Boxplots are used to display the distribution of values using box and whiskers. The 5-number summary of any distribution can be easily obtained from a boxplot.
Description for each boxplot:
Boxplot 1 :
- Distribution is skewed to the left
- 25% of the values are more than 31.08
- 25% of the values are less than 26.40
Boxplot 2:
- 25% of the values are more than 16.75
- Distribution is close to symmetrical
- 25% of values are less than 15
Let's evaluate the description given:
- 16.75 is the 75th percentile in the second distribution, this means that (100% - 75%) = 25% ; 25% of the values in the distribution are greater than 16.75(True for Boxplot 2).
- None of the distribution is Right skewed as the median are not closer to the bottom of the box.
- Boxplot 2 is close to symmetrical, as the length of the upper and lower whiskers are the same and the median is not far from the middle of the box (True for Boxplot 2).
- 25% of the values in the second distribution are less than 15 because, 15.00 marks the 25th percentile. (True for Boxplot 2).
- 21.30 is the minimum value in the first boxplot, therefore, none of the values in the distribution can be below 21.30
- First boxplot is skewed to the left, as the median is closer to the top/right side of the boxplot (True for Boxplot 1).
- 35.10 is a maximum value, hence, no value in the distribution can be greater.
- 31.08 marks the 75th perectile, hence, (100-75) = 25% of the values will be greater than 31.08 (True for Boxplot 1).
- 12.30 is a minimum value, therefore no values can be lesser.
- 19.90 is a maximum value, therefore no values in the distribution can be greater.
- 26.40 marks the 25th percentile ; therefore, 25% of the values in the distribution are lesser Than 26.40. (True for Boxplot 1)
Therefore, each distribution has three matching descriptions from the available options.
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