A LEVEL MATHEMATICS: STATISTICS
PRACTICE EXAMINATION 2026
QUESTIONS WITH ANSWERS GRADED A+
◍ Linear Regression.
Answer: y = axⁿ logy = loga + nlogx
◍ Exponential Regression.
Answer: y = ab^x logy = loga + xlogb
◍ Normal Approximation.
Answer: µ = npσ =√(np(1-p))
◍ Mean.
Answer: Average of values
◍ Mean.
Answer: ∑x ÷ nGF: ∑xf ÷ ∑f
◍ Variance.
Answer: (∑x²/n) - (∑x/n)²
◍ Standard Deviation.
Answer: √variance
◍ Histograms: Height.
Answer: Area = k x frequency
◍ Frequency Density.
Answer: frequency ÷ class width
◍ Opportunity Sampling.
Answer: Choosing whoever is available
◍ Conditions for Binomial.
, Answer: Fixed no. of trials2 possible outcomesOutcomes are independent
Fixed probability of success
◍ Probability: Independent if....
Answer: P(A∩B) = P(A) X P(B)P(A|B) = P(A)
◍ Probability: Mutually exclusive if....
Answer: P(A∩B) = 0P(A B) = P(A) + P(B)
◍ Conditional Probability.
Answer: P(A|B) = P(A∩B)/P(B)
◍ Probability Addition Rule.
Answer: P(A B) = P(A) + P(B) - P(A∩B)
◍ If there are 3 events, and A and B are mutually exclusive....
Answer: P(A B C) = P(A) + P(B) + P(C) - P(A∩C) - P(B∩C)
◍ What is a DRV - discrete random variable.
Answer: it is a random variable that can only take certain values
◍ ....
Answer: ...
◍ probability mass function.
Answer: a function that gives the probability that a discrete random variable
is exactly equal to some value
◍ what does a probability distribution do.
Answer: describes the probability of any outcome in the sample space
◍ P(A/B) =.
Answer: (P(A n B)) ---------------P(B)
◍ Range and interquartile range.
Answer: - The difference between the largest and smallest values in the data
set- The difference between the upper quartile and the lower quartile, Q₃ -
Q₁
◍ If they are independent events P(A) * P(B) =.
PRACTICE EXAMINATION 2026
QUESTIONS WITH ANSWERS GRADED A+
◍ Linear Regression.
Answer: y = axⁿ logy = loga + nlogx
◍ Exponential Regression.
Answer: y = ab^x logy = loga + xlogb
◍ Normal Approximation.
Answer: µ = npσ =√(np(1-p))
◍ Mean.
Answer: Average of values
◍ Mean.
Answer: ∑x ÷ nGF: ∑xf ÷ ∑f
◍ Variance.
Answer: (∑x²/n) - (∑x/n)²
◍ Standard Deviation.
Answer: √variance
◍ Histograms: Height.
Answer: Area = k x frequency
◍ Frequency Density.
Answer: frequency ÷ class width
◍ Opportunity Sampling.
Answer: Choosing whoever is available
◍ Conditions for Binomial.
, Answer: Fixed no. of trials2 possible outcomesOutcomes are independent
Fixed probability of success
◍ Probability: Independent if....
Answer: P(A∩B) = P(A) X P(B)P(A|B) = P(A)
◍ Probability: Mutually exclusive if....
Answer: P(A∩B) = 0P(A B) = P(A) + P(B)
◍ Conditional Probability.
Answer: P(A|B) = P(A∩B)/P(B)
◍ Probability Addition Rule.
Answer: P(A B) = P(A) + P(B) - P(A∩B)
◍ If there are 3 events, and A and B are mutually exclusive....
Answer: P(A B C) = P(A) + P(B) + P(C) - P(A∩C) - P(B∩C)
◍ What is a DRV - discrete random variable.
Answer: it is a random variable that can only take certain values
◍ ....
Answer: ...
◍ probability mass function.
Answer: a function that gives the probability that a discrete random variable
is exactly equal to some value
◍ what does a probability distribution do.
Answer: describes the probability of any outcome in the sample space
◍ P(A/B) =.
Answer: (P(A n B)) ---------------P(B)
◍ Range and interquartile range.
Answer: - The difference between the largest and smallest values in the data
set- The difference between the upper quartile and the lower quartile, Q₃ -
Q₁
◍ If they are independent events P(A) * P(B) =.
