The stem-and-leaf plot records measurements (X,in mg) of the pesticide DDT in 40

Question

The stem-and-leaf plot records measurements (X,in mg) of the pesticide DDT in 40 samples taken from the runoff for a new housing subdivision. These data were not rounded or truncated prior to plotting. Stem-and-leaf (N40) Leaf Unit 1.0 16 0 0000000123333344 (11) 55556777889 13 1 0122234 1 5568 6 2 2 7 1 4 4 If a boxplot is constructed from these data, then the upper outer fence A lies between 27 and 44 o B lies beyond 45 C lies between 19 and 26 D lies at the end of the whisker E cannot be determined from the information provided

Explanation / Answer

The upper outer fence: Q3 + (3 * IQR)

For the given data, IQR = (20th + 21st term) / 2 = (5 + 6) / 2 = 5.5

Upper fence = Q3 = (10th + 11th term of upper division) / 2 = (12+12)/2 = 12

Therefore, The upper outer fence: Q3 + (3 * IQR)

= 12 + (3*5.5) = 12 + 16.5 = 28.5

Option A. lies between 27 and 44.

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