Age, x
Hours​ Studying, y
​Age, x
Hours​ Studying, y
​Age, x
Hours​ Studying, y
18
4.2
19
5.1
22
2.12.1
18
1.11.1
19
2.3
22
3.6
18
4.64.6
20
1.71.7
24
5.45.4
18
3.1
20
6.26.2
25
4.8
18
5.25.2
20
3.2
25
3.9
18
3.2
20
5.3
26
5.2
19
2.8
21
2.5
26
4.2
19
2.3
21
6.36.3
3535
8.38.3
19
3.2
21
4.2a) Draw a scatter diagram of the data. Choose the correct graph below.
A.
18
27
36
0
4
8
Age
Study Time
 


A scatter diagram has a horizontal axis labeled Age from 18 to 36 in increments of 9 and a vertical axis labeled Study Time from 0 to 8 plus in increments of 1. A series of plotted are clustered between horizontal coordinates 18 and 27 and vertical coordinates 1 and 6.5. An outlier is plotted at (35, 8.3). All coordinates are approximate.
B.
18
27
36
0
4
8
Age
Study Time
 


A scatter diagram has a horizontal axis labeled Age from 18 to 36 in increments of 9 and a vertical axis labeled Study Time from 0 to 8 plus in increments of 1. A series of plotted are clustered between horizontal coordinates 18 and 27 and vertical coordinates 1 and 6.5. All coordinates are approximate.
C.
18
27
36
0
4
8
Age
Study Time
 



To properly determine which scatter diagram fits the data, we need to carefully examine the data points:

### Given dataTo properly determine which scatter diagram fits the data, we need to carefully examine the data points:

### Given 
- Age \(x = [18, 19, 22, 18, 19, 22, 18, 20, 24, 18, 20, 25, 18, 20, 25, 18, 20, 26, 19, 21, 26, 19, 21, 35, 19, 21]\)
- Study Time \(y = [4.2, 5.1, 2.12, 1.11, 2.3, 3.6, 4.64, 1.7, 5.4, 3.1, 6.2, 4.8, 5.2, 3.2, 3.9, 3.2, 5.3, 5.2, 2.8, 2.5, 4.2, 2.3, 6.3, 8.3, 3.2, 4.2]\)

### Steps:
- The ages are spread mostly between 18 and 26, with one outlier at age 35.
- The study times range between 1.1 and 8.3, with a general cluster between 1 and 6.5.
- There is one outlier at \( (35, 8.3) \).

### Scatter diagram analysis:
- **Graph A** and **Graph B** both describe a similar cluster of points between ages 18 and 27 with study times between 1 and 6.5.
- **Graph A** mentions an outlier at \( (35, 8.3) \), which matches the dataset, while **Graph B** lacks any mention of this outlier.
  
Thus, **Graph A** seems to be the correct choice because it includes the outlier.

Would you like more details on creating a scatter plot or analyzing this data further? 

---

### Related questions:
1. How can you calculate the correlation between age and study time from the data?
2. What is the equation of the best-fit line for this dataset?
3. How do outliers affect the correlation in a scatter plot?
4. Can you predict the study time for someone aged 30 based on this data?
5. What is the range and median of the study times?

### Tip:
Always look for outliers in scatter plots, as they can significantly influence the correlation and regression analysis.

Age, x Hours Studying, y Age, x Hours Studying, y Age, x Hours Studying, y 18 4.2 19 5.1 22 2.12.1 18 1.11.1 19 2.3 22 3.6 18 4.64.6 20 1.71.7 24 5.45.4 18 3.1 20 6.26.2 25 4.8 18 5.25.2 20 3.2 25 3.9 18 3.2 20 5.3 26 5.2 19 2.8 21 2.5 26 4.2 19 2.3 21 6.36.3 3535 8.38.3 19 3.2 21 4.2a) Draw a scatter diagram of the data.

Analyze the scatter plot of study time versus age, focusing on data between ages 18 to 35 and study times ranging from 1.1 to 8.3 hours. This includes recognizing clusters, identifying outliers, and selecting the correct graph representation. Suitable for high school students learning about statistics.

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