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# Two data sets with same mean but different standard deviations.

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1. Howdy .

What does it mean when two data sets have the same mean but different standard deviations?
2. one set is more spread out than the other.*

i) the shoe sizes { 4 4 4 4 4 4 4 4 4 6 8 8 8 8 8 8 8 8}

ii) the shoe sizes { 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 }

the two sets have the same mean ( 6 ) and range ( 4 ) but different standard deviations.*
3. (Original post by marcus888)
Howdy .

What does it mean when two data sets have the same mean but different standard deviations?
Depends what the standard deviations are. The standard deviation is a measure of how close results are to the mean, a low standard deviations means the measurements are precise, so close to the mean. A high standard deviation means that measurements are more spread out.
4. (Original post by the bear)
one set is more spread out than the other.*

i) the shoe sizes { 4 4 4 4 4 4 4 4 4 6 8 8 8 8 8 8 8 8}

ii) the shoe sizes { 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 }

the two sets have the same mean ( 6 ) and range ( 4 ) but different standard deviations.*
(Original post by NotNotBatman)
Depends what the standard deviations are. The standard deviation is a measure of how close results are to the mean, a low standard deviations means the measurements are precise, so close to the mean. A high standard deviation means that measurements are more spread out.

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