Math Problem Statement
The grades for 30 students on the most recent exam are given in the data table below:
60
90
60
70
70
60
80
80
60
70
80
90
80
90
80
80
70
90
60
70
80
80
90
80
60
70
90
60
70
80
What is the mean score for the exam? Round your answer to 2 decimal places as needed
What is the median score for the exam? Round your answer to 2 decimal places as needed
What is the standard deviation for the exam? Round your answer to 2 decimal places as needed
Solution
- Mean score: 75.00
- Median score: 80.00
- Standard deviation: 10.57
Would you like further details on these calculations or have any questions?
Here are 5 related questions for further exploration:
- How does the mean compare to the mode in this dataset?
- What percentage of students scored above the mean?
- How would the median change if one more student scored 100?
- What is the range of the scores?
- Can we calculate the variance of this dataset?
Tip: The standard deviation gives a sense of how spread out the data is. A smaller standard deviation indicates that the data points tend to be closer to the mean.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Measures of Central Tendency
Measures of Dispersion
Formulas
Mean: (sum of all scores) / (number of scores)
Median: Middle value when data is ordered
Standard Deviation: sqrt((Σ(x - mean)^2) / N)
Theorems
Empirical Rule (for standard deviation interpretation)
Properties of Mean and Median
Suitable Grade Level
Grades 9-12
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