The box plots show Theo’s math scores and language arts scores.
Math
2 box plots. The number line goes from 50 to 100. For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.
Language Arts
About 50% of Theo’s scores are in which range for each subject?
60 to 85 for math; 60 to 80 for language arts
55 to 90 for math; 50 to 90 for language arts
55 to 60 for math; 50 to 60 for language arts
85 to 90 for math; 80 to 90 for language arts
Answers
Answer:
B
Step-by-step explanation:
Given : The box plots for Theo’s math scores and language arts scores.
2 box plots. The number line goes from 50 to 100.
For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80.
For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.
To Find : About 50% of Theo’s scores are in which range for each subject?
60 to 85 for math; 60 to 80 for language arts
55 to 90 for math; 50 to 90 for language arts
55 to 60 for math; 50 to 60 for language arts
85 to 90 for math; 80 to 90 for language arts
Solution:
For math,
the whiskers range from 55 to 90 => ( min 55 , max 90 , range = 90-55 = 45)
the box ranges from 60 to 85. => (Q₁ = 60 and Q₃ = 85)
A line divides the box at 80 => (Q₂ = Median = 80)
For language arts,
the whiskers range from 50 to 90 => ( min 50 , max 90 , range = 90-50 = 40)
the box ranges from 60 to 80. => (Q₁ = 60 and Q₃ = 80)
A line divides the box at 70. => (Q₂ = Median = 70)
50% of Theo’s scores lies between Q₁ and Q₃
60 to 85 for math; 60 to 80 for language arts
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