Question

question 7 (5 points)
the data in the figure below represents the number of stars earned by 360 performers in a talent competition.
how many performers earned exactly 2 stars? (be careful - compare the question wording to the scale on the graph)
question 8 (2*5 points)
based on the histogram above, what are the class width and the sample size?
width =
sample size =

Explanation:

Step1: Find percentage of 2 - star performers

From the first graph, the percentage of performers who earned 2 stars is 35% and the total number of performers $N = 140$.

Step2: Calculate number of 2 - star performers

The number of performers who earned 2 stars is $0.35\times140$.
$0.35\times140 = 49$

Step3: Calculate class - width for second graph

In the second histogram, the class - width is found by subtracting the lower limit of one class from the lower limit of the next class. For example, $3 - 1=2$.

Step4: Calculate sample size for second graph

The sample size is the sum of the frequencies. $4 + 7+10 + 8+3+2=34$.

Answer:

Question 7: 49
Question 8: width = 2, Sample size = 34