Construct a stem and leaf plot for these 50 measurements: 3.1 4.9 2.8 3.6 2.5 4.5 3.5 3.7 4.1 4.9 2.9 2.1 3.5 4.0 3.7 2.7 4.0 4.4 3.7 4.2 3.8 6.2 2.5 2.9 2.8 5.1 1.8 5.6 2.2 3.4 2.5 3.6 5.1 4.8 1.6 3.6 6.1 4.7 3.9 3.9 4.3 5.7 3.7 4.6 4.0 5.6 4.9 4.2 3.1 3.9 a. Describe the shape of the data distribution. Do you see any outliers? b. Use the stem and leaf plot to find the smallest observation. c. Find the eighth and ninth largest observation

a) Bell shape, similar to normal

b) Smallest observation: 1.6

c) 8th largest observation: 4.9

9th largest observation: 4.9

Step-by-step explanation:

The stem and leaf plot for this series is

StemLeaf

1        6 8

2         1 2 5 5 5 7 8 8 9 9

3         1 1 4 5 5 6 6 6 7 7 7 7 8 9 9 9

4        0 0 0 1 2 2 3 4 5 6 7 8 9 9 9

5      1 1 6 6 7

6      1 2

The shape suggested by this plot is a bell-shape, similar to a normal distribution.

The smallest value is the first one that appears in the plot: 1.6.

The eighth and ninth larges observation has to be counted backwards from the largest (6.2).

8th largest observation: 4.9

9th largest observation: 4.9