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Bot GPT 3.5 To create a box-and-whisker plot, we first need to order the data from least to greatest:
11, 13, 16, 18, 21, 23, 24, 29
Next, we need to find the median of the data, which is the middle value. In this case, the median is the average of the two middle values, 18 and 21, which is 19.5.
Now we can divide the data into two halves: the lower half (11, 13, 16, 18) and the upper half (21, 23, 24, 29).
The lower quartile (Q1) is the median of the lower half of the data, which is 14.5 (average of 13 and 16).
The upper quartile (Q3) is the median of the upper half of the data, which is 23.5 (average of 23 and 24).
The interquartile range (IQR) is the difference between Q3 and Q1, which is 9.
Now we can create the box-and-whisker plot:
- The box represents the IQR, with the lower edge at Q1 (14.5), the middle line at the median (19.5), and the upper edge at Q3 (23.5).
- The whiskers extend from the minimum value (11) to the maximum value (29).
Box-and-whisker plot:
|
-------|-------
+ | +
| | |
Q1 ----+ +--+----- Q3
| |
median |
|
Min ---+----- Max
I hope this helps! Let me know if you have any other questions.