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 MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi): 5.7 7.2 7.3 6.2 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 11.3 11.8 10.6Construct a stem-and-leaf display of the data.

Answer 1

See explanation below.

Explanation:

The first step for this case is sort the data on increasing order like this:

5.7 ,6.2, 6.3, 6.5, 6.8, 6.8, 7, 7, 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, 9.7, 9.7, 10.6, 11.3, 11.6, 11.8

The possible values for the stem are: 5,6,7,8,9,10,11.

And for example:

A stem value of 5 and a leaf value of 7 means 5.7

A stem value of 6 and a leaf value of 2 means 62

And the stem leaf plot would be given by:

S = Stem, L= leaf

S L

5 | 7

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 | 6

11 | 3 6 8