https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/box-and-whisker-plot-exercise-example 2023-11-15T22:05:30.45543254Z Worked example: Creating a box plot (odd number of data points) A box-and-whisker plot is a handy tool for visualizing data. By ordering numbers, we can find the range, median, and quartiles. Practice makes perfect when mastering these concepts! video https://cdn.kastatic.org/googleusercontent/yz1yMzI26nuxde_-_6KLGjouMcKA43GUdUFGGiTi70QOAWrJBvf8ZtyEvu-Vl9i_bvODo6FhyRwmOmVutkyqlcOP2g Worked example: Creating a box plot (odd number of data points) A box-and-whisker plot is a handy tool for visualizing data. By ordering numbers, we can find the range, median, and quartiles. Practice makes perfect when mastering these concepts! https://cdn.kastatic.org/ka-youtube-converted/m6xURMj2ztk.mp4/m6xURMj2ztk.mp4 198 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/another-example-constructing-box-plot 2023-11-15T22:05:30.45543254Z Worked example: Creating a box plot (even number of data points) Box-and-whiskers plots help visualize data ranges and medians. First, arrange your numbers from least to greatest. The smallest and largest numbers form the 'whiskers'. The median of the entire data set splits the 'box' in the middle. The medians of the top and bottom halves of the numbers form the 'box' boundaries. video https://cdn.kastatic.org/googleusercontent/X-h87DXrirQh4FOfSDTZ7VK6-nO55gGFF72GZYaMFMxS6bO9ThH7li5QK0yhCF1d9v41lp8a2sXQFDFdw3s2JY3y4w Worked example: Creating a box plot (even number of data points) Box-and-whiskers plots help visualize data ranges and medians. First, arrange your numbers from least to greatest. The smallest and largest numbers form the 'whiskers'. The median of the entire data set splits the 'box' in the middle. The medians of the top and bottom halves of the numbers form the 'box' boundaries. https://cdn.kastatic.org/ka-youtube-converted/oajrmwCALmc.mp4/oajrmwCALmc.mp4 195 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/constructing-a-box-and-whisker-plot 2022-07-28T09:36:48.454963052Z Constructing a box plot Here's a word problem that's perfectly suited for a box and whiskers plot to help analyze data. Let's construct one together, shall we?. Sal Khan video https://cdn.kastatic.org/googleusercontent/gNA9vDzSKVt71p82exmFb-Q7muhYeFiGIquyQr3WJjQp-jwyq9IZQCedWvG7ORNT3xHNu1YwU72QIi2Jfpm8wi1N0g Constructing a box plot Here's a word problem that's perfectly suited for a box and whiskers plot to help analyze data. Let's construct one together, shall we?. https://cdn.kastatic.org/ka-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.mp4 498 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/box-plots 2026-04-15T07:10:35.354439598Z Creating box plots More practice making box plots to summarize data sets. Ben S. exercise 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 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/analyzing-data-with-box-plots 2026-04-15T07:10:35.354439598Z Reading box plots Practice reading information presented in box plots. Rhonda Hughes exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/interpreting-box-plots 2023-09-21T21:49:35.177342261Z Interpreting box plots A box and whisker plot is a handy tool to understand the age distribution of students at a party. It helps us identify the minimum, maximum, median, and quartiles of the data. However, it doesn't provide specific details like the exact number of students at certain ages. video https://cdn.kastatic.org/googleusercontent/GKp7a1kqWbgwMiyrh8dT7LIKAevwFYlFYN0KubkwgyGf_5_phggpEpR-fXalnNib2MUlseIJwE4QalgiNfGiaoDm1Q Interpreting box plots A box and whisker plot is a handy tool to understand the age distribution of students at a party. It helps us identify the minimum, maximum, median, and quartiles of the data. However, it doesn't provide specific details like the exact number of students at certain ages. https://cdn.kastatic.org/ka-youtube-converted/oBREri10ZHk.mp4/oBREri10ZHk.mp4 464 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/percentiles-cumulative-relative-frequency/v/analyzing-a-cumulative-relative-frequency-graph 2023-12-15T19:01:48.939979194Z Analyzing a cumulative relative frequency graph We investigate a scenario that includes interpreting cumulative relative frequency graphs, using percentiles and quartiles to estimate central tendency and spread within a distribution, and calculating the interquartile range based on the interpretation of the graph. video https://cdn.kastatic.org/ka_thumbnails_cache/14265f26-d0d0-4ff4-9460-e75ab78fc61b_1280_720_base.png Analyzing a cumulative relative frequency graph We investigate a scenario that includes interpreting cumulative relative frequency graphs, using percentiles and quartiles to estimate central tendency and spread within a distribution, and calculating the interquartile range based on the interpretation of the graph. https://cdn.kastatic.org/ka-youtube-converted/TwGYLQ-DNdc.mp4/TwGYLQ-DNdc.mp4 355 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/percentiles-cumulative-relative-frequency/a/cumulative-relative-frequency-graph-problem 2021-07-01T02:19:31Z Cumulative relative frequency graph problem article https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/v/histograms 2022-11-16T04:22:43.7414897Z Histograms Here's how we make a histogram: 1. Collect your data and decide on the number and size of bins (categories) you want to divide your data into. 2. Count the number of data points that fall within each bin. 3. Draw a graph with the bins as the x-axis and the frequency counts as the y-axis. 4. Draw vertical bars to represent the frequency count for each bin. Sal Khan video https://cdn.kastatic.org/googleusercontent/vc2lajWHpzz8H099uLWr1plNQq-Y5Gy0zUUnijdBICxwC8KXIjlh2FHXRCb4MaIWuoKL9232MroRrLFt7s4fjao Histograms Here's how we make a histogram: 1. Collect your data and decide on the number and size of bins (categories) you want to divide your data into. 2. Count the number of data points that fall within each bin. 3. Draw a graph with the bins as the x-axis and the frequency counts as the y-axis. 4. Draw vertical bars to represent the frequency count for each bin. https://cdn.kastatic.org/ka-youtube-converted/4eLJGG2Ad30.mp4/4eLJGG2Ad30.mp4 368 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/v/interpreting-a-histogram-indian-accent 2025-06-03T19:25:43.416794683Z Interpreting a histogram In a cherry pie store, we use a histogram to understand the distribution of cherries on pies. We create buckets for different ranges of cherries, count the pies in each, and can answer questions about our pie inventory and cherry distribution! Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Interpreting a histogram In a cherry pie store, we use a histogram to understand the distribution of cherries on pies. We create buckets for different ranges of cherries, count the pies in each, and can answer questions about our pie inventory and cherry distribution! https://cdn.kastatic.org/ka-youtube-converted/qj7C3TWfyFE.mp4/qj7C3TWfyFE.mp4 269 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/a/histograms-review 2023-02-22T03:54:13.328982673Z Histograms review article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/e/reading-histograms 2026-06-17T20:58:51.284288094Z Read histograms Practice reading and interpreting histograms. Ben S exercise https://www.khanacademy.org/math/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/e/analyzing-data-with-histograms 2026-04-07T23:55:07.30621384Z Analyzing data with histograms elizabeth exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/v/histograms-intro 2021-07-01T17:39:48Z Creating a histogram A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges. Taller bars show that more data falls in that range. A histogram displays the shape and spread of continuous sample data.  video https://cdn.kastatic.org/googleusercontent/RhHZWxwp22klKK7rm1TFYt9jpKrXxJkTLB4FLjHfv8LJ0AgOm6QxlTjAInvDKvKnBD3Zor4r_GAwsRFpJ_P1TvQ Creating a histogram A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges. Taller bars show that more data falls in that range. A histogram displays the shape and spread of continuous sample data.  https://cdn.kastatic.org/ka-youtube-converted/gSEYtAjuZ-Y.mp4/gSEYtAjuZ-Y.mp4 442 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/e/statistics-15-d 2026-04-07T23:36:17.218592739Z Reading and creating histograms Statistics ashish exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/e/creating-histograms 2026-05-06T05:31:17.506778064Z Create histograms Practice creating histograms. Ben Stenhaug exercise https://www.khanacademy.org/math/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/v/drawing-a-frequency-polygon 2025-04-15T11:31:26.960901531Z Drawing a frequency polygon In this video, we explore how to transform a histogram into a frequency polygon using real-life data. We start by looking at an age distribution histogram for a local area, then introduce the concept of a frequency polygon—explaining why it’s called that and how it can be more useful than a histogram. You’ll learn: • Why use a frequency polygon? Discover its benefits in showing trends, enhancing aesthetics, and comparing multiple data sets. • Step-by-step plotting: Find class marks, plot the points, and extend the graph to the x-axis to complete the polygon. • Practical applications: See real-life examples of how frequency polygons can simplify data interpretation. Created by Sarath Penumuru Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Drawing a frequency polygon In this video, we explore how to transform a histogram into a frequency polygon using real-life data. We start by looking at an age distribution histogram for a local area, then introduce the concept of a frequency polygon—explaining why it’s called that and how it can be more useful than a histogram. You’ll learn: • Why use a frequency polygon? Discover its benefits in showing trends, enhancing aesthetics, and comparing multiple data sets. • Step-by-step plotting: Find class marks, plot the points, and extend the graph to the x-axis to complete the polygon. • Practical applications: See real-life examples of how frequency polygons can simplify data interpretation. Created by Sarath Penumuru https://cdn.kastatic.org/ka-youtube-converted/WkkZFyyp2to.mp4/WkkZFyyp2to.mp4 446 Box-and-whisker plots, histograms and polygons https://www.khanacademy.org/math/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/e/drawing-a-frequency-polygon 2026-05-19T08:30:42.784038807Z Drawing a frequency polygon Let's check our proficiency in Frequency Polygons! Satya Swaroop exercise 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 Box-and-whisker plots, histograms and polygons 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/10th-grade-math-revised-k-to-10-3-terms/x06a77af3c81397cf:unit-1/x06a77af3c81397cf:box-and-whisker-plots-histograms-and-polygons/e/histogram-frequency-polygon-pie-chart 2026-06-01T10:00:48.582989644Z Histogram, Frequency Polygon, Pie Chart In this exercise, students will learn to analyze and interpret data presented in various graphical formats, including Histograms, Frequency Polygons, and Pie Charts Khan Academy exercise