Application → DistributionsEvidenceReviewed application connection to Distributions.
Application → DistributionsEvidenceReviewed application connection to Distributions.
Application → DistributionsEvidenceThe question gives a histogram of 100 weights and a reference normal curve N with mean 55 and standard deviation 12.5. Keep them separate: the normal probability above 55 is 50%. Above 80 means above the mean plus 2 standard deviations; the source uses a 95% empirical approximation to estimate 2.5%, while the editorial exact value is about 2.275%. The sample bins are (35,45], (45,55] and so on: the first 20% is no greater than 45, and cumulative 53% is no greater than 55. Thus the sample first quartile exceeds 45, while its median does not exceed 55. The sample proportion above 80 is only bounded between 5% and 11%, with no uniform interpolation inside a bin. The complete correct options are 1,2,4,5.
Content location → Normal distributionEvidenceReviewed content location connection to Normal distribution.
Content location → Normal distributionEvidenceThe reference normal curve uses mean 55 and standard deviation 12.5; the histogram describes 100 observed values, a different object.
Application → Normal Curve or Sample Histogram? Probabilities and QuartilesEvidenceThe question gives a histogram of 100 weights and a reference normal curve N with mean 55 and standard deviation 12.5. Keep them separate: the normal probability above 55 is 50%. Above 80 means above the mean plus 2 standard deviations; the source uses a 95% empirical approximation to estimate 2.5%, while the editorial exact value is about 2.275%. The sample bins are (35,45], (45,55] and so on: the first 20% is no greater than 45, and cumulative 53% is no greater than 55. Thus the sample first quartile exceeds 45, while its median does not exceed 55. The sample proportion above 80 is only bounded between 5% and 11%, with no uniform interpolation inside a bin. The complete correct options are 1,2,4,5.
Application → Content locationEvidenceReviewed application connection to Content location.
Application → Normal distributionEvidenceReviewed application connection to Normal distribution.
Application → Normal distributionEvidenceThe reference normal curve uses mean 55 and standard deviation 12.5; the histogram describes 100 observed values, a different object.
Application → Normal distributionEvidenceThe reference normal curve uses mean 55 and standard deviation 12.5; the histogram describes 100 observed values, a different object.
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