Segmented Bar Graphs — Quiz

Question 4 • Statistical Reasoning

At a three-day festival, a vendor tracks merchandise sales. Day 1 Day 2 Day 3 T-Shirt 129 207 242 Sweatshirt 111 55 133 Hat 60 148 125 Determine which segmented bar graph using the columns best matches the table.

Answer

Image with description A segmented bar graph titled Sales by Day has a vertical axis labeled from 0 percent to 500 percent in increments of 100 percent. The horizontal axis has 3 bars labeled Day 1, Day 2, and Day 3. The legend indicates the segments represent T-Shirt, Sweatshirt, and Hat. The bar for Day 1 has T-Shirt segment from 0 percent to 130 percent, Sweatshirt segment from 130 percent to 240 percent, and Hat segment from 240 percent to 300 percent. The bar for Day 2 has T-Shirt segment from 0 percent to 210 percent, Sweatshirt segment from 210 percent to 265 percent, and Hat segment from 265 percent to 410 percent. The bar for Day 3 has T-Shirt segment from 0 percent to 60 percent, Sweatshirt segment from 60 percent to 210 percent, and Hat segment from 210 percent to 335 percent.

Image with description A segmented bar graph titled Sales by Day has a vertical axis labeled from 0 percent to 100 percent in increments of 20 percent. The horizontal axis has 3 bars labeled T-Shirt, Sweatshirt, and Hat. The legend indicates the segments represent Day 1, Day 2, and Day 3. The bar for T-Shirt has Day 1 segment from 0 percent to 23 percent, Day 2 segment from 23 percent to 59 percent, and Day 3 segment from 59 percent to 100 percent. The bar for Sweatshirt has Day 1 segment from 0 percent to 37 percent, Day 2 segment from 37 percent to 56 percent, and Day 3 segment from 56 percent to 100 percent. The bar for Hat has Day 1 segment from 0 percent to 17 percent, Day 2 segment from 17 percent to 63 percent, and Day 3 segment from 63 percent to 100 percent.

Image with description A segmented bar graph titled sales by day has day 1, day 2, and day 3 on the x-axis, and percent on the y-axis. Day 1: A bar segment labeled t-shirt goes from 0 to 40 percent; sweatshirt, 40 to 80 percent; hat, 80 to 100 percent. Day 2: T-shirt, 0 to 50 percent; sweatshirt, 50 to 62 percent; hat, 62 to 100 percent. Day 3: T-shirt, 0 to 48 percent; sweatshirt, 48 to 75 percent; hat, 75 to 100 percent.

Image with description A segmented bar graph titled Sales by Day has a vertical axis labeled from 0 percent to 160 percent in increments of 40 percent. The horizontal axis has 3 bars labeled T-Shirt, Sweatshirt, and Hat. The legend indicates the segments represent Day 1, Day 2, and Day 3. The bar for T-Shirt has Day 1 segment from 0 percent to 40 percent, Day 2 segment from 40 percent to 93 percent, and Day 3 segment from 93 percent to 142 percent. The bar for Sweatshirt has Day 1 segment from 0 percent to 36 percent, Day 2 segment from 36 percent to 57 percent, and Day 3 segment from 57 percent to 83 percent. The bar for Hat has Day 1 segment from 0 percent to 17 percent, Day 2 segment from 17 percent to 56 percent, and Day 3 segment from 56 percent to 80 percent.

Explanation

For a segmented bar graph using the columns, each bar represents one day and totals 100%. Day 1 had 300 sales, so the shares were about 43% T-shirts, 37% sweatshirts, and 20% hats. Day 2 had 410 sales, giving about 50%, 13%, and 36%; Day 3 had 500 sales, giving about 48%, 27%, and 25%. These proportions best match choice C, the graph with Day 1, Day 2, and Day 3 bars.

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