Math Problem Statement

Find the mean of the numbers: 16, 9, 21, 29, 31, 35, 8, 37, 24, 25, 14, 23, 1.

Solution

To find the mean of the numbers shown in the image, follow these steps:

Numbers given:

16, 9, 21, 29, 31, 35, 8, 37, 24, 25, 14, 23, 1

Steps:

  1. Add all the numbers together:

    16+9+21+29+31+35+8+37+24+25+14+23+1=27316 + 9 + 21 + 29 + 31 + 35 + 8 + 37 + 24 + 25 + 14 + 23 + 1 = 273

  2. Count the number of values: There are 13 values.

  3. Calculate the mean:

    Mean=27313=21\text{Mean} = \frac{273}{13} = 21

So, the mean of the numbers is 21.

Would you like further details or explanations on this calculation?

Here are 5 related questions for practice:

  1. How would the mean change if you added the number 50 to the list?
  2. What is the median of the numbers given?
  3. What is the mode of the numbers provided?
  4. How would you calculate the range of this data set?
  5. Can you find the standard deviation for this set of numbers?

Tip: The mean is sensitive to outliers, so large or small numbers can significantly affect the result.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Statistics

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-7