Math Problem Statement

You have a data:

{-15 , -3 , -7 , -12 , -10 , -9, -1, -18 }

the sum of the deviations from the mean is:

Question 24Answer

a. 100

b. 0

c. 229.875

d. 231.125

Solution

The sum of the deviations from the mean of a dataset is always equal to 0. This is because the mean represents the central point of the data, and deviations above and below the mean cancel each other out when summed.

So, the correct answer is:

b. 0

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you calculate the mean of a dataset?
  2. What is the difference between variance and standard deviation?
  3. Why do deviations from the mean always sum to zero?
  4. How can you calculate the sum of squared deviations?
  5. What is the purpose of calculating deviations from the mean?

Tip: Always remember that the sum of deviations from the mean will be zero, which is an important property in statistics.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Deviation

Formulas

Mean = (sum of all data points) / (number of data points)
Deviation from the mean = data point - mean

Theorems

The sum of deviations from the mean is always zero

Suitable Grade Level

Grades 9-12