To find the values of Mean, Median, Mode, Range and Standard deviation when multiplied by
Answer to Problem 28E
Mean:
Median:
Mode: none
Range:
Standard deviation:
Explanation of Solution
Given information: Mean:
Calculation:
Multiplying every value by a constant, however, will multiply the mean, median, mode, range, and standard deviation by that constant, and multiply the variance (which is simply the square of the standard deviation) by the square of that constant.
When multiplied by
- Mean
Mean:
Now,
When multiplied by
So,
Mean:
Hence,
Mean:
- Median
Median:
Now,
When multiplied by
So,
Median:
Hence,
Median:
- Mode
Mode: none
Now,
When multiplied by
Hence,
Mode: none
- Range
Range:
Now,
When multiplied by
So,
Range:
Hence,
Range:
- Standard deviation
Standard deviation:
Now,
When multiplied by
So,
Standard deviation:
Hence,
Standard deviation:
Chapter 11 Solutions
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