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

ID: 3273151 • 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 Mega Pascal, MPa, where 1 Pa (Pascal) = 1.45 times 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 10.8 (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.) 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 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? reasonably symmetric positive skewness negative skewness completely random distribution (c) Do there appear to be any outlying strength values? Yes No (d) What proportion of strength observations in this sample exceed 10 MPa?

Explanation / Answer

a)

Strength value is 7Mpa

Correct Answer: Hightly concentraed around the representative value
b) Correct Answer: Reasonably symmetric
c) Yes
d) 3/27 = 0.1111

Stems Leaves 5 6 6 33588 7 234677889 8 127 9 77 10 8 11 268