College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

Question: 1 / 400

What is the standard deviation of the dataset: 2, 4, 4, 4, 5, 5, 7, 9?

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To determine the standard deviation of the dataset 2, 4, 4, 4, 5, 5, 7, 9, you need to follow a series of steps. First, calculate the mean (average) of the dataset:

1. **Calculate the mean**:

\[

\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{2 + 4 + 4 + 4 + 5 + 5 + 7 + 9}{8} = \frac{40}{8} = 5

\]

2. **Calculate each value's deviation from the mean** and then square those deviations:

\[

(2 - 5)^2 = (-3)^2 = 9

\]

\[

(4 - 5)^2 = (-1)^2 = 1

\]

\[

(4 - 5)^2 = 1

\]

\[

(4 - 5)^2 = 1

\]

\[

(5 - 5)^2 = 0

\]

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