Which normal distribution has the greatest standard deviation?
Answers
Given : Few Distributions Mean & Standard Deviation
To find : normal distribution which has the greatest standard deviation
Solution:
missing data added
Mean Standard Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
A low standard deviation indicates that the data points tend to be very close to the mean,
whereas high standard deviation indicates that the data is spread out over a large range of values.
Distribution 4 has maximum Standard Deviation = 3.2
=> Distribution 4 has the greatest standard deviation
or See attached figure :
Graph at top has more spread hence more standard deviation :
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