Now construct a vertical line through the median that hits both ends of the rectangle. We will first draw a number line that fits the data, and plot all the necessary values we found.Ĭonstruct a rectangle that encloses the median of the entire data set that its vertical lines pass through the upper and lower quartiles. Now that we have all our necessary values, we will construct our box and whisker plot. I Q R = U p p e r q u a r t i l e ( Q 3 ) - l o w e r q u a r t i l e ( Q 1 ) = 20 - 10 = 10 We can now find the inter-quartile range by the formula, That means that we are finding the median for 18, 20, 32 The upper quartile is the median for the second half of the data set. That means that we are finding the median for 5, 10, 16 The lower quartile is the median for the first half of the data set. We will now find the upper and lower quartiles. We can now identify the midpoint value (median) of the data set, ![]() H i g h e s t v a l u e = 32 L o w e s t v a l u e = 5 Now identify the highest and lowest values in the data set We rearrange the values in the data set from lowest to highest. Construct the box plot with the necessary values found.Identify the data set's midpoint value (median).Identify the highest and lowest values in the data set.Rearrange the values in the data set from lowest to highest.To construct one, we follow the following steps, Plotting interquartile ranges on a graph means you would be drawing a box plot. Now, we can proceed to calculate the interquartile range, We find the median for the second half too, which is 41, 43, 43, 47, 49. ![]() ![]() Let us find the median for the first half first. The spread of the values can be measured for quantitative data, as the variables are numeric and can be arranged into a logical order with a low end value and a high end value. Hence, the median for the first half will be the first quartile, whist the median for the second half will be the third quartile. Measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. With finding the median for both halves, we need to understand that the point where the median is located divides the data points into two. This is also known as the second quartile, We find the median by locating the middle data point, which is 41. We rearrange the data set in order from lowest to highest, to get
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