The ages of Brian's five cousins are listed below. 20 11 20 11 16 1) Calculate the mean. 2) Fill in the table below: Fill in the differences of each data value from the mean, then the squared differences. (x – ) 20 11 11 20
Percentage
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Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
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Addition
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![**Ages of Brian's Cousins:**
The ages of Brian's five cousins are listed below:
- 20
- 11
- 20
- 11
- 16
**1) Calculate the mean:**
\[
\bar{x} = \_
\]
**2) Fill in the table below:**
Fill in the differences of each data value from the mean, then the squared differences.
| \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^2\) |
|-------|----------------|----------------------|
| 20 | | |
| 11 | | |
| 20 | | |
| 11 | | |
| 16 | | |
\[
\sum (x - \bar{x})^2 = \_
\]
**3) Calculate the population standard deviation (\(\sigma\)):**
\[
\sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}} = \_ \text{ (Please round your answer to two decimal places)}
\]
Note: \(N\) is the population size or the number of data values in the population.
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