Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi): 5.6 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.2 11.8 10.5   (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)  Answer: Stems Leaves 5   6   7   8   9   10   11   What appears to be a representative strength value? Answer:____________ MPa Do the observations appear to be highly concentrated about the representative value or rather spread out? Answer: ______highly concentrated around the representative value ______spread out with a large range     (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? Answer: _____reasonably symmetric ____positive skewness     ____negative skewness ____completely random distribution (c) Do there appear to be any outlying strength values? Yes or No     (d) What proportion of strength observations in this sample exceed 10 MPa? (Round your answer to two decimal places.) Answer:____________

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Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi):

5.6 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0
8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.2 11.8 10.5
 
(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) 
Answer:
Stems Leaves
5  
6  
7  
8  
9  
10  
11  

What appears to be a representative strength value?
Answer:____________ MPa

Do the observations appear to be highly concentrated about the representative value or rather spread out?
Answer:
______highly concentrated around the representative value
______spread out with a large range    

(b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
Answer:
_____reasonably symmetric
____positive skewness    
____negative skewness
____completely random distribution

(c) Do there appear to be any outlying strength values?
Yes or No    

(d) What proportion of strength observations in this sample exceed 10 MPa? (Round your answer to two decimal places.)
Answer:____________
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