Question

The accompanying specific gravity values describe various wood types used in construction. 0.34 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.51 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76

Construct a stem-and-leaf display using repeated stems.
Comment on any interesting features of the display.
a. The display is symmetric.
b. The display is not symmetric and appears to be positively skewed.
c. There is a small amount of variation in the data.
d. The stem-and-leaf display shows that 0.45 is a good representative value for the data.
e. There is a reasonably large amount of variation in the data.
f. The data value 0.33 is a possible outlier.
g. The stem-and-leaf display shows that 0.55 is a good representative value for the data.
h. The data value 0.76 is a possible outlier.

Answer 1

h. The data value 0.76 is a possible outlier.

b. The display is not symmetric and appears to be positively skewed.

d. The stem-and-leaf display shows that 0.45 is a good representative value for the data.

Explanation:

STEM | LEAF

3 ___ | 4

3 ___ | 5, 6, 6, 7, 8

4 ___ | 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 4

4 ___ | 5, 6, 6, 7, 8, 8, 9

5 ___ | 1, 4, 4

5 ___ | 5, 8

6 ___ | 1

6 ___ | 6, 6, 7, 8

7 ___

7 ___ | 6

The data point which seems a bit further out from the rest of the values : 0.76

0.45 is the median value and gives a reasonable representative value of the data.

Majority of the data accumulates on the left and this makes distribution positively skewed.