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Question
as part of a class project for her ap statistics class, jessica has collected data on birthdays for roosevelt high schools senior class, as shown in the table below.
which estimate below is closest to the number of seniors who have birthdays in either february or november?
Step1: Calculate total percentage for February
Add the percentage of boys and girls with February birthdays. For February, boys have 9.7% and girls have 9.1%, so the total percentage for February is $9.7\%+9.1\% = 18.8\%$.
Step2: Calculate total percentage for November
Add the percentage of boys and girls with November birthdays. For November, boys have 7.8% and girls have 6.8%, so the total percentage for November is $7.8\%+6.8\%=14.6\%$.
Step3: Calculate combined percentage for February and November
Add the total percentages of February and November: $18.8\% + 14.6\%=33.4\%$.
Step4: Calculate total number of seniors
The total number of boys is 199 and the total number of girls is 156, so the total number of seniors is $199 + 156=355$.
Step5: Calculate number of seniors with birthdays in February or November
Multiply the total number of seniors by the combined percentage: $355\times0.334 = 118.57\approx117$ (rounded to the nearest whole - number).
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117