Question
What is the Population Variance for the following numbers: 55, 37, 25, 15, 60 Level of difficulty = 1 of 2 Please format to 2 decimal places.
126
likes631 views
Answer to a math question What is the Population Variance for the following numbers: 55, 37, 25, 15, 60 Level of difficulty = 1 of 2 Please format to 2 decimal places.
Clarabelle
4.794 Answers
1. Calculate the mean (average) of the numbers:
\bar{x} = \frac{55 + 37 + 25 + 15 + 60}{5} = \frac{192}{5} = 38.4
2. Subtract the mean and square the result for each number (i.e., \((x_i - \bar{x})^2\)):
(55 - 38.4)^2 = 16.6^2 = 275.56
(37 - 38.4)^2 = (-1.4)^2 = 1.96
(25 - 38.4)^2 = (-13.4)^2 = 179.56
(15 - 38.4)^2 = (-23.4)^2 = 547.56
(60 - 38.4)^2 = 21.6^2 = 466.56
3. Calculate the average of these squared differences to get the population variance:
\sigma^2 = \frac{275.56 + 1.96 + 179.56 + 547.56 + 466.56}{5} = \frac{1471.20}{5} = 294.24
Note: This should be rounded to 2 decimal places if needed.
Therefore, the Population Variance is
\sigma^2 = 294.24
2. Subtract the mean and square the result for each number (i.e., \((x_i - \bar{x})^2\)):
3. Calculate the average of these squared differences to get the population variance:
Note: This should be rounded to 2 decimal places if needed.
Therefore, the Population Variance is
Frequently asked questions (FAQs)
What is the limit as x approaches infinity of (5x^3 - 2x^2 + 3x - 7)/(2x^3 + x + 4)?
+
Math question: If two triangles have two equal sides and the included angles of those sides are also equal, what can we conclude about the triangles?
+
Math question: What is the area, in square units, of an isosceles triangle with base length 8 units and height 6 units?
+
New questions in Mathematics