Question

6. A survey asked 30 people how fast they can type. Their responses were: Fast, slow, very slow, very fast,slow, very fast, slow, fast, very slow, very fast, fast, slow, very slow, very fast, fast, slow, slow, fast,fast, slow, very fast, slow, very fast, slow,fast, very slow, very slow, very fast, fast, slow a.) Should this data be graphed on a bar chart or histogram?b.) Fill in the frequency table below starting with very slow and ending with very fast. Round to one decimal place when needed.

Answer 1

First, count the number of 'very slow' among the responses from the survey, and similarly in the case of 'slow', 'fast', and 'very fast'. The results are shown below

$\begin{gathered} very\text{ slow}\rightarrow5 \\ slow\rightarrow10 \\ fast\rightarrow8 \\ very\text{ fast}\rightarrow7 \end{gathered}$

Then, the relative frequencies are

$\begin{gathered} very\text{ slow}\rightarrow\frac{5}{30}=\frac{1}{6}\approx0.167=16.7\% \\ slow\rightarrow\frac{10}{30}\approx0.333=33.3\% \\ fast\rightarrow\frac{8}{30}\approx0.267=26.7\% \\ very\text{ fast}\rightarrow\frac{7}{30}\approx0.233\approx23.3\% \end{gathered}$

The answers are (top to bottom)

Frequency: 5, 10, 8, 7

Relative frequency: 16.7%, 33.3%, 26.7%, 23.3%