9.2.1 Descriptive Statistics

    Cards (26)

    • Descriptive statistics include measures of central tendency, dispersion, and shape
    • The median is the most frequently occurring value in a data set
      False
    • What are the three measures of central tendency?
      Mean, median, mode
    • Match the measure of central tendency with its definition:
      Mean ↔️ Average of all values
      Median ↔️ Middle value when data is ordered
      Mode ↔️ Most frequently occurring value
    • The median of the data set \[3, 5, 7, 10] is 6
    • The mean is calculated by summing all values and dividing by the number of values
    • Steps to calculate the mean, median, and mode
      1️⃣ Sum all values (Mean)
      2️⃣ Sort the data (Median)
      3️⃣ Find the middle value (Median)
      4️⃣ Identify the most frequent value (Mode)
    • What is the formula for calculating the mean of a dataset?
      x‾=\overline{x} =1n∑i=1nxi \frac{1}{n} \sum_{i = 1}^{n} x_{i}
    • The median is the middle value when the data is sorted
    • The mode is the most frequently occurring value in a dataset.
    • What is the mean of the dataset [3, 5, 5, 7, 10]?
      6
    • The median of the dataset [3, 5, 5, 7, 10] is 5
    • The mode of the dataset [3, 5, 5, 7, 10] is 5.
    • What is the range of a dataset?
      Highest value - lowest value
    • The standard deviation is the average deviation from the mean
    • What is the range of the dataset [2, 4, 6, 8, 10]?
      8
    • The standard deviation of the dataset [2, 4, 6, 8, 10] is approximately 3.16.
    • What is the formula for calculating the range of a dataset?
      \text{Range} = \text{Max} - \text{Min}</latex>
    • The variance is the average squared deviation from the mean
    • What is the standard deviation formula for a sample?
      \text{Standard Deviation} = \sqrt{\text{Variance}}</latex>
    • For the dataset [3, 6, 7, 8, 9], the range is 6.
    • What is the mean of the dataset [3, 6, 7, 8, 9]?
      6.6
    • The variance of the dataset [3, 6, 7, 8, 9] is approximately 6.3
    • What is the standard deviation of the dataset [3, 6, 7, 8, 9]?
      2.51
    • Match the descriptive statistic with its interpretation:
      Mean ↔️ Typical score
      Range ↔️ Spread of scores
      Standard Deviation ↔️ Spread relative to the mean
    • A mean score of70 with a standard deviation of 10 indicates scores are typically around 70 with a spread of 10 points.