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Statistics and Probability

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

Measures of Dispersion (Mean Deviation, Variance, Standard Deviation)

Subtopic

Measures of Dispersion (Mean Deviation, Variance, Standard Deviation) under Statistics and Probability for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The variance of 5,10,155, 10, 15 is:

    A.

    50/350/3

    B.

    25/325/3

    C.

    5050

    D.

    2525

  2. 2.

    Which measure of dispersion is calculated in the same units as the mean?

    A.

    Variance

    B.

    Standard Deviation

    C.

    Coefficient of Variation

    D.

    None of these

  3. 3.

    If SD(x)=3SD(x) = 3, what is SD(2x+5)SD(2x + 5)?

    A.

    1111

    B.

    66

    C.

    33

    D.

    11

Download the worksheet for Statistics and Probability - Measures of Dispersion (Mean Deviation, Variance, Standard Deviation) to practice offline. It includes additional chapter-level practice questions.

Analysis of Frequency Distributions

Subtopic

Analysis of Frequency Distributions under Statistics and Probability for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If the standard deviation of a population is 88, what is the variance?

    A.

    2.82

    B.

    16

    C.

    64

    D.

    4

  2. 2.

    Calculate the mean deviation about the mean for: 5,5,5,55, 5, 5, 5.

    A.

    5

    B.

    0

    C.

    1

    D.

    25

  3. 3.

    The Coefficient of Variation is used to compare:

    A.

    The means of two series

    B.

    The medians of two series

    C.

    The variability of two series

    D.

    The ranges of two series

Download the worksheet for Statistics and Probability - Analysis of Frequency Distributions to practice offline. It includes additional chapter-level practice questions.

Probability (Axiomatic Approach)

Subtopic

Probability (Axiomatic Approach) under Statistics and Probability for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If P(A)=0.2,P(B)=0.3,P(C)=0.4P(A) = 0.2, P(B) = 0.3, P(C) = 0.4 and A,B,CA, B, C are mutually exclusive events, then P(ABC)P(A \cup B \cup C) is:

    A.

    0.90.9

    B.

    0.0240.024

    C.

    0.30.3

    D.

    1.01.0

  2. 2.

    The collection of all subsets of a sample space SS is called the:

    A.

    Power set

    B.

    Universal set

    C.

    Event space

    D.

    Empty set

  3. 3.

    If P(A)=0.7P(A) = 0.7, then P(AS)P(A \cap S) is:

    A.

    0.70.7

    B.

    0.30.3

    C.

    1.01.0

    D.

    00

Download the worksheet for Statistics and Probability - Probability (Axiomatic Approach) to practice offline. It includes additional chapter-level practice questions.

Events and their Algebra

Subtopic

Events and their Algebra under Statistics and Probability for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In the experiment of rolling a die, if E={2,4,6}E = \{2, 4, 6\}, then EE is a/an:

    A.

    Impossible event

    B.

    Sure event

    C.

    Simple event

    D.

    Compound event

  2. 2.

    Which of these is the correct expression for P(AB)P(A \cap B')?

    A.

    P(A)P(AB)P(A) - P(A \cap B)

    B.

    P(B)P(AB)P(B) - P(A \cap B)

    C.

    P(A)+P(B)P(A) + P(B)

    D.

    1P(AB)1 - P(A \cap B)

  3. 3.

    If P(A)=13P(A) = \frac{1}{3} and P(B)=14P(B) = \frac{1}{4}, and AA and BB are mutually exclusive, what is P(AB)P(A \cup B)?

    A.

    712\frac{7}{12}

    B.

    112\frac{1}{12}

    C.

    512\frac{5}{12}

    D.

    27\frac{2}{7}

Download the worksheet for Statistics and Probability - Events and their Algebra to practice offline. It includes additional chapter-level practice questions.

Correlation and Regression Analysis

Subtopic

Correlation and Regression Analysis under Statistics and Probability for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If byxb_{yx} and bxyb_{xy} are both greater than zero, then rr must be:

    A.

    Negative

    B.

    Greater than zero

    C.

    Zero

    D.

    Less than 1-1

  2. 2.

    If the covariance between XX and YY is zero, then the variables are:

    A.

    Perfectly correlated

    B.

    Uncorrelated

    C.

    Positively correlated

    D.

    Negatively correlated

  3. 3.

    In the regression equation Y=101.5XY = 10 - 1.5X, the value of the slope is:

    A.

    1010

    B.

    1.51.5

    C.

    1.5-1.5

    D.

    8.58.5

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

Statistics and Probability - Class 11 Maths (ICSE) | Krit.club