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The standard deviation is ….. To the mea...

The standard deviation is ….. To the mean deviation taken from the arithmetic mean

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To solve the question, we need to understand the relationship between standard deviation and mean deviation. ### Step-by-Step Solution: 1. **Understanding the Definitions**: - **Mean Deviation**: It is the average of the absolute deviations of each data point from the mean. - **Standard Deviation**: It measures the amount of variation or dispersion of a set of values. 2. **Relationship Between Standard Deviation and Mean Deviation**: - It is a known statistical property that the standard deviation is always greater than or equal to the mean deviation when calculated from the arithmetic mean. 3. **Filling in the Blank**: - Based on the relationship, we can conclude that the standard deviation is **greater than or equal to** the mean deviation taken from the arithmetic mean. 4. **Final Answer**: - Therefore, the complete statement is: "The standard deviation is **greater than or equal to** the mean deviation taken from the arithmetic mean."

To solve the question, we need to understand the relationship between standard deviation and mean deviation. ### Step-by-Step Solution: 1. **Understanding the Definitions**: - **Mean Deviation**: It is the average of the absolute deviations of each data point from the mean. - **Standard Deviation**: It measures the amount of variation or dispersion of a set of values. ...
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