Application → DistributionsEvidenceConnection evidence is not yet available in this language.
Application → DistributionsEvidenceA score-distribution question separates the location and shape of normal curves. School A has mean60 and standard deviation10; School B has mean65 and standard deviation5. The thick line represents School A, and the thin line School B. School A must have a leftward center and a wider, lower peak; School B a rightward center and a narrower, higher peak. The complete source selects diagram A. The question describes real scores as close to normal, so the comparison uses a normal model. The area-1 intuition applies to the same normalized normal family on the same coordinate scale, not to arbitrary densities merely sharing area 1.
Content location → Normal distributionEvidenceThe video points out that the normal distribution is a bell-shaped curve; if comparing two normal curves, look at the mean for position and the standard deviation for shape. The mean determines the horizontal shift of the curve, and the standard deviation determines the width and height of the curve.
Content location → Normal distributionEvidenceConnection evidence is not yet available in this language.
Application → Normal Curves: Compare Means, Widths and PeaksEvidenceA score-distribution question separates the location and shape of normal curves. School A has mean60 and standard deviation10; School B has mean65 and standard deviation5. The thick line represents School A, and the thin line School B. School A must have a leftward center and a wider, lower peak; School B a rightward center and a narrower, higher peak. The complete source selects diagram A. The question describes real scores as close to normal, so the comparison uses a normal model. The area-1 intuition applies to the same normalized normal family on the same coordinate scale, not to arbitrary densities merely sharing area 1.
Application → Normal distributionEvidenceThe video points out that the normal distribution is a bell-shaped curve; if comparing two normal curves, look at the mean for position and the standard deviation for shape. The mean determines the horizontal shift of the curve, and the standard deviation determines the width and height of the curve.
Application → Normal distributionEvidenceConnection evidence is not yet available in this language.
Content location → Normal Curves: Compare Means, Widths and PeaksEvidenceThe video points out that the normal distribution is a bell-shaped curve; if comparing two normal curves, look at the mean for position and the standard deviation for shape. The mean determines the horizontal shift of the curve, and the standard deviation determines the width and height of the curve.
Application → Normal distributionEvidenceThe video points out that the normal distribution is a bell-shaped curve; if comparing two normal curves, look at the mean for position and the standard deviation for shape. The mean determines the horizontal shift of the curve, and the standard deviation determines the width and height of the curve.
math