Exam MAS-I Practice Question 131
Study guide: Exam MAS-I
Fifteen liability claims (in thousands) are:
1.2,\ 1.8,\ 2.0,\ 2.5,\ 3.1,\ 3.4,\ 3.9,\ 4.2,\ 4.8,\ 5.5,\ 6.0,\ 7.2,\ 9.5,\ 14.0,\ 22.5A box plot is drawn with these conventions: Q_1 is the median of the seven values below the overall median and Q_3 the median of the seven values above it (the overall median is left out of both halves); a point is plotted individually as an outlier if it lies more than 1.5 × IQR beyond the box; each whisker runs to the most extreme value that is not an outlier.
Part a (1 point)
Calculate the interquartile range. Give your answer to one decimal place.
Part b (1 point)
Calculate the upper fence, Q_3 + 1.5\,\text{IQR}. Give your answer to two decimal places.
Part c (1 point)
Calculate the number of claims plotted as outliers. Give your answer as a whole number.
Part d (1 point)
Where does the upper whisker end?
- A) 9.5
- B) 14.0
- C) 14.25
- D) 21.3
- E) 22.5
Answer this question and see the worked solution