Question

Questions 1-5 are related to the following Minitab output, which displays a Stem-and-leaf plot of the number of parts that do not meet certain specifications in fifty-one consecutive batches manufactured in a given plant of a company. Use this plot to determine the interquartile range. Stem-and-leaf Leaf Unit = 10.0 1 16 5 1 8899 10 2 00011 16 2 222233 25 2 444444555 (5) 2 66777 21 2 88999 16 3 00001 11 3 223 8 3 455 5 3 666 2 39 140 -

1. What is the rank value associated with the first quartile?
2. What is the data value associated with the first quartile?
3. What is the data value associated with the third quartile?
4. What is the rank value associated with the third quartile?
5. What is the interquartile range?

Answer 1

Total value = 51

a)

Q1 = 51/4 = 12.75  

b)

13TH OBSERVATION= Data value = 22

d)

Q3 = 51/4 = 12.75 *3 = 38.25

c)

39TH OBSERVATION =data value =30

e)

interquartile range = Q3 -Q1 = 30 - 22 = 8

Please revert back in case of any doubt.

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