Aditi likes solving puzzles. She recently started attempting the 'Easy' level Sudoku puzzles. The time she took (in seconds) to solve these puzzles are — 410, 400, 370, 340, 360, 400, 320, 330, 310, 320, 290, 380, 280, 270, 230, 220, 240. The first nine values correspond to Week 1 and the rest to Week 2. (a) Construct a dot plot below showing the data for both weeks. (b) Describe the mean, median, and any observations you may have about the data.
Create a dot plot with time (seconds) on the horizontal axis from 200 to 420. Mark dots for each value: Week 1 values (310-410) and Week 2 values (220-380). Use different colors for each week.
Week 1: Mean = 360 seconds, Median = 360 seconds. Week 2: Mean = 278.75 seconds, Median = 275 seconds. Observations: Aditi improved significantly from Week 1 to Week 2. Her average solving time decreased by about 81 seconds. The data shows learning progress - she got faster with practice.
Explanation
(a) Students should create a visual representation showing the distribution of solving times for each week. (b) Students calculate mean and median for both weeks and observe the improvement pattern.