Solution Found!
Consider the strength data for beams given in Example 1.2.
Chapter 1, Problem 10E(choose chapter or problem)
Problem 10E
Consider the strength data for beams given in Example 1.2.
a. Construct a stem-and-leaf display of the data. What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out?
b. Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
c. Do there appear to be any outlying strength values?
d. What proportion of strength observations in this sample exceed 10 MPa?
Questions & Answers
QUESTION:
Problem 10E
Consider the strength data for beams given in Example 1.2.
a. Construct a stem-and-leaf display of the data. What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out?
b. Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
c. Do there appear to be any outlying strength values?
d. What proportion of strength observations in this sample exceed 10 MPa?
ANSWER:
Answer :
Step 1 of 4:
Consider the strength data for beams given the data in below.
5.9 |
8.2 |
7.2 |
8.7 |
7.3 |
7.8 |
6.3 |
9.7 |
8.1 |
7.4 |
6.8 |
7.7 |
7 |
9.7 |
7.6 |
7.8 |
6.8 |
7.7 |
6.5 |
11.6 |
7 |
11.3 |
6.3 |
11.8 |
7.9 |
10.7 |
9 |
a).
Now we have to construct a stem-and-leaf display of the data. What appears to be a representative strength value.
Stem |
Leaf |
5 |
9 |
6 |
3 3 5 8 8 |
7 |
0 0 2 3 4 6 7 7 8 8 9 |
8 |
1 2 7 |
9 |
0 7 7 |
10 |
7 |
11 |
3 6 8 |
The stem and leaf is shown above.
From the given data the large percentage is closer to 100% than it is 0%.
For this data, the large value is 11 and small value is 5.
So the spread is 11 - 5 = 6,
Then the constitutes =0 .75, or, 75%, of the typical data value of 8.
Hence the researchers call, this is a large amount of variation.