EDAIC MCQ (Multiple Choice Question) and answer. FREE UPLOADS BY WWW.TARGETEDAIC.COM (75)

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Question:  Regarding a normal Gaussian distribution, which of the following statements are true

1. 95% of observations lie between mean +/- 2 SD
2. A maximum of 25% observations lie between mean +/- 1 SD
3. Data should be transformed logarithmically before analysis
4. Mean, median and mode coincide
5. 95% confidence interval can be calculated as a product of 1.96 and SD of the population, given n > 30

Answers:

1. 1. true
   2. false
   3. false
   4. true
   5. false

Explanation:

The Gaussian or normal distribution is the most important frequency distribution in statistics

properties:

1. Symmetrical about the mean
2. Mean, mode and median coincide
3. Empirical rule
   In normally distributed data, there is a constant proportion of distance lying under the curve between the mean and a specific number of standard deviations from the mean. For example,
   • 68.25% of all cases fall within +/- one standard deviation from the mean (Therefore, 34 % of observations will lie between mean and mean + 1 SD).
   • 95% of all cases fall within +/- two standard deviations from the mean, while
   • 99% of all cases fall within +/- three standard deviations from the mean.
4. Normal distribution data does not need logarithmic transformation before parametric tests because of symmetrical distribution
5. For n > 30, the 95% confidence intervals can be calculated as a product of SEM (standard error of the mean) and 1.96
6.  If n<30, Confidence Interval = x̄ ± t_c(S/√n)Where,
   • n = Number of terms
   • x̄ = Sample Mean
   • S = sample standard deviation
   • t_c = Value corresponding to confidence interval in t table

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‘EDAIC MCQ (Multiple Choice Question) and answer’ covers a different topic each day with the intent that candidates can prepare one small topic each day, making steady progress in their exam preparation.