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Worksheet: Best Measure of Central Tendency

Q1:

A data set has 20 different values: 18 of the values are between 10 and 20 but 2 of the values are greater than 40. Which measure of central tendency would better represent a typical value of the data set?

  • AThe mode, because it is a robust statistic
  • BThe mean, because it considers all the data values
  • CThe median, because it is less affected by outliers

Q2:

Shown are the exam scores of 10 students.

76 63 77 71 81
0 54 93 47 82

Calculate the mean score.

Calculate the median of the scores.

Explain which of these measures of central tendency better represents a typical score in the exam.

  • AThe median, because the mean is skewed too low due to the score of 0
  • BThe mean, because the median is skewed too low due to the score of 0
  • CThe median, because the mean is skewed too high due to the score of 93
  • DThe mean, because the median is skewed too high due to the score of 93