Amazon Interview Question | What percentage of value lies between Mean and one Standard deviation(both positive and negative)
Question
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Answers ( 18 )
Approximately 68 % of values lie between 1 standard deviation in both positive
and negative directions.
The normal distribution is generally associated with the 68-95-99.7 rule.
To learn about the mathematical derivations from where those figures
arrive, you can refer the following post.
https://towardsdatascience.com/understanding-the-68-95-99-7-rule-for-a-normal-distribution-b7b7cbf760c2
~68%
In a normal distribution, generally
68% of the values lie between Mean and One Standard Deviation i.e between (Mean-SD, Mean+SD)
95% values lie between Mean and two Standard Deviation (Mean-2SD, Mean+2SD)
99.7% values lie between Mean and three Standard Deviation (Mean-3SD, Mean+3SD)
SD is Standard Deviation
68% of the values lie between the mean and 1 standard deviation in both positive and negative direction of the mean
68% of the values lie between the mean and 1 standard deviation in both positive and negative direction of the mean
68%
Approximately 68% of values lie between mean and one standard deviation in both positive and negative directions.
Attachment
68%
Approximately 68%%
Empirical Rule of Normal distribution-
The percentage of data that falls within specific standard deviation from mean:
68% – Mean+/- 1 S.D.
95% – Mean +/- 2 S.D.
99.7% – Mean+/- 3 S.D
68% of the values lie between Mean and One Standard Deviation
95% values lie between Mean and two Standard Deviation
99.7% values lie between Mean and three Standard Deviation
68% if the data follows normal distribution
One sigma range is 68%
two sigma is 95%
3 sigma is 99.7%
68% – Mean+/- sigma
According to the general 68-95-99 rule, 68.27% of the observations lie within one standard deviation of the mean, 95.45% of the observations lie within two standard deviations of the mean, and 99.73% of the observations lie within three standard deviations of the mean (both positive and negative).
The empirical rule or the 68-95-99.7 rule tells you where most of the value lie in a normal distribution.
According to this rule
68.27% of the values lie between Mean and One Standard Deviation in both positive and negative directions.
95.45% values lie between Mean and two Standard Deviation in both positive and negative directions.
99.73% values lie between Mean and three Standard Deviation in both positive and negative directions.
68 percent
Cant’ say
This question is tricky .They have not mentioned that it is normal distribution.