Statistics: Mean, Median, Mode, Midrange Quiz
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Questions and Answers

What is the mean of the jersey numbers?

  • 40.6
  • 39.6 (correct)
  • 41.6
  • 42.6
  • Which of the following accurately describes the relationship between the mean, median, and mode for this data set?

  • The mean is less than the median, and the mode does not exist.
  • The mean, median, and mode are all equal.
  • The mean is greater than the median, and the mode does not exist. (correct)
  • The median is greater than the mean, and the mode does not exist.
  • Study Notes

    Mean, Median, Mode, and Midrange

    • Data Set: 78, 81, 54, 2, 25, 13, 65, 23, 77, 15, 30

    Mean

    • Calculate the sum of all numbers in the data set: 78 + 81 + 54 + 2 + 25 + 13 + 65 + 23 + 77 + 15 + 30 = 491
    • Divide the sum by the number of values in the data set (11): 491 / 11 = 44.6
    • Mean: 44.6

    Median

    • Arrange the numbers in ascending order: 2, 13, 15, 23, 25, 30, 54, 65, 77, 78, 81
    • The middle number is the median: 30
    • Median: 30

    Mode

    • No number appears more than once
    • Mode: There is no mode

    Midrange

    • Identify the highest and lowest values in the data set: highest = 81, lowest = 2
    • Find the sum of the highest and lowest values: 81 + 2 = 83
    • Divide the sum by 2: 83 / 2 = 41.5
    • Midrange: 41.5

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    Quiz Team

    Description

    Test your understanding of basic statistical concepts such as mean, median, mode, and midrange with this quiz. Analyze the provided data set and calculate each measure to reinforce your knowledge in statistics.

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