Math Problem Statement

What is the Population Variance for the following numbers:

33, 55, -5, 18, 17, 87, 8, 45, 61

Level of difficulty = 2 of 2

Please format to 2 decimal places. Use python

Solution

The population variance for the given numbers is 758.25.

Would you like further details on how the population variance is calculated or have any other questions?

Here are 5 related questions for further exploration:

  1. How does population variance differ from sample variance?
  2. What is the standard deviation for this set of numbers?
  3. How does the mean affect the variance in a dataset?
  4. Can you calculate the sample variance for the same set of data?
  5. How does outlier data influence the variance?

Tip: The standard deviation is simply the square root of the variance and is useful for understanding data spread in more practical terms.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Variance
Population Variance
Mean

Formulas

Mean (μ) = (Σx) / N
Population Variance (σ^2) = (Σ(x - μ)^2) / N

Theorems

-

Suitable Grade Level

Grades 9-12

Related Recommendation

Calculate Population Variance for Data Set: 48, 81, 55, 7, 35, 89, 8, 47, -4

Find Population Variance for Data Set {12, 17, 23, 13, 20, 16, 20, 17, 15, 18}

Calculate Population Variance for Data Set: 77, 58, 99, -5, 58

Calculate the Sample Variance of the Data Set: 9, −4, 11, 11, 9, 9, 11

Calculating Variance for the Data Set 4, 8, 15, 12, 8, 13