Which statistical concept measures the spread of data around the mean?VarianceMeanMedianStandard deviation
Question
Which statistical concept measures the spread of data around the mean?
- Variance
- Mean
- Median
- Standard deviation
Solution
The statistical concept that measures the spread of data around the mean is the Standard deviation.
Explanation:
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Mean: This is the average of a data set, calculated by adding all the numbers together and dividing by the count of numbers. However, it does not indicate the spread.
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Median: This is the middle value of a data set when it is ordered. Like the mean, it shows the central tendency but not the spread of the data.
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Variance: This quantifies the degree to which each number in the set differs from the mean and from each other. It's a measure of how data is spread out but is expressed in squared units, which can sometimes complicate interpretation.
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Standard Deviation: This is the square root of the variance and provides a measure that is in the same units as the data. It indicates how much individual data points deviate, on average, from the mean. A low standard deviation means that the data points tend to be close to the mean, while a high standard deviation means that the data points are spread out over a wider range of values.
Given these points, standard deviation is the most appropriate measure of spread around the mean.
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