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a) since data were collected for a quantitative variable, the correct g…

Question

a) since data were collected for a quantitative variable, the correct graph to make is a bar chart.
a) complete the frequency/relative frequency table.

defect typefrequencyrelative frequency
scratched
wrongshapesize
spotsbubbles
other

Explanation:

Step1: Count occurrences

Count the number of times each defect type appears in the data list.

Step2: Calculate relative frequency

Relative frequency = Frequency / Total number of data points. First, find the total number of data points, then calculate the relative - frequency for each defect type.

Let's assume there are \(n\) total data points.
For Scratched:
Suppose the frequency of Scratched is \(f_{1}\). The relative frequency \(r_{1}=\frac{f_{1}}{n}\)
For WrongShapeSize:
Suppose the frequency of WrongShapeSize is \(f_{2}\). The relative frequency \(r_{2}=\frac{f_{2}}{n}\)
For SpotsBubbles:
Suppose the frequency of SpotsBubbles is \(f_{3}\). The relative frequency \(r_{3}=\frac{f_{3}}{n}\)
For Other:
Suppose the frequency of Other is \(f_{4}\). The relative frequency \(r_{4}=\frac{f_{4}}{n}\)

Answer:

Defect TypeFrequencyRelative Frequency
WrongShapeSize[Count of WrongShapeSize][Relative frequency of WrongShapeSize]
SpotsBubbles[Count of SpotsBubbles][Relative frequency of SpotsBubbles]
Other[Count of Other][Relative frequency of Other]

(You need to actually count the occurrences from the given data list to fill in the blanks for frequency and then calculate the relative - frequencies based on the total number of data points.)