7.5.1.1 Measures of Central Tendency

    Cards (83)

    • Measures of central tendency are statistical values that represent the center or average of a dataset.
    • What are the three main measures of central tendency?
      Mean, median, and mode
    • Steps to calculate the mean of a dataset.
      1️⃣ Sum all values in the dataset
      2️⃣ Count the number of values
      3️⃣ Divide the sum by the number of values
    • The mean is always the most accurate measure of central tendency.
      False
    • Match the measure of central tendency with its definition:
      Mean ↔️ The arithmetic average of all values
      Median ↔️ The middle value when data is ordered
      Mode ↔️ The most frequently occurring value
    • The mean is sensitive to outliers, which can distort its value.
    • The median uses all data points in its calculation.
      False
    • The mode is particularly useful for summarizing categorical data.
    • Why are measures of central tendency used in data analysis?
      To summarize and simplify data
    • The mean is affected by skewed distributions.
    • The median is not affected by outliers, making it robust for skewed data.
    • What is a disadvantage of using the mode as a measure of central tendency?
      It may not be unique
    • How is the median calculated for a dataset with an even number of values?
      Average the two middle values
    • Steps to calculate the mean of the dataset {2, 4, 6, 8, 10}.
      1️⃣ Add all the values: 2 + 4 + 6 + 8 + 10 = 30
      2️⃣ Count the number of values: 5
      3️⃣ Divide the sum by the number of values: 30 / 5 = 6
    • What is the mean of the dataset {2, 4, 6, 8, 10}?
      6
    • The mean uses all data points but is sensitive to outliers.
    • Measures of central tendency are statistical values that represent the center
    • Match the measure of central tendency with its definition:
      Mean ↔️ The arithmetic average of all values
      Median ↔️ The middle value when data is ordered
      Mode ↔️ The most frequently occurring value
    • The mean is sensitive to outliers.
    • The median is not affected by outliers
    • The mode is always unique in a dataset.
      False
    • What is the mean of the dataset {2, 4, 6, 8, 10}?
      6
    • The median of the dataset {2, 4, 6, 8, 10} is 6
    • Measures of central tendency are used to summarize and compare datasets.
    • What is the mean of the dataset {2, 4, 6, 8}?
      5
    • The median of the dataset {2, 4, 6, 8} is 5
    • The mode of the dataset {2, 4, 4, 6, 8} is 4.
    • Steps to calculate the mean
      1️⃣ Add all values in the dataset
      2️⃣ Count the number of values
      3️⃣ Divide the sum by the number of values
    • What is the first step in calculating the mean of a dataset?
      Add all values
    • To calculate the mean, you divide the sum of values by the number of values
    • The sum of the dataset {2, 4, 6, 8, 10} is 30.
    • How many values are in the dataset {2, 4, 6, 8, 10}?
      5
    • What is the mean of the dataset {2, 4, 6, 8, 10}?
      6
    • The mean of the dataset {2, 4, 6, 8, 10} is 6.
    • The sum of the dataset {2, 4, 6, 8, 10} is 30
    • What is the sum of the values in the dataset {2, 4, 6, 8, 10}?
      30
    • The dataset {2, 4, 6, 8, 10} contains 5 values.
    • What is the mean of the dataset {2, 4, 6, 8, 10}?
      6
    • Steps to calculate the mean of a dataset
      1️⃣ Add all the values in the dataset to get the sum of values
      2️⃣ Count the number of values in the dataset
      3️⃣ Divide the sum of values by the number of values
    • The mean is the arithmetic average of a dataset.