A box and whisker graph showing beef hotdogs with high and low of 110-190 and meat hotdogs with high and low of 105-195 and poultry hot dogs with 85-170. This suggests that poultry dogs have fewer calories per dog than either beef or meat hotdogs. Yet, one dietician claims that some hotdogs made of poultry have 150% of the calories of some hotdogs made of beef. Can this claim be correct.

Question

A box and whisker graph showing beef hotdogs with high and low of 110-190 and meat hotdogs with high and low of 105-195 and poultry hot dogs with 85-170. This suggests that poultry dogs have fewer calories per dog than either beef or meat hotdogs. Yet, one dietician claims that some hotdogs made of poultry have 150% of the calories of some hotdogs made of beef. Can this claim be correct.

I say yes because 150% times the lowest in the poultry gives a result that falls in the beef range. Is this correct?

Answer 1

To determine if the claim made by the dietician is correct, we need to examine the calorie ranges of both poultry and beef hotdogs.

According to the information provided, the calorie range for poultry hotdogs is 85-170. If we take 150% of the lowest calorie value (85), we get:

150% * 85 = 1.5 * 85 = 127.5

So based on this calculation, the dietician's claim suggests that there could be poultry hotdogs with up to 127.5 calories.

Now let's compare this to the calorie range of beef hotdogs, which is 110-190. We can see that the range of calories for beef hotdogs is already higher than the calculated value for poultry hotdogs (127.5).

Therefore, it is possible for some poultry hotdogs to have 150% of the calories of some beef hotdogs, as the calculated value for poultry falls within the calorie range of beef hotdogs.

Hence, your reasoning is correct, and the claim made by the dietician can indeed be correct.