![]() ![]() There are 16 data values between the first quartile, 56, and the largest value, 99: 75%. There are five data values ranging from 82.5 to 99: 25%. There are five data values ranging from 74.5 to 82.5: 25%. There are six data values ranging from 56 to 74.5: 30%. Day class: There are six data values ranging from 32 to 56: 30%.Which box plot has the widest spread for the middle 50% of the data (the data between the first and third quartiles)? What does this mean for that set of data in comparison to the other set of data?.Create a box plot for each set of data.For each data set, what percentage of the data is between the smallest value and the first quartile? the first quartile and the median? the median and the third quartile? the third quartile and the largest value? What percentage of the data is between the first quartile and the largest value?.Find the smallest and largest values, the median, and the first and third quartile for the night class.Find the smallest and largest values, the median, and the first and third quartile for the day class.The top 25% of the values fall between five and seven, inclusive. At least 25% of the values are equal to five. Twenty-five percent of the values are between one and five, inclusive. In this case, at least 25% of the values are equal to one. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like: Figure 2.1.1.4 The right side of the box would display both the third quartile and the median. In this case, the diagram would not have a dotted line inside the box displaying the median. For instance, you might have a data set in which the median and the third quartile are the same. The following data are the number of pages in 40 books on a shelf. The middle 50% (middle half) of the data has a range of 5.5 inches.The interval 59–65 has more than 25% of the data so it has more data in it than the interval 66 through 70 which has 25% of the data.The line connects from the right side of the box to the vertical line at the maximum value.= 70 - 64.5 = 5.5\). Finally, draw a horizontal line segment representing the right whisker. The line connects the left side of the box to the vertical line at the minimum value. Draw a horizontal line segment representing the left whisker. Draw a rectangle from the \(Q_1\) value to the \(Q_3\) value. Next, construct the box portion of the box and whisker plot.Draw small vertical lines above each of the five numbers in the five number summary found in step 2.Step 3: Sketch a box and whisker plot using our five-number summary. The maximum value of the data set is 28.The median of the three numbers to the right of 12 is 15, so \(Q_3=15\). The minimum, or lowest number in the data set.These values are also called the five-number summary of a set of data when ordered from least to greatest. The graph of a box and whisker plot involves plotting five data values. A box and whisker plot, also called a box plot, is a type of graph that displays quantitative data. Mathematicians use graphs to illustrate data sets. For instance, class scores on a math test are a data set. First, a data set is a collection of numbers that relate to a specific topic. We’ll also discuss when to display data with a box and whisker plot.īefore we get started, let’s review a few things. Hello, and welcome to this video about box and whisker plots! Today we’ll learn how to interpret box and whisker plots to answer questions about data. ![]()
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