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 axis labeling

The x-axis should only include sums 2-12 (from the table), and the y-axis should be labeled "Frequency" (spelled correctly) with values 3-18 matching the table frequencies.

Step2: Verify plotted points

Confirm all (Sum, Frequency) pairs are plotted accurately:
$(2,3), (3,6), (4,9), (5,12), (6,15), (7,18), (8,15), (9,12), (10,9), (11,6), (12,3)$

Step3: Add title and connect points

Use the title "Frequency of Sums from 108 Dice Rolls", then connect the plotted points with a smooth curve.

Answer:

1. Corrected Axes:

• X-axis: Labeled "Sum", marked with values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
• Y-axis: Labeled "Frequency", marked with values 3, 6, 9, 12, 15, 18

1. Accurately Plotted Points: All (Sum, Frequency) pairs from the table are plotted at the correct grid intersections.
2. Final Graph: A smooth curve connects all plotted points, with the title "Frequency of Sums from 108 Dice Rolls" at the top. The resulting curve is symmetric, matching the shape of a normal curve.