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Flexural strength is a measure of a material\'s ability to resist failure in ben

ID: 3068367 • Letter: F

Question

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) 1.45x 10psi): 7.2 7.3 7.8 6.2 6.8 7.0 9.7 7.6 7.8 6.8 6.5 7.0 11.5 8.2 8.7 6.3 7.9 9.0 9.7 7.7 11.6 11.8 10.8 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smalest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 10 What appears to be a representative strength value? MPa Do the observations appear to be highly concentrated about the representative value or rather spread out? highly concentrated around the representative value O spread out with a large range (b) Does the display appear to be reasonably symc about a representative value, or would you describe its shape in some other way? O reasonably symmetric O positive skewness O negative skewness O completely random distribution (c) Do there appear to be any outlying strength values? O Yes O No (d) What proportion of strength observations in this sample exceed 10 MPa? (Round your answer to two decimal places.)

Explanation / Answer

a)

appears to be representative strenth value ? - 7.7 MPa

b)

positive skew

c)

No

d)

proportion exceed 10 Mpa =(4/27)=0.15

stem leaves 5 8 6 2 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 8 11 5 6 8