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Statistics and Probability

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Descriptive Statistics (Measures of Central Tendency and Dispersion)

Subtopic

Descriptive Statistics (Measures of Central Tendency and Dispersion) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Given the set {10,20,30,40,50,60,70}\{10, 20, 30, 40, 50, 60, 70\}, calculate the IQRIQR.

    A.

    20

    B.

    30

    C.

    40

    D.

    60

  2. 2.

    The difference between the third quartile (Q3Q_3) and the first quartile (Q1Q_1) is known as the:

    A.

    Range

    B.

    Interquartile Range

    C.

    Variance

    D.

    Standard Deviation

  3. 3.

    If the mean of a dataset is 5050 and we add 55 to every value, what is the new mean?

    A.

    50

    B.

    55

    C.

    60

    D.

    250

Download the worksheet for Statistics and Probability - Descriptive Statistics (Measures of Central Tendency and Dispersion) to practice offline. It includes additional chapter-level practice questions.

Probability Theory (Conditional Probability, Bayes' Theorem)

Subtopic

Probability Theory (Conditional Probability, Bayes' Theorem) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In a bag of 1212 marbles, 44 are red. If you draw two without replacement, what is the probability the second is red given the first was red?

    A.

    311\frac{3}{11}

    B.

    412\frac{4}{12}

    C.

    14\frac{1}{4}

    D.

    411\frac{4}{11}

  2. 2.

    If P(A)=0.2P(A) = 0.2, P(B)=0.3P(B) = 0.3, and P(A∩B)=0.06P(A \cap B) = 0.06, are AA and BB independent?

    A.

    Yes, because P(A∩B)=P(A)P(B)P(A \cap B) = P(A)P(B)

    B.

    No

    C.

    Cannot be determined

    D.

    Only if P(A∣B)=0P(A|B) = 0

  3. 3.

    Given P(A)=0.9P(A) = 0.9 and P(B∣A)=0.9P(B|A) = 0.9, find P(A∩B)P(A \cap B).

    A.

    0.81

    B.

    1.8

    C.

    0.9

    D.

    0.1

Download the worksheet for Statistics and Probability - Probability Theory (Conditional Probability, Bayes' Theorem) to practice offline. It includes additional chapter-level practice questions.

Discrete Probability Distributions (Binomial, Poisson)

Subtopic

Discrete Probability Distributions (Binomial, Poisson) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate P(X=1)P(X=1) for X∼Po(0.2)X \sim \text{Po}(0.2).

    A.

    0.2e−0.20.2 e^{-0.2}

    B.

    e−0.2e^{-0.2}

    C.

    0.04e−0.20.04 e^{-0.2}

    D.

    0.20.2

  2. 2.

    Which parameter defines the Poisson distribution?

    A.

    nn and pp

    B.

    λ\lambda

    C.

    μ\mu and σ\sigma

    D.

    pp only

  3. 3.

    If X∼Po(10)X \sim \text{Po}(10), what is the variance?

    A.

    10\sqrt{10}

    B.

    100

    C.

    10

    D.

    5

Download the worksheet for Statistics and Probability - Discrete Probability Distributions (Binomial, Poisson) to practice offline. It includes additional chapter-level practice questions.

Continuous Probability Distributions (Normal Distribution)

Subtopic

Continuous Probability Distributions (Normal Distribution) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Given that ZZ follows the standard normal distribution and P(Z<1.5)=0.9332P(Z < 1.5) = 0.9332, what is the value of P(Z>1.5)P(Z > 1.5)?

    A.

    0.93320.9332

    B.

    0.50.5

    C.

    0.43320.4332

    D.

    0.06680.0668

  2. 2.

    In a standard normal distribution Z∼N(0,1)Z \sim N(0, 1), which of the following statements is true regarding its symmetry?

    A.

    P(Z<1)=P(Z<−1)P(Z < 1) = P(Z < -1)

    B.

    P(Z>0)=0.5P(Z > 0) = 0.5

    C.

    P(Z<0)=1P(Z < 0) = 1

    D.

    The mean is greater than the mode

  3. 3.

    If X∼N(100,25)X \sim N(100, 25), what is the value of the probability P(X>100)P(X > 100)?

    A.

    0.250.25

    B.

    1.01.0

    C.

    0.50.5

    D.

    0.750.75

Download the worksheet for Statistics and Probability - Continuous Probability Distributions (Normal Distribution) to practice offline. It includes additional chapter-level practice questions.

Bivariate Statistics (Correlation and Linear Regression)

Subtopic

Bivariate Statistics (Correlation and Linear Regression) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If r=0.9r = 0.9, the strength of the linear relationship is:

    A.

    Weak

    B.

    Moderate

    C.

    Strong

    D.

    None

  2. 2.

    What is another name for the Pearson correlation coefficient?

    A.

    Spearman's rank

    B.

    Product-moment correlation coefficient

    C.

    Coefficient of variation

    D.

    Standard deviation

  3. 3.

    If xˉ=5,yˉ=15\bar{x} = 5, \bar{y} = 15 and the regression line equation is y=ax+5y = ax + 5, what is the value of aa?

    A.

    11

    B.

    22

    C.

    33

    D.

    55

Download the worksheet for Statistics and Probability - Bivariate Statistics (Correlation and Linear Regression) to practice offline. It includes additional chapter-level practice questions.

Hypothesis Testing (Chi-squared test, t-tests)

Subtopic

Hypothesis Testing (Chi-squared test, t-tests) under Statistics and Probability for Grade 12 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following is true about the Student's tt-distribution compared to the standard normal distribution?

    A.

    It is skewed to the right

    B.

    It has a smaller standard deviation

    C.

    It is only used for very large samples

    D.

    It has heavier (fatter) tails

  2. 2.

    A company wants to test if the mean price of their product is more than $20\$20. What is the appropriate alternative hypothesis H1H_1?

    A.

    μ=20\mu = 20

    B.

    μ>20\mu > 20

    C.

    μ<20\mu < 20

    D.

    μ≠20\mu \neq 20

  3. 3.

    A goodness of fit test is conducted for a spinner with 1010 equal sectors. What is the degrees of freedom (vv)?

    A.

    9

    B.

    10

    C.

    1

    D.

    19

Download the worksheet for Statistics and Probability - Hypothesis Testing (Chi-squared test, t-tests) to practice offline. It includes additional chapter-level practice questions.

Statistics and Probability - Grade 12 Maths (IB) | Krit.club