Subject: Mathematics
Book: Maths Mastery
The normal distribution (or Gaussian) is a bell-shaped curve centered on its mean μ, with spread measured by standard deviation σ. Many natural phenomena (height, test scores) approximate this distribution by the Central Limit Theorem. Probabilities or data proportions can be found using z-scores: z = (x – μ)/σ. For instance, about 68% of data lies within 1σ, ~95% within 2σ, ~99.7% within 3σ. Familiarity with the normal curve underpins hypothesis testing, business forecasting, and scientific measurement. Mastering it elevates your data analysis and interpretive skills across numerous fields.
If x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionWhat is the square root of 144?
View QuestionThe angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionIf x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionThe sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?
View QuestionIf sin(A) = 1/2 and A is acute, what is the value of A?
View QuestionA sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View Question