Question

6.1 activity: characteristics of the normal curve
directions: create a graph of the data in the table below. place the sums on the x - axis and the frequencies on the y - axis. label your axis and create a title. connect your points with a curve.
the sums of 108 dice rolls

sum	2	3	4	5	6	7	8	9	10	11	12
frequency	3	6	9	12	15	18	15	12	9	6	3

Explanation:

Step1: Correct x-axis labeling

The x-axis should only include the sums from the table: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (remove extra values 1,13-18). Label it "Sum of Two Dice Rolls".

Step2: Correct y-axis labeling

Label the y-axis "Frequency" (matches the table's frequency values: 3,6,9,12,15,18).

Step3: Add graph title

Use the title "Frequency of Sums from 108 Dice Rolls".

Step4: Plot remaining points

Add the missing points:

• Sum=2, Frequency=3
• Sum=10, Frequency=9
• Sum=11, Frequency=6
• Sum=12, Frequency=3

Step5: Connect points with curve

Draw a smooth curve through all plotted points in order of increasing sum.

Answer:

1. Axis Labels: X-axis = "Sum of Two Dice Rolls" (values 2-12), Y-axis = "Frequency" (values 0-18)
2. Graph Title: "Frequency of Sums from 108 Dice Rolls"
3. Plotted Points (x,y): (2,3), (3,6), (4,9), (5,12), (6,15), (7,18), (8,15), (9,12), (10,9), (11,6), (12,3)
4. Final Graph: A smooth, symmetric bell-shaped curve connecting all the plotted points, matching the normal curve characteristic.