Question
The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.
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Text solutionVerified
Solution: as we know that,
if 3 is multiplied b each observation, then
now, Variance is
new variance will be
\displaystyle\sigma^{{2}}'=\frac{{\sum{\left({3}{x}_{{i}}-{3}\overline{{x}}\right)}^{{2}}}}{{n}}
\displaystyle{S}{D}'=\sqrt{{\sigma^{{2}}'}}=\sqrt{{144}}={12}
answer
if 3 is multiplied b each observation, then
now, Variance is
new variance will be
answer
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Question Text | The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations. |
Answer Type | Text solution:1 |
Upvotes | 150 |