Math Problem Statement

The next 7 questions will use the following data:

Students in a class were given a quiz. These were their scores:

7 8 10 9 8 8 4 6 7 8 9 8 6 8 5

What is the mode for these students' quiz scores?

Solution

The mode is the most frequently occurring value in a data set. To find the mode, we observe which quiz score appears the most often among the scores provided:

Scores: 7, 8, 10, 9, 8, 8, 4, 6, 7, 8, 9, 8, 6, 8, 5

By counting each score:

  • 4 appears 1 time
  • 5 appears 1 time
  • 6 appears 2 times
  • 7 appears 2 times
  • 8 appears 6 times
  • 9 appears 2 times
  • 10 appears 1 time

The score 8 appears the most frequently, with 6 occurrences.

Mode = 8

Would you like further explanation on finding the mode, or have any questions?

Here are 5 questions to deepen understanding:

  1. What if there were two different scores with the same highest frequency?
  2. How would you find the median for these quiz scores?
  3. Can a data set have more than one mode, and if so, what is it called?
  4. How does the mode differ from the mean and median?
  5. How would removing the score of 10 affect the mode?

Tip: When data has multiple frequent values, it’s known as multimodal if it has more than one mode.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mode

Formulas

Mode = most frequently occurring value

Theorems

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Suitable Grade Level

Grades 6-8