Math Problem Statement

find the average

Find the average (mean) of the numbers in Class A from the stem-and-leaf plot.

Solution

To find the average (mean) of the numbers in Class A from the provided stem-and-leaf plot, we need to extract and list all the numbers:

  • Stem 6: 67, 63, 62
  • Stem 7: 79, 78, 76, 71, 70
  • Stem 8: 84, 80

Numbers from Class A:

  • 67, 63, 62, 79, 78, 76, 71, 70, 84, 80

Now, let's calculate the mean by summing these values and dividing by the total number of values.

I will calculate this for you.The average (mean) of the numbers in Class A is 73.0. This was calculated by summing all the values (which gives 730) and dividing by the number of values (which is 10).

Would you like more details on how this was calculated, or do you have any questions?

Here are 5 related questions to expand on this topic:

  1. How do we calculate the median of these values?
  2. What is the mode of the numbers in Class A?
  3. How can we calculate the range of these numbers?
  4. How does the standard deviation differ from the mean, and how can we calculate it?
  5. What would happen to the mean if we added another number to this data set?

Tip: Always remember, the mean is sensitive to extreme values, meaning outliers can heavily influence it.

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Math Problem Analysis

Mathematical Concepts

Mean (Average)
Stem-and-Leaf Plot

Formulas

Mean = (Sum of all values) / (Number of values)

Theorems

Arithmetic Mean Theorem

Suitable Grade Level

Grades 6-8