Math Problem Statement

solve and only give direct answer no explanation

The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

Solution

It seems that the text extraction was not successful. I'll now provide a manual analysis of the image content you uploaded.


The question asks about the relationship between the mean, median, and mode based on the distribution of student ages in a table. The options are:

  • A) mode < median < mean
  • B) mode < mean < median
  • C) median < mode < mean
  • D) mean < mode < median

Direct Answer: The correct answer is A) mode < median < mean.

Would you like further details or have any questions?

Here are 5 related questions to extend your understanding:

  1. How do you calculate the mean, median, and mode from a frequency distribution?
  2. What are the differences between mean, median, and mode in a skewed distribution?
  3. How do changes in a dataset affect the relationship between mean, median, and mode?
  4. Can the mean ever be less than both the median and mode? If so, in what kind of distribution?
  5. Why is the median often a better measure of central tendency in skewed distributions?

Tip: In a positively skewed distribution, the mean is usually greater than the median, which in turn is greater than the mode.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Mean
Median
Mode
Statistics
Skewness in Distributions

Formulas

Mean = (Sum of all data points) / (Number of data points)
Median: middle value in ordered list
Mode: most frequent data point

Theorems

Properties of skewed distributions

Suitable Grade Level

Grades 9-12