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13 January, 08:15

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 cross 10❝4 psi):

5.7 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 11.4 11.8 10.9

(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.)

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  1. 13 January, 10:32
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    Stem Leaf

    5 | 7

    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 | 9

    11 | 4 6 8

    Notation: 5|7 means 5.7 and 11|4. means 11.4

    Step-by-step explanation:

    For this case we have the following dа ta:

    5.7 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 11.4 11.8 10.9

    The first step on this case is order the dataset on increasing way:

    5.7 6.3 6.3 6.5 6.8 6.8 7.0 7.0 7.2 7.3 7.4 7.6 7.7 7.7 7.8 7.8 7.9 8.1 8.2 8.7 9.0 9.7 9.7 10.9 11.4 11.6 11.8

    Then we can construct the stem leaf plot like this:

    Stem Leaf

    5 | 7

    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 | 9

    11 | 4 6 8

    Notation: 5|7 means 5.7 and 11|4. means 11.4
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