The time (in seconds) needed to complete a critical task on an assembly line was
ID: 2956615 • Letter: T
Question
The time (in seconds) needed to complete a critical task on an assembly line was measured for a sample of 50 assemblies.
The date is displayed in the accompanying table.
40.3
41.9
44.4
42.8
41.1
42.2
40.7
46.8
40.5
40.6
44.5
43.1
40.1
40.7
40.9
40.7
40.2
40.6
47.9
41.0
41.1
44.6
40.2
43.1
41.1
42.1
40.6
41.5
40.2
40.3
40.9
40.0
41.6
40.2
44.4
44.2
40.2
40.1
41.4
44.1
43.7
42.7
42.4
42.8
41.0
40.7
43.4
45.7
40.7
40.4
1.1 Using the stem and leaf technique, construct a less-than cumulative frequency distribution. -Draw to scale a histogram, frequency polygon and less-than cumulative ogive using the information from 1. Use the ogive to determine the range and the mid80% range. Determine the coefficient of variation. Interpret your answer.
These are my answers
In this case, the stems will be the whole number values and the leaves will be the decimal values. The data range from 40.0 to 47.9, so the stems should start at 40 and finish at 47.
Seconds of the 50 Assemblies
Stem
Leaf
40
0 1 1 2 2 2 2 2 3 3 4 5 6 6 6 7 7 7 7 7 9 9
41
0 0 1 1 1 4 5 6 9
42
1 2 4 8 8 7
43
1 1 4 7
44
1 2 4 4 5 6
45
1
46
1
47
1
It was not necessary to split stems because the leaves are not crowded on too few stems; nor is it necessary to round the values, since the range of values is not large. This stem and leaf plot reveals that the group with the highest number of observations recorded is the 40.0 to 41.9 group.
Class
Frequency
Cumulative (less-than) Frequency
Cumulative Relative Frequency
40-41
22
22
0.44
41-42
9
31
0.62
42-43
6
37
0.74
43-44
4
41
0.82
44-45
6
47
0.94
45-46
1
48
0.96
46-47
1
49
0.98
47-48
1
50
1.00
Total
50
There are 50 values in the table above (50/2) = 25. LMe is the lower limit of the median class. The median class is 41-42 where 25 is located.
Median = 41.5 + (25 – 22)1
--------------
9
= 41.5 + 0.333 = 41.8333
40.3
41.9
44.4
42.8
41.1
42.2
40.7
46.8
40.5
40.6
44.5
43.1
40.1
40.7
40.9
40.7
40.2
40.6
47.9
41.0
41.1
44.6
40.2
43.1
41.1
42.1
40.6
41.5
40.2
40.3
40.9
40.0
41.6
40.2
44.4
44.2
40.2
40.1
41.4
44.1
43.7
42.7
42.4
42.8
41.0
40.7
43.4
45.7
40.7
40.4
Explanation / Answer
Of course you did it write -- you wrote all of the answers. And I am very confident that you did it right, meaning correctly as well. Bravo Zulu. (That's Navy for Well Done)Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.