Question

Lefties (1.1) Students were asked, “Are you right-handed, left-handed, or ambidextrous?” The responses (R=right-handed, L=left-handed, A=ambidextrous ) are shown here.

a. Make an appropriate graph to display these data.

b. Over 10,000 Canadian high school students took the Census At School survey that year. What percent of this population would you estimate is left-handed? Justify your answer.

Short answer

Part (a) The variable is categorical, although the categories are Right, Left, and Ambidextrous. So choose to make a bar graph.

Part (b) $6\%$

Step-by-step solution

Part (a) Step 1: Given information

Part (a) Step 2: Explanation

Table for the Response and frequency

Graph:

It can be seen from the graph that the majority of the population is right-handed, with only a few communities being left-handed and ambidextrous. Although the categories are Right, Left, and Ambidextrous, the variable is categorical. So choose to make a bar graph.

Part (b) Step 1: Calculation

Total population =50

Left -handed = 3

$$\begin{gathered} \frac{3}{50}=0.06 \\ =6\% \end{gathered}$$

Left-handed people account for $6\%$ of the population. The same proportion is predicted to hold for the total population.