Math Problem Statement

The length​ (in words) of seven articles from a particular newspaper are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why. 1154 1229 1123 1279 820 1371 1277

Question content area bottom Part 1 Find the mean word count. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean word count is    enter your response here. ​(Round to one decimal place as​ needed.) B. There is no mean word count.

Solution

The mean word count is 1179.0 words.

Would you like to go over the median and mode next, or have any other questions?

Here are 5 follow-up questions you might consider:

  1. How do we calculate the median for a dataset?
  2. Is the mode always applicable to any set of data?
  3. Can the mean be a non-integer value even if all data points are integers?
  4. How can outliers affect the mean, median, and mode?
  5. Why is rounding important when reporting statistical measures?

Tip: The mean is sensitive to outliers, while the median provides a more robust measure when extreme values are present.

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Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Central Tendency
Mean
Median
Mode

Formulas

Mean = (Sum of all values) / (Number of values)
Median = Middle value of ordered data set
Mode = Most frequent value in the data set

Theorems

Central Limit Theorem (in general context for mean and median relevance)

Suitable Grade Level

Grades 6-8