Spiral Review 27. Sixty-three of the 105 students in the band said that their favorite class was music. Is this sampling representative of the entire school? If so, how many of the 848 students who attend the school would say music is their favorite class? 7.SP. 1
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To determine if the sampling is representative, we look at the ratio of music fans in the band: 63 out of 105, which is approximately 60%. If we apply this percentage to the entire school population of 848 students, we can expect about 508 students (60% of 848) to say music is their favorite class. This suggests a strong interest in music among the students at the school! However, ensure that the band demographics reflect those of the entire school. If the band is mostly made up of students who voluntarily choose to play an instrument, that could inflate the numbers significantly. Always consider the broader context before making assumptions based solely on a small sample!
