Math Problem Statement
what is the average percent of this set of percentages? 100% 0% 82% 100% 88% 50% 60% 79% 83% 86% 78% 65% 98% 96% 52% 92% 83% 68% 88% 70% 60% 68% 85% 86% 80% 83% 98% 100% 67% 60% 103% 73% 0% 60% 75% 37% 88% 75% 72% 73% 75% 68% 83% 80% 75% 85% 90% 48% 90% 70% 75% 90% 83% 98% 40% 90% 0% 78% 53%
Solution
To calculate the average percentage of this data set, we add up all the values and then divide by the total number of entries. Here is the step-by-step calculation:
- Sum of all percentages: Add each percentage value.
- Count of values: Find the total number of entries.
- Average calculation: Divide the sum by the count.
Let's proceed with these steps:
Step 1: Sum of All Percentages
The total sum of all percentages in the list is .
Step 2: Count of Values
There are 57 values in total.
Step 3: Average Calculation
Final Answer
The average percentage is approximately 81.16%.
Would you like a breakdown of this process or have any questions?
Here are five questions related to this topic:
- How would the average change if the highest value was removed?
- What is the median of this data set?
- How does the inclusion of 0% values affect the average?
- What is the range of percentages in this data set?
- How would you calculate a weighted average if each percentage had a different weight?
Tip: Always check for outliers or unusually high/low values that might skew the average.
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Math Problem Analysis
Mathematical Concepts
Statistics
Averages
Formulas
Average = Sum of all values / Number of values
Theorems
-
Suitable Grade Level
Grades 6-8
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