The distance (in miles) travelled by 88 vehicles were inputted into Minitab for analysis. A Stem and Leaf plot of these distances (in miles) is presented below in Figure 1. Figure 1 Stem-and-Leaf...

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The distance (in miles) travelled by 88 vehicles were inputted into Minitab for analysis. A Stem and Leaf plot of these distances (in miles) is presented below in Figure 1.

Figure 1
Stem-and-Leaf Display



Leaf Unit = 10.0 N= ?


1 0 7
1 1
2 1 8
2 2
4 2 88
8 3 0223
11 3 567
19 4 00001334
37 4 555555556667777888
(??) 5 000112223333344
36 5 55566788
28 6 00000000001123444
11 6 666788
5 7 0002

1 7 5
(a) Calculate the missing values “?” and “??” and explain or show how you arrived at your answer.
(b) Identify the minimum and the maximum values.
(c) Identify the class intervals implicit in the Stem and Leaf Diagram above. Hence develop a grouped frequency distribution, a relative frequency distribution and a cumulative frequency distribution from this display.
(d) What proportion of the vehicles travelled for more than 600 miles.
(e) What are the advantages of using aStem and Leaf Plotto summarize a dataset?
(f)What are the differences between aStem and Leaf Diagramand aBox Plot.



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DISCUSSION QUESTIONS The distance (in miles) travelled by 88 vehicles were inputted into Minitab for analysis.  A Stem and Leaf plot of these distances (in miles) is presented below in Figure 1. Figure 1 Stem-and-Leaf Display Leaf Unit = 10.0                  N= ?      1      0  7 1      1 2      1  8 2      2 4      2  88 8      3  0223 11    3  567 19    4  00001334 37    4  555555556667777888 (??)  5  000112223333344 36    5  55566788 28    6  00000000001123444 11    6  666788 5      7  0002   1      7  5 (a) Calculate the missing values “?” and “??” and explain or show how you arrived at your answer. (b) Identify the minimum and the maximum values. (c) Identify the class intervals implicit in the Stem and Leaf Diagram above.  Hence develop a grouped frequency distribution, a relative frequency distribution and a cumulative frequency distribution from this display. (d) What proportion of the vehicles travelled for more than 600 miles. (e) What are the advantages of using a Stem and Leaf Plot to summarize a dataset?  (f) What are the differences between a Stem and Leaf Diagram and a Box Plot.



Answered Same DayDec 23, 2021

Answer To: The distance (in miles) travelled by 88 vehicles were inputted into Minitab for analysis. A Stem and...

Robert answered on Dec 23 2021
116 Votes
DISCUSSION QUESTIONS
The distance (in miles) travelled by 88 vehicles were inputted into Minitab for a
nalysis. A Stem and
Leaf plot of these distances (in miles) is presented below in Figure 1.
Figure 1
Stem-and-Leaf Display
Leaf Unit = 10.0 N= ?
1 0 7
1 1
2 1 8
2 2
4 2 88
8 3 0223
11 3 567
19 4 00001334
37 4 555555556667777888
(??) 5 000112223333344
36 5 55566788
28 6 00000000001123444
11 6 666788
5 7 0002
1 7 5
(a) Calculate the missing values “?” and “??” and explain or show how you arrived at your answer.
N = 88
“??” = 15
N is the total number of observations. In Minitab, the count for row which includes the median
value is enclosed in parentheses. The values for rows above and below the median are
cumulative. In this way, we have 37+15+36 = 88.
The count for row which includes the median value is 15.
Comment [R1]: Leaf unit is 10.0, so the
minimum value is 70 and the...
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