Question

museum attendance
the table shows the monthly attendance in thousands at a museum in one country over a 12 - month period.

month	number of people (in thousands)
5	9
6	6
6	12
6	36
7	3
10	21
10	27
11	18
11	24
12	24
12	18
12	3

1. complete the scatter plot to represent the data.
2. identify any outliers in the scatter plot.
3. what situation might have caused an outlier?

4 - 1 construct and interpret scatter plots
(there is a scatter plot with x - axis labeled month (0, 2, 4, 6, 8, 10, 12) and y - axis labeled number of people (in thousands) (0, 9, 18, 27, 36))

Explanation:

Step1: Identify Data Points

First, list the data from the table: (5,6), (5,9), (6,6), (6,12), (6,36), (7,3), (10,21), (10,27), (11,18), (11,24), (12,24), (12,18), (12,3). Wait, no, the table has "Month" (x - axis) and "Number of People (in thousands)" (y - axis). Wait, looking at the scatter plot, the x - axis is "Month" (from 0 - 12) and y - axis is "Number of People (in thousands)" (0 - 36). Let's re - extract: For month 5: 6,9; month 6: 6,12,36; month 7: 3; month 10:21,27; month 11:18,24; month 12:24,18,3. Wait, maybe the table is:

Month	Number of People (thousands)
5	9
6	6
6	12
6	36
7	3
10	21
10	27
11	18
11	24
12	24
12	18
12	3

Step2: Analyze Scatter Plot

In a scatter plot, an outlier is a point that is far from the main cluster of points. Looking at the y - values (number of people) for each month, most of the y - values are in the range of 3 - 30 (approx), but for month 6, one of the points has a y - value of 36. Let's check the scatter plot: the point (6,36) is much higher than the other points around month 6 (which have y - values 6 and 12) and other months' points. Also, (7,3) and (12,3) are low, but (6,36) is a high outlier.

Step3: Confirm Outlier

The main cluster of points for month 6 has y - values 6 and 12. The point (6,36) is far above these. For the lower values, (7,3) and (12,3) are low, but let's see the general trend. The other points for month 12 have y - values 18 and 24, so (12,3) is a low outlier. But the most prominent outlier is (6,36) as it is much higher than the surrounding points.

Answer:

The outlier in the scatter plot is the point with month = 6 and number of people = 36 (or the point (6, 36) on the scatter plot, which is much higher than the other data points around month 6 and other months' data points). For the low outliers, (7, 3) and (12, 3) are also outliers as they are much lower than the other points in their respective month groups, but the most noticeable outlier is (6, 36).