Math Snap
PROBLEM
Find the mode of the following weights for 30-year-old males: 227.2, 159.4, 115.0, 178.9, 196.6, 169.3, 214.0, 173.5, 226.3, 230.8, 195.4, 146.5, 169.9, 124.6, 168.4, 139.3, 230.5, 148.9, 225.1, 142.9, 148.0, 160.9, 126.7, 212.5, 196.3, 179.1, 130.6, 223.3, 207.4, 122.2.
STEP 1
Assumptions1. The data set provided represents the weights of30-year-old males.
. The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.
STEP 2
First, we need to organize the data in ascending order. This will make it easier to identify the mode.
$$\begin{array}{l}
115.0, \\
122.2, \\
124.6, \\
126.7, \\
130.6, \\
139., \\
142.9, \\
146.5, \\
148.0, \\
148.9, \\
159.4, \\
160.9, \\
168.4, \\
169., \\
169.9, \\
173.5, \\
178.9, \\
179.1, \\
195.4, \\
196., \\
196.6, \\
207.4, \\
212.5, \\
214.0, \\
223., \\
225.1, \\
226., \\
227.2, \\
230.5, \\
230.8\end{array}
$$
STEP 3
Now, we need to count the frequency of each weight in the data set.
SOLUTION
After counting, we see that all weights appear only once. Therefore, this data set has no mode.
The mode of these weights is none.
