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Problem of the Week
Problem B
Buckets of Golf Balls

Golfers will practice their golf game at a driving range. At a driving range, they hit practice balls by the bucket.

Annie works at a local driving range. Over a period of two weeks, she records the number of buckets of balls that she hands out each day. The table below displays her data.

Day Week 1 Week 2
Monday \(11\) \(14\)
Tuesday \(25\) \(32\)
Wednesday \(27\) \(34\)
Thursday \(34\) \(37\)
Friday \(44\) \(50\)
Saturday \(57\) \(70\)
Sunday \(52\) \(63\)

  1. A stacked bar graph is given for Week \(1\), showing the percentage of each day’s buckets relative to the total (\(250\) buckets) for that week. For example, on Monday Annie gives out \(11\) buckets, which is \(\frac{11}{250} = 4.4\%\) of the total; on Tuesday she gives out \(25\) buckets, which is \(\frac{25}{250}=10.0\%\) of the total.

    The vertical axis of the graph ranges from 0 to 100 by 10s. The horizontal axis has Week 1 and Week 2. Above Week 1 there are seven rectangular blocks, one for each day of the week, stacked one on top of the other with Monday at the bottom. The top of the Monday block is at a height of around 5. The tops of the Tuesday through Sunday blocks lie at approximate heights as follows: Tuesday at 15, Wednesday at 25, Thursday at 39, Friday at 56, Saturday at 79, and Sunday at 100.

    Verify that the remaining blocks of the graph accurately portray the given data for Week \(1\) by calculating the remaining daily percentages.

  2. Calculate the daily percentages for Week \(2\), and create a similar stacked bar graph for Week \(2\). Round percentages to one decimal place.

  3. By examining the bar graphs, what conclusions could you draw about the number of buckets given out each day?

Themes: Data Management, Number Sense