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.

Flashcards

Mean

The average value of a data set, calculated by summing all values and dividing by the number of values.

Median

The middle value of a data set when sorted in order.

Mode

The value that appears most frequently in a data set.

Midrange

The average of the highest and lowest values in a data set.

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Data Set

A collection of values used for statistical analysis.

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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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