Problem #6: Consider the data set that is summarized in the Minitab Output below

Question

Problem #6: Consider the data set that is summarized in the Minitab Output below Stem-and-Leaf Display: C1 Stem-and-leaf of C1 N = 13 Leaf Unit = 1.0 2 27 (7) 5 0122222 3 6 135 (a) Find the values of 01 and 03 (b) Find the median (c) Find the adjacent values (Note: Read the last two pages of this file for the relevant definitions, and for an example.) (d) Which of the following is a correct modified boxplot for this data set? 01 and Q3 separate your answers with a comma (the order doesn't matter) Problem #6(a): Problem #6(b): median adjacent values separate your answers with a comma (the order doesn't matter) Problem #6(c):

Explanation / Answer

the raw data is : 15,27,49,50,51,52,52,52,52,52,61,63,65

a) Q1 = N/4th obs. =3.25th observation = 49.5

Q3 = 3N/4th obs. = 10.5th observation =56.5

b) Medain = 7th observation = 52

c)

IQR = Q3-Q1 = 56.5-49.5 = 7

Lower Limit= Q1 -1.5*IQR = 49.5-1.5*7 = 39

Upper Limit = Q3 +1.5*IQR = 67

d) Option H) box plot is correct

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