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Question

A random sample of 45 students were surveyed to study their preferred city for college. Which of the following inferences is incorrect?

Grade 9 Grade 10 Grade 11 Grade 12
City A 10 12 11 12
City B 9 7 13 16
City C 12 13 8 12

A
The least number of students from Grade 9 preferred City B.
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B
Students from Grade 10 preferred City C.
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C
The least number of students from Grade 12 preferred Cities A and C.
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D
Students from Grade 11 preferred City A.
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Solution

The correct option is D Students from Grade 11 preferred City A.
Option A
In grade 10,
City A = 12, City B = 7, and City C = 13.
13 is the highest number.
City C has the highest preference.
Thus, option A is correct.

Option B
In grade 9,
City A = 10, City B = 9, and City C = 12.
9 is the lowest number.
City B has the lowest preference.
Thus, option B is correct.

Option C
In grade 11,
City A = 11, City B = 13, and City C = 8.
13 > 11, 8
13 is the highest number.
City B has the highest preference.
Thus, option C is incorrect.

Option D
In grade 12,
City A = 12, City B = 16, and City C = 12.
A lesser number of students preferred City A and City C.
Thus, option D is correct.

From the given options, only option C is incorrect.

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