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Here are the box plots of the number of calories in 20 brands of beef hot dogs, 17 brands of meat hot dogs, and 17 brands of poultry hot dogs. The plot shows

Here Are The Box Plots Of The Number Of Calories In 20 Brands Of Beef Hot Dogs 17 Brands Of Meat Hot Dogs And 17 Brands Of Poultry Hot Dogs The Plot Shows class=

Sagot :

Answer:

A) most poultry hot dog brands have fewer calories than most beef and meat hot dogs, but a few poultry hot dogs have more calories than the median beef and meat hot dog

Step-by-step explanation:

i will refer to the first option as A) and so on

A)

the top of the poultry box represents the 75th percentile, so 75% of poultry values are at or below that number. this is lower than the median for both beef and meat (the middle lines in their respective boxes). if a value is lower than the median, that means that most values in the boxplot in question are higher than that value. here, this means that since the 75th percentile of poultry is less than the 50th percentile of beef/meat, most poultry hot dog brands have fewer calories than most beef and meat hot dogs

since the top line of the poultry chart extends past the mean of the beef/meat hot dogs, there are some poultry hot dogs that have higher calories than the mean for beef/meat

thus, this is the answer

B)

although it is true than some are high and some are low, we can see a general trend that beef and meat are higher than poultry, so this is wrong

C) since the 75th percentile for poultry is less than the median for beef/meet, we can say that >75% of poultry hot dog brands have fewer calories than the median for beef/meat. this is not "about half" so this is wrong

D) since the top of the poultry line extends past the mean for beef/meat, this is wrong

E) box plots do not give mean so this is wrong