felicia and gabriella are on the hamilton middle school basketball team. the box plots show the number of…
felicia and gabriella are on the hamilton middle school basketball team. the box plots show the number of points they scored in 8 basketball games. which statement is best supported by the information in the box plots? a the first quartile for felicias data is greater than the first quartile for gabriellas data. b the median for felicias data is greater than the median for gabriellas data. c the range of the data for felicia is greater than the range of the data for gabriella. d gabriellas maximum number of points scored in one game is less than felicias maximum number of points scored in one game.
Answer
Explanation:
Step1: Identify first - quartile values
For Felicia, first - quartile ($Q_1$) is around 10. For Gabriella, $Q_1$ is around 5. So, the first quartile for Felicia's data is greater than the first quartile for Gabriella's data.
Step2: Check median values
Felicia's median is around 15, Gabriella's median is also around 15. So, B is incorrect.
Step3: Check range values
Felicia's range (max - min) is around 25 - 5=20. Gabriella's range is around 30 - 0 = 30. So, C is incorrect.
Step4: Check maximum values
Felicia's maximum is around 25, Gabriella's maximum is around 30. So, D is incorrect.
Answer:
A. The first quartile for Felicia's data is greater than the first quartile for Gabriella's data.