Mean median mode box whiskers plot3/24/2024 Multiply the difference by 1.5, subtract this result from Q1, and add it to Q3.This difference is called the interquartile range (IQR): IQR=Q3−Q1. Calculate the difference between Q1 and Q3.Organize the given data set and determine the values of Q1 and Q3.One method for checking a data set for the presence of an outlier is to follow the procedure below: There is no rule that tells you what to do with an outlier in this case. If the outlier is a legitimate value, then the statistician must make a decision as to whether or not to include it in the set of data values. If an outlier is present because of an error in measurement, observation, or recording, then either the error should be corrected, or the outlier should be omitted from the data set. (This rarely occurs, but it is a possibility.) The value could be one that is legitimate but is extreme compared to the other values in the data set.A researcher recording marks from a math 12 examination may have recorded a mark by a student in grade 11 who was taking math 12. The value could be a result obtained from a subject not within the defined population.The value may have been written or typed incorrectly. The value may simply be an error made by the researcher in recording the value.The researcher may have measured the variable incorrectly. The value may be the result of an error made in measurement or in observation.There are several reasons why a data set may contain an outlier. Many data sets contain values that are either extremely high values or extremely low values compared to the rest of the data values. The five-number summary divides the data into quarters by use of the medians of the upper and lower halves of the data. The center of the distribution, the nature of the distribution, and the range of the data are very obvious from the graph. The length of the whiskers also gives you information about how spread out the data is.Ī box-and-whisker plot is often used when the number of data values is large. If the left whisker is longer than the right whisker, the distribution is negatively skewed. If the right whisker is longer than the left whisker, the distribution is positively skewed.Ĭ. If the whiskers are the same or almost the same length, the distribution is approximately symmetric.ī. Information about the data set that can be determined from the box-and-whisker plot with respect to the length of the whiskers includes the following:Ī. If the median is located to the right of the center of the box, the distribution is negatively skewed. If the median is located to the left of the center of the box, the distribution is positively skewed.Ĭ. If the median is located in the center or near the center of the box, the distribution is approximately symmetric.ī. Information about the data set that can be determined from the box-and-whisker plot with respect to the location of the median includes the following:Ī. Not all box-and-whisker plots have the median in the middle of the box and whiskers of the same size. It's important to note that this is just an example. The lengths of the whiskers and the location of the median with respect to the center of the box are used to describe the distribution of the data. In addition, it shows that the median of the data set is in the middle of the box, which contains 50% of the data. The above model of a box-and-whisker plot shows 2 horizontal lines (the whiskers) that each contain 25% of the data and are of the same length. The display of the five-number summary produces a box-and-whisker plot as shown below:
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