Question

amit is playing 12 holes of golf. the table below shows his scorecard. drag the bars to make a relative frequency plot that shows the proportion for each number of strokes. hole 1 2 3 4 5 6 7 8 9 10 11 12 strokes 3 4 3 3 5 3 4 3 4 3 5 5

Explanation:

Step1: Count the frequency of each stroke

• For \(3\) strokes: count the number of times \(3\) appears in the strokes row. \(3\) appears \(6\) times.
• For \(4\) strokes: \(4\) appears \(3\) times.
• For \(5\) strokes: \(5\) appears \(3\) times.

Step2: Calculate the relative frequency

The formula for relative frequency \(rf=\frac{\text{frequency}}{\text{total number of data points}}\). The total number of data points \(n = 12\).

• For \(3\) strokes: \(rf_3=\frac{6}{12}=0.5\)
• For \(4\) strokes: \(rf_4=\frac{3}{12}=0.25\)
• For \(5\) strokes: \(rf_5=\frac{3}{12}=0.25\)

Answer:

The relative - frequency for \(3\) strokes is \(0.5\), for \(4\) strokes is \(0.25\), and for \(5\) strokes is \(0.25\). So, in the relative - frequency plot, the bar for \(3\) strokes should be at \(0.5\), and the bars for \(4\) and \(5\) strokes should be at \(0.25\) each.