3. The table shows the data that Principal Sanders collected from 20 randomly selected students.
Color Number of students choosing color
Red 5
Blue 7
Green 3
Black 4
Brown 1
Use the table to answer these questions.
Part A. Are the data considered a sample or a population? Explain. (2 points)
Part B. Vice Principal Blake randomly selected 20 other students at Jefferson High School and asked them to choose a uniform color. His results showed that 38% of the students want blue. Compare this to the percentage of students who wanted blue in Principal Sanders's survey. How do these results illustrate sampling variability? (2 points)
Part C. Does the sampling variability mean that Principal Sanders's results are wrong? Explain. (2 points)
Part D. Based on Principal Sanders's results, what is one inference you can make about all the students at Jefferson High School? (2 points)