Measures of Central Tendency Quiz
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Questions and Answers

What is the mean of the dataset: 1, 2, 3, 4, 5?

  • 1
  • 2
  • 3 (correct)
  • 4

Which measure of central tendency is most affected by outliers?

  • Mean (correct)
  • Mode
  • Range
  • Median

What is the mode of the dataset: 1, 2, 2, 3, 4, 4, 4?

  • 4 (correct)
  • 1
  • 2
  • 3

What is the range of the dataset: 1, 2, 3, 4, 5?

<p>4 (A)</p> Signup and view all the answers

What does a larger variance indicate about a dataset?

<p>It is more spread out (B)</p> Signup and view all the answers

Which measure of central tendency is the middle value in a dataset when it is arranged in order?

<p>Median (D)</p> Signup and view all the answers

Study Notes

Measures of Central Tendency

Mean

  • Also known as the average
  • Calculated by summing all values and dividing by the number of values
  • Sensitive to outliers, which can greatly affect the result
  • Example: 1, 2, 3, 4, 5; Mean = (1 + 2 + 3 + 4 + 5) / 5 = 3

Median

  • Middle value in a dataset when it is arranged in order
  • If the dataset has an even number of values, the median is the average of the two middle values
  • Less affected by outliers compared to the mean
  • Example: 1, 2, 3, 4, 5; Median = 3

Mode

  • Most frequently occurring value in a dataset
  • A dataset can have multiple modes (bimodal or multimodal) or no mode at all
  • Example: 1, 2, 2, 3, 4, 4, 4; Mode = 4

Measures of Dispersion

Range

  • Difference between the largest and smallest values in a dataset
  • Simple to calculate but sensitive to outliers
  • Example: 1, 2, 3, 4, 5; Range = 5 - 1 = 4

Variance

  • Average of the squared differences between each value and the mean
  • Measures the spread of a dataset
  • Larger variance indicates a more spread out dataset
  • Example: 1, 2, 3, 4, 5; Variance = ((1-3)^2 + (2-3)^2 + ... + (5-3)^2) / 5

Measures of Central Tendency

Mean

  • The average value of a dataset
  • Calculated by summing all values and dividing by the number of values
  • Sensitive to outliers, which can greatly affect the result
  • Example calculation: 1, 2, 3, 4, 5; Mean = (1 + 2 + 3 + 4 + 5) / 5 = 3

Median

  • The middle value in a dataset when it is arranged in order
  • If the dataset has an even number of values, the median is the average of the two middle values
  • Less affected by outliers compared to the mean
  • Example calculation: 1, 2, 3, 4, 5; Median = 3
  • Used when the data is not normally distributed or when outliers are present

Mode

  • The most frequently occurring value in a dataset
  • A dataset can have multiple modes (bimodal or multimodal) or no mode at all
  • Example calculation: 1, 2, 2, 3, 4, 4, 4; Mode = 4
  • Used when the dataset is categorical or nominal

Measures of Dispersion

Range

  • The difference between the largest and smallest values in a dataset
  • Simple to calculate but sensitive to outliers
  • Example calculation: 1, 2, 3, 4, 5; Range = 5 - 1 = 4
  • Used to understand the spread of the data

Variance

  • The average of the squared differences between each value and the mean
  • Measures the spread of a dataset
  • Larger variance indicates a more spread out dataset
  • Example calculation: 1, 2, 3, 4, 5; Variance = ((1-3)^2 + (2-3)^2 +...+ (5-3)^2) / 5

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Description

Test your understanding of measures of central tendency, including mean and median, with this quiz. Learn how to calculate and interpret these statistical measures.

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