Question

question 1: which of the lines (a, b, c, or d) shown above is most likely to be the mean after including the new sequel?
○ a
○ b
● c
○ d

question 2: which of the lines (a, b, c, or d) is most likely to be the median after including the new sequel?
○ a
● b
○ c
○ d

question 3: which of the following descriptive statistics are strongly affected by outliers? choose all that apply.
□ mode
□ median
■ range
■ average

question 4: in which of the cases should majestic theater throw out or change the outlier? choose all that apply.
□ the ticketing system that counted customers had a bug so that it counted too many customers
□ the next 10 weeks had many fewer customers
□ sequels are surefire ways of getting people to go to movies
■ by mistake, the person entering the data added a zero to the end of the number of customers when entering into the spreadsheet

Explanation:

1. For Question 1: The mean is pulled strongly by outliers. A new sequel (likely an outlier with high values) would shift the mean toward the outlier, so line C is the correct choice.
2. For Question 2: The median is resistant to outliers. Adding an outlier will only slightly shift or keep the median near the original central value, so line B is the correct choice.
3. For Question 3: Range depends on the most extreme values (outliers directly change it), and average (mean) is pulled by outliers. Mode and median are resistant to outliers, so Range and Average are the correct choices.
4. For Question 4: Outliers should only be removed if they are data entry errors. A ticketing bug and accidental extra zero are errors, while true low customer counts or high sequel turnout are valid data points.

Answer:

1. C
2. B
3. Range, Average
4. The ticketing system that counted customers had a bug so that it counted too many customers; By mistake, the person entering the data added a zero to the end of the number of customers when entering into the spreadsheet