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Punjab (PTB) · Chapter test · Free

1st Year Statistics Chapter 4 TestMeasure of Dispersion

30 marks · 40 minutes · 21 questions. Covers: CHAP 4: Measure of Dispersion.

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1st Year Statistics Chapter 4 Test

1st Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Range can be calculated in open-end classes:

    1. Never

    2. Always

    3. Often

    4. Seldom

  2. The distribution is positively skewed if:

    1. Mean < Mode

    2. Mean > Mode

    3. Mean > Median

    4. Both (b) and (c)

  3. The variance expresses the variability of data in ______ as unit of data.

    1. Square of unit

    2. Square root of unit

    3. Same unit

    4. All of these

  4. If X and Y are independent, then s.d. (X - Y) is equal to:

    1. S.D. (X) + S.D. (Y)

    2. S.D. (X) - S.D. (Y)

  5. The mean deviation is least if deviations are taken from:

    1. Median

    2. A.M.

    3. Mode

    4. G.M.

  6. A disadvantage of range is that it is based on:

    1. Absolute deviation

    2. Square deviation

    3. Two extreme observation

    4. Upper and quartile

  7. For moderately skewed distributions, approximately 68% of the cases are included between:

    1. None of these

  8. Var (bX) = _______

    1. b Var(X)

    2. b2 Var(X)

    3. Var(X)

    4. Var(X)b2

  9. Which of the following statements is correct?

    1. Every symmetrical curve is mesokurtic

    2. Standard deviation is the mean squared deviations from the mean

    3. The standard deviatoin of a constant is constant

    4. The second moment about zero equals variance

  10. If X and Y are independent, then Var(X - Y) is equal to:

    1. Var (X) + Var (Y)

    2. Var (X) - Var (Y)

    3. Var (X + Y)

    4. Zero

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Write the types of dispersion.

  2. What would be the shape and name of the frequency distribution if: mean = median = mode

  3. Write down the formula for combined variances.

  4. When the distribution is leptokurtic and platykurtic.

  5. If standard deviation of values of X is 10, what is the standard deviation of values of 5X.

  6. If Q3 = 178.25 and Q.D=53.725 Find the value of Q1

  7. Define the semi-interquartile range or the quartile deviation.

  8. What can you say about skewness of the following case? Mean = 140 and Mode = 148.7.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Calculate mean deviation (about median) for the distribution given below:

    Groups Frequencies
    100 -110 56
    110 - 120 59
    120 - 130 61
    130 - 140 68
    140 - 150 77
    150 - 160 59
    160 - 170 51
    170 - 180 42
    180 - 190 36
    190 - 200 25
  2. Find coefficient of variation.

    X 37 42 47 52 57 62 67
    F 15 13 17 29 11 10 05
  3. For the following data find combined S.D and combined coefficient of variation. ,