Detective Brown is reviewing the number of arrests his officers made over the last year. He finds that the median number of yearly arrests is 210. Which of the following statements are true?

A. All officers had more than 210 arrests last year.
B. All officers had at least 210 arrests last year.
C. Half the officers had less than 210 arrests last year, half had more than 210.
D. All officers had exactly 210 arrests last year.
E. None of the above.

The median number of yearly arrests is 210. The median divides the data into two equal halves. Half of the officers had less than 210 arrests last year, and the other half had more than 210 arrests. Therefore, the statement 'Half the officers had less than 210 arrests last year, half had more than 210' is true.

However, we cannot conclude that all officers had more than 210 arrests or at least 210 arrests last year. The median only represents the middle value, and it is possible for some officers to have fewer arrests than the median.

Similarly, we cannot conclude that all officers had exactly 210 arrests last year. The median does not provide information about the exact values of the data points.

Therefore, the true statement is that 'Half the officers had less than 210 arrests last year, half had more than 210.' None of the other statements are true.

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