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Answer:
Seventy five percent of the data values lies between 20 and 50
The interquartile range is 25
Step-by-step explanation:
Fifty percent of the data values lies between 50 and 110. This is incorrect because in a box and whisker plot, each section represents 25%. In this scenario, the data between 50 and 110 would actually only represent 25%.
Seventy-five percent of the data values lies between 20 and 50. This is correct because as I said above, each section is equal to 25%. This example shows that 20 to 50 takes up 3 sections, thus equaling 75%.
It is unlikely that there are any outliers. I know that you got this from ed and even if you make a box and whisker plot, you can see very clearly that there is an outlier of 110.
The interquartile range is 25. This is correct because to find the interquartile range, you subtract the upper quartile is fifty, and the lower quartile is 25.
The range is 78. To find range, you subtract the largest value from the smallest value. Since 110-20 does not equal 78, this is incorrect.
If this didn't sway you to thinking I'm right, I took the quiz on ed today and got a hundred on it
The statement that asserts a true claim regarding box plot would be:
- Seventy-five percent of the data values lie between 20 and 50.
- The interquartile range is 25.
- As per the details provided, every 'box-and-whisker-plot' contained one-fourth of the data i.e. only 25%. This makes the first statement claiming 50% between 50 and 110 is wrong.
- Since each section involves 25% which implies that the statement regarding 75% of values being between 20 and 50 would be correct as it carries three sections i.e. 75%.
- The next statement that is true would be the interquartile range being 25 as the difference of the upper quartile and the lower quartile gives 25.
- While the possibility of an outlier being 110 is likely and the range being 78 is inappropriate because the difference of the highest and smallest value gives 90.
Thus, the above two options are correct.
Learn more about 'Range' here:
brainly.com/question/12239390