Questions: In a survey, 40 people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table 2.8. Construct a line graph. Number of times in shop Frequency 0 5 1 12 2 14 3 9 Table 2.8 Select the correct line graph below.

In a survey, 40 people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table 2.8. Construct a line graph.

Number of times in shop Frequency
0 5
1 12
2 14
3 9

Table 2.8
Select the correct line graph below.

Transcript text: 2.4 In a survey, 40 people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table 2.8. Construct a line graph. \begin{tabular}{|l|l|} \hline Number of times in shop & Frequency \\ \hline 0 & 5 \\ \hline 1 & 12 \\ \hline 2 & 14 \\ \hline 3 & 9 \\ \hline \end{tabular} Table 2.8 Select the correct line graph below.

Solution

Solution Steps

To construct a line graph from the given data, we need to plot the number of times in the shop on the x-axis and the frequency on the y-axis. We will use Python's matplotlib library to create the line graph.

Step 1: Define the Data

We start by defining the data given in the problem. The number of times in the shop and their corresponding frequencies are:

\[ \begin{array}{|c|c|} \hline \text{Number of times in shop} & \text{Frequency} \\ \hline 0 & 5 \\ \hline 1 & 12 \\ \hline 2 & 14 \\ \hline 3 & 9 \\ \hline \end{array} \]

Step 2: Plot the Data

Next, we plot the data points on a graph with the number of times in the shop on the x-axis and the frequency on the y-axis. The points to be plotted are:

\[ (0, 5), (1, 12), (2, 14), (3, 9) \]

Step 3: Draw the Line Graph

We connect the data points with lines to form the line graph. Each point \((x, y)\) is connected to the next point in the sequence.