Box and whisker plot of 20,23,28,14,13,24,18,11
To create a box and whisker plot for the given data: 20, 23, 28, 14, 13, 24, 18, 11, follow these steps:
Step 1: Order the data in ascending order: 11, 13, 14, 18, 20, 23, 24, 28.
Step 2: Find the median (middle value) of the data, which is 20.
Step 3: Split the data into two halves: the lower half (11, 13, 14, 18) and the upper half (23, 24, 28). Find the median of each half. The median of the lower half is (13 + 14) / 2 = 13.5, and the median of the upper half is (24 + 28) / 2 = 26.
Step 4: Draw a number line and plot the minimum value, maximum value, median, upper quartile, and lower quartile.
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|______|______|_______|_______|
11 13.5 20 24.5 28
The box represents the interquartile range (IQR), which is the range between the lower quartile (Q1) and upper quartile (Q3). In this case, Q1 = 13.5 and Q3 = 24.5.
The whiskers extend from the box and represent the minimum and maximum values. In this case, the minimum is 11, and the maximum is 28.
Note: If your dataset consists of an even number of values, the median and quartiles would be found by taking the average of the two middle values.