Answer . Box and whisker plot; Data set; 2017-09-25 16:08:27. We are 95% certain that the actual median for the underlying Box plots show many details of a distribution that are not b. Two exam questions where students first have to plot the cumulative frequency graph, then interpret it by finding the median and interquartile range and then construct a box plot from this. The reason why I am showing you this image is that looking at a statistical distribution is more commonplace than looking at a box plot. The boxplot below shows the high temperatures in Anchorage, Alaska in May 2014*. If a data set has no outliers (unusual values in the data set), a boxplot will be made up of the following values. Using the box plot, determine the range and interquartile range. The top of the box marks the 75th percentile for the data Since there are no outliers, the main line through the boxplot starts at the minimum value and ends at the maximum value. 0. • Diagrams are NOT accurately drawn, unless otherwise indicated. Use this information and the cumulative frequency to draw a box plot on the grid below. The forming of an array using vertical concatenation with the. If there are no outliers, you simply won’t see those points. Free. The data are then grouped into boxes by label. Preview. We would need to see a dotplot or a stemplot (or the data set itself) to be able to answer this question. Once you find your worksheet(s), you can either click on the pop-out icon or download button to print or download your desired … unequal size data sets. Through this though, you lose some information about individual values. (2 Marks) The box plot below shows the amount spent by people over the Christmas period in 2015. b. If you are right then will appear and you should move on to the next question. Depending on the software used, you may see either configuration. 95% of the samples. Reading box plots. Favourite answer. (FIGURE CAN'T COPY) a. These will be used for calculation … So, now that we have addressed that little technical detail, let’s look at an example to see what kinds of questions we can answer using a boxplot. it is an estimate of an interval that the median will be in for However, So I made box plots for TV Stations and the x-axis is labeled RATINGS (MILLIONS OF VIEWERS). This question illustrates one weakness of a boxplot; a weakness that is shared with histograms. That is, an Outlier > 1.5 ( Q sub 3 - Q sub 1) + Q sub 3. have to be symmetric, so the median line could fall anywhere in the box at http://commons.wikimedia.org/wiki/File:Iris_versicolor_3.jpg. Compare the distribution of the marks in the Maths test and marks in the Maths test. Let's say we start the numbers 1, 3, 2, 4, and 5. Use this to answer the following questions. FOCUS QUESTION: How can I compare the distributions for data sets that have outliers? But, if there ARE outliers, then a boxplot will instead be made up of the following values. This videos are hosted on YOUTUBE and emebedded here for your convenience. The median high temperature in May was about 64°F. Detailed Answer Key. Answers attached. The central line marks the data set median. Without the actual data set, we will often have to estimate. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. Practice: Reading box plots. The median for this data set is between 62.5°F and 65°F, and a bit closer to 65°F than not. 75% of the data set values are above. (a) Are there any outliers in this data set? Answer all questions. GCSE Higher The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant. When making a plot of your own data set, you must consider whether this is important or not and select your plot accordingly. The approximate definition of 25th percentile is the value We are looking for the minimum value here. So we can write: About 25% of days in May had high temperatures warmer than about 66°F. Box plot review. A cell array is a MATLAB data structure designed to hold a … depending on the distribution. (a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant. Look at the following example of box and whisker plot: Identifying outliers with the 1.5xIQR rule. Box-Plots-Answers. When the data set is placed in order from smallest to largest, these divide the data set into quarters. So, now that we have addressed that little technical detail, let’s look at an example to se… a). If appears then your answer is wrong. Another question where it would be interesting to know the answer! 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