Answer:
Sure, I can help you create a box and whisker plot with the given data.
First, let's arrange the data in ascending order: 16, 17.22, 18, 20.25, 21, 23.
To create a box and whisker plot, we need to determine the minimum value, maximum value, median, lower quartile, and upper quartile.
The minimum value is 16.
The maximum value is 23.
To find the median, we take the middle value. Since we have 6 data points, the median is the average of the two middle values: (18 + 20.25) / 2 = 19.125.
To find the lower quartile, we take the median of the lower half of the data. In this case, the lower half is 16, 17.22, and 18. The median of the lower half is (16 + 17.22) / 2 = 16.61.
To find the upper quartile, we take the median of the upper half of the data. In this case, the upper half is 20.25, 21, and 23. The median of the upper half is (20.25 + 21) / 2 = 20.625.
Now we can plot the box and whisker plot with these values. The box represents the interquartile range (lower quartile to upper quartile), the line inside the box represents the median, and the whiskers represent the minimum and maximum values.