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 Measures of variability 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/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 Measures of variability 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 Measures of variability 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-spread-quantitative/v/visual-standard-deviation 2022-10-07T02:10:10.749739204Z Visually assessing standard deviation Worked examples visually assessing the standard distribution. video https://cdn.kastatic.org/googleusercontent/EZC1wRVUriltBejUN7S6HNk78dVLcUA4ulr6-dKj81gRwz8bvmVeFEqLz6abq5dnt5miak0yD7wSeRWV45KL4xc3 Visually assessing standard deviation Worked examples visually assessing the standard distribution. https://cdn.kastatic.org/ka-youtube-converted/-iCMQoCJFBY.mp4/-iCMQoCJFBY.mp4 229 Measures of variability https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/e/visual-standard-deviation 2026-04-07T23:55:07.30621384Z Visually assess standard deviation Practice estimating standard deviation from data displays and comparing the standard deviations between sets of data. Jeff Dodds exercise 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 Measures of variability 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 Measures of variability 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