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If each item is reduced by 20, the standard deviation
- a)Increased
- b)Decreased
- c)Unchanged
- d)None
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If each item is reduced by 20, the standard deviationa)Increasedb)Decr...
Explanation:
Conclusion:
- Standard deviation is a measure of the spread of data from its mean.
- When each item is reduced by 20, the mean of the data also reduces by 20.
- Since standard deviation is calculated based on the deviation of each item from the mean, it will also reduce by 20.
- However, since the reduction is proportional to each item, the relative spread or variability of the data remains the same.
- Therefore, the standard deviation remains unchanged.
Conclusion:
- The correct answer is option 'C' - Unchanged.
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If each item is reduced by 20, the standard deviationa)Increasedb)Decreasedc)Unchangedd)NoneCorrect answer is option 'C'. Can you explain this answer?
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