Math Problem Statement

Solve

Which of the following is a measure of central tendency? Which of the following displays a set of data values through frequency distribution?

Solution

Here are the answers to the questions visible in the image:

  1. Which of the following is a measure of central tendency?

    • Answer: C) Median
    • Explanation: Measures of central tendency include the mean, median, and mode, which represent the central or typical value in a dataset. Variance and skewness are not measures of central tendency.
  2. Which of the following displays a set of data values through frequency distribution?

    • Answer: A) Histogram
    • Explanation: A histogram represents the frequency distribution of numerical data by showing the number of data points within a range of values (bins).

Would you like detailed explanations or further clarifications? Here are 5 follow-up questions you might consider:

  1. What is the difference between measures of central tendency and measures of variability?
  2. How is the median calculated, and when is it more useful than the mean?
  3. Can a histogram represent categorical data, or is it limited to numerical data?
  4. What are the pros and cons of using a stem-and-leaf plot versus a histogram?
  5. Why is understanding skewness important in descriptive statistics?

Tip: When analyzing data, always determine if your measure of central tendency aligns with the nature of your data distribution (e.g., use the median for skewed data).