Math Problem Statement

what is the average of these numbers: 25.93%, 32.05%, 20.73%, 34.62%, 37.50%, 46.29%, 60%, 17.65%, 41.67%

Solution

To find the average of these percentages, follow these steps:

  1. Add all the percentages: 25.93+32.05+20.73+34.62+37.50+46.29+60+17.65+41.67=316.4425.93 + 32.05 + 20.73 + 34.62 + 37.50 + 46.29 + 60 + 17.65 + 41.67 = 316.44

  2. Divide the sum by the number of values (which is 9 in this case): 316.449=35.6%\frac{316.44}{9} = 35.6\%

So, the average of these percentages is 35.6%.


Would you like any further details on how to calculate averages or have any other questions? Here are some related questions you might find interesting:

  1. How do you calculate the weighted average of a set of percentages?
  2. What is the difference between the arithmetic mean and the geometric mean?
  3. How can you check if your data is skewed using averages?
  4. How do you calculate the average of fractions or decimals?
  5. Can an average be misleading in certain cases? If so, how?

Tip: Always double-check the number of values you're averaging. Missing one value can significantly affect the result!

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Math Problem Analysis

Mathematical Concepts

Averages
Percentages
Arithmetic Mean

Formulas

Average = (Sum of values) / (Number of values)

Theorems

Arithmetic Mean Theorem

Suitable Grade Level

Grades 5-7