Chapter 13.2, Problem 25STP

To determine

The correct statement from the given 4 statements

Answer to Problem 25STP

Option B. Mean is about 11.9

Explanation of Solution

Given:

The given data is:

  

Calculation:

Let us check if option A is true or not:

The data from the stem-and-leaf plot can be written as:

10.0, 10.3, 10.5, 10.7, 10.7, 11.0, 11.0, 11.2, 11.2, 12.4, 12.6, 12.6, 12.6, 12.6, 13.0, 13.0, 13.0, 13.1, 14.0

Mode is the data value that is occurring most frequently in the data set.

So, Mode = 12.6

Option A is not true.

Check option B:

Mean = Sum of all observations/Total number of observations

  $\begin{array}{l}=\frac{10.0+10.3+10.5+10.7+10.7+11.0+11.0+11.2+11.2+12.4+12.6+12.6+12.6+12.6+13.0+13.0+13.0+13.1+14.0}{19}\\ =\frac{225.5}{19}\\ =11.868\end{array}$

Which is approximately 11.9

Therefore, option B is true.

As option B is true, we need not test other two options i.e. option C and D.