Question

the data in the figure below represents the number of stars earned by 140 performers in a talent competition.

(image of a bar graph with number of stars on the x - axis (0,1,2,3,4,5) and percentage of performers (n = 140) on the y - axis, with different bar heights for each number of stars)

how many performers earned exactly 3 stars? (be careful - compare the question wording to the scale on the graph)

Explanation:

Step1: Identify the percentage for 3 stars

From the graph, the percentage of performers who earned 3 stars is 15% (since the bar for 3 stars reaches 15 on the percentage scale).

Step2: Calculate the number of performers

The total number of performers is 140. To find the number of performers who earned 3 stars, we calculate 15% of 140.
The formula for percentage is $\text{Number} = \frac{\text{Percentage}}{100} \times \text{Total}$.
Substituting the values: $\frac{15}{100} \times 140 = 0.15 \times 140 = 21$.

Answer:

21