QUESTION IMAGE
Question
the table shows the attendance in thousands at museums in one country over a 12 - month period. make a scatter plot to represent the data. complete parts a - c.
click here to view the table of attendance.
click here to view the incomplete scatter plot.
b. identify any outliers in the scatter plot. select all that apply.
a. (12,4)
b. (3,15)
c. (9,21)
d. (10,21)
e. (6,42)
f. (3,6)
c. what situation might have caused an outlier? select all that apply.
a. june may be busy because children in different states may get out of school at different times in june.
b. the museum might close for holidays in december.
c. august may be busy because there are summer tourists.
d. the museum might close for holidays in november.
e. the museum might close for maintenance in july.
f. april may be busy because there are school holidays.
Part b
An outlier is a data point that is significantly different from other data points. By analyzing the scatter plot (even with partial info) and the coordinates:
- (12,4): Likely an outlier if most other points have higher or different attendance.
- (9,21): If other points don't cluster around this, it's an outlier.
- (6,42): Significantly higher than others, so outlier.
- (3,15), (10,21), (3,6) don't fit the outlier pattern as well as the selected ones.
- Option A: June (month 6) having different school out times could increase attendance (matches (6,42) outlier).
- Option B: December (month 12) closing for holidays could lower attendance (matches (12,4) outlier).
- Option D: November (month 11, but (9,21) is month 9; maybe typo or related to low attendance in Nov/Dec, but D says Nov close, which could affect. Wait, re - evaluate:
- A: June (month 6) busy due to school out times – causes high attendance (outlier (6,42)).
- B: December (month 12) close for holidays – causes low attendance (outlier (12,4)).
- D: November (month 11, but (9,21) is month 9; maybe error, but if museum closes in Nov, could affect Oct - Dec. However, more accurately:
- A: June (month 6) – high attendance outlier.
- B: December (month 12) – low attendance outlier.
- D: November (month 11) – if closing, could lead to low attendance around that time, but (9,21) is high. Wait, maybe initial analysis:
- A: June busy (school out times) → high attendance (6,42) is outlier.
- B: December close for holidays → low attendance (12,4) is outlier.
- D: November close for holidays → could lead to low attendance in Nov/Dec, but (9,21) is high. Maybe the correct ones are A, B, D? Wait, no, let's re - check:
- A: June (month 6) – (6,42) is high, so A is valid.
- B: December (month 12) – (12,4) is low, so B is valid.
- D: November (month 11) – if museum closes in Nov, attendance in Nov/Dec could be low, so D is valid? Wait, the outlier (9,21) is high. Maybe I made a mistake. Let's re - examine the options:
- A: June (month 6) busy because children in different states may get out of school at different times in June. This can cause a high attendance (like (6,42)), so A is correct.
- B: The museum might close for holidays in December. This can cause low attendance (like (12,4)), so B is correct.
- D: The museum might close for holidays in November. If it closes in November, attendance in October - December could be affected, maybe leading to low attendance around that time, which could be related to the low outlier (12,4) or other low points.
- Wait, but the options:
- A: Correct (causes high in June).
- B: Correct (causes low in Dec).
- D: Correct (causes low in Nov/Dec).
- Wait, but initial options:
- A, B, D are the most appropriate. But let's check again:
- A: June (month 6) – high attendance outlier (6,42).
- B: December (month 12) – low attendance outlier (12,4).
- D: November (month 11) – if museum closes in Nov, attendance in Nov/Dec could be low, so D is correct.
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A. (12,4), C. (9,21), E. (6,42)