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Police Math Calculating Averages Flashcards

7 cards from real Police Math Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Response times are 2, 4, 6, 100, and 4 minutes due to one outlier. Which average best represents typical performance?

    Answer: The median of 4 minutes

    The median resists the extreme outlier and reflects the typical 4-minute time.

  2. Officer A averages 5 arrests over 2 months and Officer B averages 8 over 4 months. What is the combined average per month?

    Answer: 7

    Total arrests are 10 plus 32 equals 42, divided by 6 months equals 7.

  3. An officer averaged 6 citations per shift over 5 shifts, then 9 over the next 3 shifts. What is the overall average?

    Answer: 7.125

    Total is 30 plus 27 equals 57, divided by 8 shifts equals about 7.125.

  4. A weighted score uses tests at 70% and a final at 30%. With a test average of 80 and a final of 90, what is the weighted average?

    Answer: 83

    0.70 times 80 plus 0.30 times 90 equals 56 plus 27, which is 83.

  5. Daily call counts are 4, 4, 5, 5, and 7. What is the mode of this data set?

    Answer: 4 and 5

    Both 4 and 5 appear twice, making the set bimodal with modes 4 and 5.

  6. An officer's six monthly arrest totals average 7. After removing one month with 2 arrests, what is the new five-month average?

    Answer: 8

    The total is 42, minus 2 equals 40, divided by 5 months equals 8.

  7. Two squads of 10 and 20 officers average 4 and 7 arrests respectively. What is the average across all 30 officers?

    Answer: 6

    Total arrests are 40 plus 140 equals 180, divided by 30 officers equals 6.