krit.club logo

Statistics and Probability

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

Data presentation (histograms, cumulative frequency, box plots)

Subtopic

Data presentation (histograms, cumulative frequency, box plots) under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If a histogram bar has a frequency density of 44 and a frequency of 2020, what is the class width?

    A.

    8080

    B.

    55

    C.

    0.20.2

    D.

    1616

  2. 2.

    On a cumulative frequency curve, the 2525th percentile corresponds to which quartile?

    A.

    Q1Q_1

    B.

    Q2Q_2

    C.

    Q3Q_3

    D.

    Q4Q_4

  3. 3.

    Which diagram is best for comparing the medians and spreads of two different data sets?

    A.

    Two Histograms

    B.

    Two Cumulative Frequency Curves

    C.

    Two Box Plots

    D.

    Two Pie Charts

Download the worksheet for Statistics and Probability - Data presentation (histograms, cumulative frequency, box plots) to practice offline. It includes additional chapter-level practice questions.

Measures of central tendency (mean, median, mode)

Subtopic

Measures of central tendency (mean, median, mode) under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate the mean of the numbers: 2,3,4,5,62, 3, 4, 5, 6.

    A.

    3

    B.

    4

    C.

    5

    D.

    4.5

  2. 2.

    Identify the mode of the list: 12,14,12,16,12,1812, 14, 12, 16, 12, 18.

    A.

    12

    B.

    14

    C.

    16

    D.

    18

  3. 3.

    What is the median of 50,40,6050, 40, 60?

    A.

    40

    B.

    50

    C.

    60

    D.

    45

Download the worksheet for Statistics and Probability - Measures of central tendency (mean, median, mode) to practice offline. It includes additional chapter-level practice questions.

Measures of dispersion (range, IQR, standard deviation)

Subtopic

Measures of dispersion (range, IQR, standard deviation) under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the IQRIQR of a data set where Q1=2.5Q_1 = 2.5 and Q3=8.5Q_3 = 8.5?

    A.

    11

    B.

    6

    C.

    5.5

    D.

    3

  2. 2.

    Given the data {1,1,10,10}\{1, 1, 10, 10\}, what is the range?

    A.

    1

    B.

    10

    C.

    9

    D.

    0

  3. 3.

    Find the range of the set: {−10,−20,−30,−40}\{ -10, -20, -30, -40 \}.

    A.

    30

    B.

    50

    C.

    10

    D.

    40

Download the worksheet for Statistics and Probability - Measures of dispersion (range, IQR, standard deviation) to practice offline. It includes additional chapter-level practice questions.

Correlation and linear regression

Subtopic

Correlation and linear regression under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the name for the vertical distance between an observed data point and the regression line?

    A.

    Correlation

    B.

    Residual

    C.

    Intercept

    D.

    Gradient

  2. 2.

    If the regression line is y=10−0.5xy = 10 - 0.5x, what is the predicted value of yy when x=10x = 10?

    A.

    00

    B.

    55

    C.

    1010

    D.

    1515

  3. 3.

    Which of the following rr values represents the weakest positive relationship?

    A.

    0.950.95

    B.

    0.500.50

    C.

    0.120.12

    D.

    −0.05-0.05

Download the worksheet for Statistics and Probability - Correlation and linear regression to practice offline. It includes additional chapter-level practice questions.

Concepts of probability (sample space, events)

Subtopic

Concepts of probability (sample space, events) under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A spinner is numbered 11 to 66. What is the probability of landing on a divisor of 55?

    A.

    16\frac{1}{6}

    B.

    26\frac{2}{6}

    C.

    36\frac{3}{6}

    D.

    56\frac{5}{6}

  2. 2.

    A letter is chosen at random from the word HELLOHELLO. What is the probability that the letter is 'L'?

    A.

    15\frac{1}{5}

    B.

    25\frac{2}{5}

    C.

    35\frac{3}{5}

    D.

    12\frac{1}{2}

  3. 3.

    A number is chosen at random from the integers 11 to 1010. What is the probability that it is a perfect square?

    A.

    0.10.1

    B.

    0.20.2

    C.

    0.30.3

    D.

    0.40.4

Download the worksheet for Statistics and Probability - Concepts of probability (sample space, events) to practice offline. It includes additional chapter-level practice questions.

Venn diagrams and tree diagrams

Subtopic

Venn diagrams and tree diagrams under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If n(A)=10n(A) = 10, n(B)=12n(B) = 12, and n(A∩B)=4n(A \cap B) = 4, find n(A∪B)n(A \cup B).

    A.

    22

    B.

    18

    C.

    14

    D.

    8

  2. 2.

    A tree diagram is used to find the probability of a girl having a sandwich (S) or pasta (P) for lunch on two days. If P(S)=0.6P(S) = 0.6 and P(P)=0.4P(P) = 0.4, what is the probability she has pasta on both days?

    A.

    0.16

    B.

    0.8

    C.

    0.4

    D.

    0.36

  3. 3.

    What does the symbol ∪\cup represent in set theory and Venn diagrams?

    A.

    Intersection

    B.

    Complement

    C.

    Union

    D.

    Subset

Download the worksheet for Statistics and Probability - Venn diagrams and tree diagrams to practice offline. It includes additional chapter-level practice questions.

Combined, mutually exclusive, and independent events

Subtopic

Combined, mutually exclusive, and independent events under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A fair coin is flipped. If it shows Heads, what is the probability that the next flip will also be Heads?

    A.

    0.250.25

    B.

    0.50.5

    C.

    0.750.75

    D.

    1.01.0

  2. 2.

    A box contains 2020 items, of which 33 are defective. What is the probability of choosing a non-defective item?

    A.

    0.150.15

    B.

    0.850.85

    C.

    0.030.03

    D.

    0.200.20

  3. 3.

    Two events AA and BB are independent. P(A)=0.1P(A) = 0.1 and P(B)=0.1P(B) = 0.1. What is P(A∩B)P(A \cap B)?

    A.

    0.20.2

    B.

    0.010.01

    C.

    0.10.1

    D.

    0.020.02

Download the worksheet for Statistics and Probability - Combined, mutually exclusive, and independent events to practice offline. It includes additional chapter-level practice questions.

Conditional probability

Subtopic

Conditional probability under Statistics and Probability for Grade 10 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A spinner has 5 sections: Red, Blue, Green, Yellow, Orange. If you spin it twice and the first spin is Red, what is the probability the second spin is Blue (assuming independent spins)?

    A.

    15\frac{1}{5}

    B.

    14\frac{1}{4}

    C.

    125\frac{1}{25}

    D.

    25\frac{2}{5}

  2. 2.

    For two events AA and BB, P(A)=0.5P(A) = 0.5 and P(B∣A)=0.4P(B | A) = 0.4. Find P(A∩B)P(A \cap B).

    A.

    0.10.1

    B.

    0.20.2

    C.

    0.80.8

    D.

    0.90.9

  3. 3.

    There are 5 red, 3 green, and 2 blue balls in a bag. One ball is drawn. Given it is NOT red, what is the probability it is green?

    A.

    310\frac{3}{10}

    B.

    35\frac{3}{5}

    C.

    12\frac{1}{2}

    D.

    37\frac{3}{7}

Download the worksheet for Statistics and Probability - Conditional probability to practice offline. It includes additional chapter-level practice questions.

Statistics and Probability - Grade 10 Maths (IB) | Krit.club