Statistics Basics 3 | Interview Question
Question
According to the empirical rule, approximately what percent of
the data should lie within μ±2σ?
in progress
0
Statistics
55 years
29 Answers
2460 views
Contributor 0
Answers ( 29 )
95%
95%
97% of data should lie between two std. deviation around sample mean
95% of data should lie between two two std. deviations around the sample mean
According to the empirical rule, 95% of the data should lie within μ±2σ i.e. 2 standard deviations
95% data
95% data
2(34+13.5) = 95%
95%
95%
Sorry it a private answer.
95%
95%
95% must lie.
95%
For a bell curve, The empirical rule tells you what percentage of your data falls within a certain number of standard deviations from the mean:
• 68% of the data falls within one standard deviation of the mean.
• 95% of the data falls within two standard deviations of the mean.
• 99.7% of the data falls within three standard deviations of the mean.
According to the empirical rule, 95% of the data should lie within μ±2σ i.e. 2 standard deviations
1st SD = 34 + 34 = 68
2nd SD = 13.5 + 13.5 = 27
68 + 27 = 95
2(34+13.5) = 95%
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
According to the empirical rule, approximately 95 percent of the data should lie within μ±2σ.
95% of data lies between μ±2σ
95%
95%
68% — WIthin one standard deviation
95% — Within Two Standard deviation
99.7%- Within Three Standard Deviation
95%
95%
95%
According to the empirical rule, 95% of the data should lie within μ±2σ i.e. within 2 standard deviations of the sampling distribution of the sample mean
95% of data lies between μ±2σ
95%
68% — WIthin one standard deviation ( μ±1σ)
95% — Within Two Standard deviation ( μ±2σ)
99.7%- Within Three Standard Deviation (μ±3σ)
95% of data lies between μ±2σ
As per Bell curve, empirical rule says, 68% of data lie in μ±3σ range,
95% of data lie in μ±2σ range, and 99.7% data lie in μ±σ range.