance & standard deviation Range, variance, and standard deviation all measure the spread or variability of a data set in different ways. The range is easy to calculate—it's the difference between the largest and smallest data points in a set. Standard deviation is the square root of the variance. Standard deviation is a measure of how spread out the data is from its mean. https://cdn.kastatic.org/ka-youtube-converted/E4HAYd0QnRc.mp4/E4HAYd0QnRc.mp4 754 Statistical variables https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/v/sample-variance 2024-01-19T18:34:27.70568811Z Sample variance We delve into measuring variability in quantitative data, focusing on calculating sample variance and population variance. The importance of using a sample size minus one (n-1) for a more accurate estimate is highlighted. The distinction between sample mean and population mean is also clarified. Sal Khan video https://cdn.kastatic.org/googleusercontent/ovbflWyVJWPSU5OpM1Gy72CSUBwfhLsja194Vc3LcFlz79-EvWHayP0Z68LkWdbiyaXgQ23eTj1qUtP1TgcIYafi Sample variance We delve into measuring variability in quantitative data, focusing on calculating sample variance and population variance. The importance of using a sample size minus one (n-1) for a more accurate estimate is highlighted. The distinction between sample mean and population mean is also clarified. https://cdn.kastatic.org/ka-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.mp4 638 Statistical variables https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/v/sample-standard-deviation-and-bias 2021-07-01T17:39:49Z Sample standard deviation and bias Sal shows an example of calculating standard deviation and bias. Sal Khan video https://cdn.kastatic.org/googleusercontent/vMLDdSrGOUFmBkMXPZpxFVEmxBqn0ImXjUYJO1L-LCCob1WZtBM65vnfgdWm0NWFwfDTmDQFUP7YHr9tvEDdsss Sample standard deviation and bias Sal shows an example of calculating standard deviation and bias. https://cdn.kastatic.org/ka-youtube-converted/DNAnQBhGpRw.mp4/DNAnQBhGpRw.mp4 573 Statistical variables https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/other-measures-of-spread/v/range-and-mid-range 2022-11-16T04:22:43.7414897Z Range and mid-range The range is the difference between the largest and smallest data points in a set of numerical data. The midrange is the average of the largest and smallest data points. Range is an easy to calculate measure of variability, while midrange is an easy to calculate measure of central tendency. Sal Khan video https://cdn.kastatic.org/googleusercontent/fJkZkNqaFkr4SCsubt3hAv2a9-8kka6MCz0jeT8m-mzqHo6TPPTZ6CRK1E9tvf1JfB5LII5wOfHY58HHkrfW8M4 Range and mid-range The range is the difference between the largest and smallest data points in a set of numerical data. The midrange is the average of the largest and smallest data points. Range is an easy to calculate measure of variability, while midrange is an easy to calculate measure of central tendency. https://cdn.kastatic.org/ka-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.mp4 123 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr 2021-07-01T17:39:49Z Interquartile range (IQR) The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.   video https://cdn.kastatic.org/googleusercontent/1dM5VIaSdqW2AZdzrYN2VRde7taL_-C1sVBNWw9IfSKnaQ8X-qKdR4G3AE5vC4MVwnjsfZQuQ6cTnshyZdvRon0ZlA Interquartile range (IQR) The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.   https://cdn.kastatic.org/ka-youtube-converted/qLYYHWYr8xI.mp4/qLYYHWYr8xI.mp4 372 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/e/calculating-the-interquartile-range--iqr- 2026-03-31T08:52:19.062243676Z Interquartile range (IQR) Practice finding the interquartile range (IQR) of a data set. Ben S exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/a/interquartile-range-review 2024-06-28T19:35:09.634529642Z Interquartile range review Calculate interquartile range from small data sets with even or odd numbers of data points. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation 2021-06-28T22:10:44Z Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are. video https://cdn.kastatic.org/googleusercontent/Oratxu6gscuquGwoMyuDlOPqg5bQmTT_4_9zkhnlmjE1umgQ5oyLBqRqcSXAhlW-OhBt1YhuOWXscL4z8EDFX0Bg Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are. https://cdn.kastatic.org/ka-youtube-converted/GdIkEngwGNU.mp4/GdIkEngwGNU.mp4 550 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example 2023-09-21T21:49:35.177342261Z Mean absolute deviation example This lesson teaches how to calculate the mean and mean absolute deviation (MAD) using a bar graph. The graph shows the number of bubbles blown by four people. The mean is found by adding all the values and dividing by the number of data points. The MAD is calculated by finding the average of the absolute differences from the mean. video https://cdn.kastatic.org/googleusercontent/PGSQrj24qymmwdkCkzWuG4U-XlOxBF96Bcceq_wlPxgoxV0XyKIfU8xZ3u0OJ5JjXHmd9RQsbti-eMNU8RPfn-4H Mean absolute deviation example This lesson teaches how to calculate the mean and mean absolute deviation (MAD) using a bar graph. The graph shows the number of bubbles blown by four people. The mean is found by adding all the values and dividing by the number of data points. The MAD is calculated by finding the average of the absolute differences from the mean. https://cdn.kastatic.org/ka-youtube-converted/DPuK6ZgBGmE.mp4/DPuK6ZgBGmE.mp4 382 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad- 2025-05-22T15:13:46.85517145Z Mean absolute deviation (MAD) Practice finding the mean absolute deviation (MAD) of a data set. Ben S exercise https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/other-measures-of-spread/a/mean-absolute-deviation-mad-review 2021-04-29T08:02:54Z Mean absolute deviation (MAD) review article https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/a/introduction-to-standard-deviation 2023-02-22T03:54:13.328982673Z The idea of spread and standard deviation See how distributions that are more spread out have a greater standard deviation. article https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/e/standard_deviation_of_a_population 2025-03-01T15:52:37.13987578Z Standard deviation of a population Calculate the standard deviation of a population. exercise https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/e/sample-standard-deviation 2021-07-01T17:39:45Z Sample standard deviation Practice calculating sample standard deviation Jeff Dodds exercise https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-center-quantitative/e/mean-median-displays 2024-10-14T00:18:42.866308547Z Calculating mean and median from data displays Given a data display, calculate the mean or median. Jeff Dodds exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/e/calculating-the-mean-from-various-data-displays 2023-09-21T21:49:35.177342261Z Calculating the mean: data displays Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots. Ben S. exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/e/calculating-the-mean 2025-03-01T15:52:37.13987578Z Calculating the mean Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data. Ben S exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/e/calculating-the-median 2026-04-08T00:54:09.631945657Z Calculating the median Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data. Ben S exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/e/calculating-the-median-from-data-displays 2025-10-14T20:00:52.546544658Z Calculating the median: data displays Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots. Ben S exercise https://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/percentiles-cumulative-relative-frequency/e/calculating-percentiles 2021-07-29T14:00:50.153398958Z Calculate percentiles Practice working with percentiles. Jeff Dodds exercise https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/a/calculating-standard-deviation-step-by-step 2021-07-03T00:16:52Z Calculating standard deviation step by step article https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/one-categorical-variable/v/reading-bar-charts-3 2021-07-02T09:35:30Z Reading bar charts: putting it together with central tendency Let's combine some learning! Here we looking at bar charts and using the information to determine the measures of central tendency. Sal Khan video https://cdn.kastatic.org/googleusercontent/_t_NwT0OUGxuCApzKye2WqWiuDJcwLp78S6urLqGfjOTqO7VTTQ7NYznWCuiZ4Rko7W2Lnj9oCHsbMMX-pY3I1Ot Reading bar charts: putting it together with central tendency Let's combine some learning! Here we looking at bar charts and using the information to determine the measures of central tendency. https://cdn.kastatic.org/ka-youtube-converted/DGZNaKnbQo0.mp4/DGZNaKnbQo0.mp4 281 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/median-and-range-puzzle 2023-11-15T22:05:30.45543254Z Median & range puzzlers In a car dealership with 11 salespeople, the median number of cars sold is six, and the range of cars sold is four. This means the difference between the highest and lowest number of cars sold is four. Therefore, it's impossible for any salesperson to have sold more than 10 cars. video https://cdn.kastatic.org/googleusercontent/iIWqj8kxH8qK0tnYNtHBhbErZcdadyCTd35vXN9ccpW2YIBBbybMMnwoRWi-BxxAtbWtVLIYMKXT4Kc58WdpZXA Median & range puzzlers In a car dealership with 11 salespeople, the median number of cars sold is six, and the range of cars sold is four. This means the difference between the highest and lowest number of cars sold is four. Therefore, it's impossible for any salesperson to have sold more than 10 cars. https://cdn.kastatic.org/ka-youtube-converted/0cHCpgQD_8k.mp4/0cHCpgQD_8k.mp4 415 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/using-mean-to-find-missing-value 2023-09-21T21:49:35.177342261Z Missing value given the mean When babysitting, you forget one child's age from your records. But, you remember the mean age of the six children is four. Using this mean, you can find the missing age. The total of all ages equals the mean times the number of children. So, you solve for the missing age and find it's three. video https://cdn.kastatic.org/googleusercontent/49dP0cqpED8vPd2WUomagS1HQJ6MK96VR8TzGURS9NnWoN0IqAspaVajKyL9BgPb0vwsOxDfjbBaO9_ikUPyV2qL Missing value given the mean When babysitting, you forget one child's age from your records. But, you remember the mean age of the six children is four. Using this mean, you can find the missing age. The total of all ages equals the mean times the number of children. So, you solve for the missing age and find it's three. https://cdn.kastatic.org/ka-youtube-converted/qpbaglogObM.mp4/qpbaglogObM.mp4 303 Statistical variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/reading-box-and-whisker-plots 2021-07-01T17:39:48Z Reading box plots Is this some kind of cute cat video? No! Box and whisker plots seek to explain data by showing a spread of all the data points in a sample. The "whiskers" are the two opposite ends of the data. This video is more fun than a handful of catnip. Sal Khan video https://cdn.kastatic.org/googleusercontent/oPDq_CzQ1q1ltt-ZXkeu34Y3FJrqzdC7eeS09kMmyr8_w3g0N2DamgOeAKPvcIRtI5RguTkQbE-CtijeI76V4siF Reading box plots Is this some kind of cute cat video? No! Box and whisker plots seek to explain data by showing a spread of all the data points in a sample. The "whiskers" are the two opposite ends of the data. This video is more fun than a handful of catnip. https://cdn.kastatic.org/ka-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.mp4 198 Statistical variables