Question

the bar graph shows the number of representatives from the north, south, central, east, and west regions of a city. according to the bar graph, what is the experimental probability that a randomly chosen representative is from the west region?

Explanation:

Step1: Find total number of representatives

From the bar - graph, the number of representatives from North is \(1\), from South is \(4\), from Central is \(2\), from East is \(3\), and from West is \(2\).
The total number of representatives \(n = 1+4 + 2+3+2=\sum_{i = 1}^{5}x_{i}=12\).

Step2: Find number of representatives from West

The number of representatives from West \(m = 2\).

Step3: Calculate the probability

The probability formula for an experimental probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
Here, the number of favorable outcomes (representatives from West) and the total number of outcomes (all representatives). So \(P=\frac{2}{12}=\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)