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:
- What if there were two different scores with the same highest frequency?
- How would you find the median for these quiz scores?
- Can a data set have more than one mode, and if so, what is it called?
- How does the mode differ from the mean and median?
- 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