Question

1. odakota recorded the number of grades 7 and 8 students born in each season.

number of students born in each season

season	summer	autumn	winter	spring
grade 8	4	9	14	6

a) which types of graphs could be used to display these data? explain your choices.
b) display the data using one of your choices from part a.
c) write a convincing argument based on the graph. justify your argument.

Explanation:

Part a

1. Double Bar Graph: This graph can compare the number of Grade 7 and Grade 8 students across each season, as it allows side-by-side bars for each grade within each season category, making group comparisons clear.
2. Stacked Bar Graph: This graph can show the total number of students (Grades 7 + 8) born in each season, while also displaying the breakdown between the two grades within each season.
3. Grouped Bar Graph: Identical in function to the double bar graph, it organizes data by season, with paired bars for each grade to highlight differences between the two grade levels per season.

Part b

A double bar graph is created with:

• X-axis labeled "Season" (Summer, Autumn, Winter, Spring)
• Y-axis labeled "Number of Students" (scaled from 0 to 15)
• For each season, two bars: one for Grade 7 (e.g., blue) and one for Grade 8 (e.g., orange), with heights matching the table values:
• Summer: Grade 7 = 11, Grade 8 = 4
• Autumn: Grade 7 = 10, Grade 8 = 9
• Winter: Grade 7 = 7, Grade 8 = 14
• Spring: Grade 7 = 5, Grade 8 = 6

In text form, the graph can be represented as:

Season	Grade 7 Bar Height	Grade 8 Bar Height
Autumn	10	9
Winter	7	14
Spring	5	6

Part c

Argument: Grade 8 has a significantly higher number of students born in Winter compared to Grade 7, while Grade 7 has far more students born in Summer than Grade 8.
Justification: From the double bar graph, Grade 8 has 14 Winter-born students, which is 7 more than Grade 7's 7 Winter-born students. Conversely, Grade 7 has 11 Summer-born students, which is 7 more than Grade 8's 4 Summer-born students. These are the largest gaps between the two grades across all seasons, showing a clear difference in birth season distributions for the two grade levels.

Answer:

a) Suitable graphs include:

• Double/Grouped Bar Graph: Ideal for comparing the number of Grade 7 and Grade 8 students across each season with side-by-side bars.
• Stacked Bar Graph: Useful for showing total students per season while breaking down the count by grade.

b) (Text representation of double bar graph as shown in the table above; a visual graph would have paired bars for each season with heights matching the table values.)

c) Argument: Grade 8 has far more Winter-born students, while Grade 7 has more Summer-born students.
Justification: Grade 8 has 14 Winter-born students (7 more than Grade 7's 7), and Grade 7 has 11 Summer-born students (7 more than Grade 8's 4), the largest gaps between the two grades across all seasons.