Question

the relative frequency table given describes the orders that students made at a class barbeque and whether they used ketchup as a condiment.

	ketchup	no ketchup	total
hotdog	21%	49%	70%
total	27%	73%	100%

based on the given information, which of the following segmented bar graphs summarises the data?

Explanation:

Step1: Analyze Hamburger segment

For Hamburgers: Ketchup = 6%, No Ketchup = 24%. So the blue (Ketchup) portion is 6% (small slice), orange (No Ketchup) is 24% of the 30% total bar, meaning orange makes up 80% of the hamburger bar, blue 20%.

Step2: Analyze Hotdog segment

For Hotdogs: Ketchup = 21%, No Ketchup = 49%. So the blue (Ketchup) portion is 21% of the 70% total bar (30% of the hotdog bar), orange (No Ketchup) is 49% of the 70% total bar (70% of the hotdog bar).

Step3: Match to bar graphs

Compare the segment sizes to the options: the fourth graph has a small blue segment (20%) for hamburgers, and a larger blue segment (30%) for hotdogs, matching the calculated proportions.

Answer:

The fourth segmented bar graph (bottom-most one labeled "BBQ Orders") summarises the data.