Chapter 1, Problem R1.6RE

a.

To determine

To construct: The stem plot for the provided data set.

Explanation of Solution

Given:

The data set is:

5.5
5.61
4.88
5.07
5.26
5.55
5.36
5.29
5.58
5.65
5.57
5.53
5.62
5.29
5.44
5.34
5.79
5.1
5.27
5.39
5.42
5.47
5.63
5.34
5.46
5.3
5.75
5.68
5.85

Graph:

The stem plot could be constructed as:

  

b.

To determine

To describe: The provided distribution.

Explanation of Solution

The above constructed plot shows that the distribution is approximately normally distributed and centre of the data is 5.46. And, data is spread out from 4.88 to 5.85.

c.

To determine

To compare: The mean of the distribution with the density of 5.51.

Explanation of Solution

The mean of the distribution can be calculated as:

  $\begin{array}{c}\overline{x}=\frac{{\displaystyle \sum x}}{n}\\ =\frac{5.50+5.61+4.88+\mathrm{.......}+5.85}{29}\\ =5.448\end{array}$

The mean of the distribution is less than 5.448.