Skip to content

Punjab (PTB) · Quarter book test · Free

1st Year Statistics 2nd Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: CHAP 4: Measure of Dispersion, CHAP 5: Index Numbers, CHAP 6: Probability.

Your school name

1st Year Statistics 2nd Quarter Book Paper

1st Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. The probability of drawing a king of spade from a pack of 52 cards is

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

    1. Never

    2. Always

    3. Often

    4. Seldom

  3. The weights used in a quantity index are:

    1. Percentages of total quantity

    2. Prices

    3. Average of quantities

    4. None of these

  4. When a pair of dice is rolled, the sum of uppermost dots vary from:

    1. 0 to 10

    2. 1 to 11

    3. 2 to 19

    4. 2 to 12

  5. The distribution is positively skewed if:

    1. Mean < Mode

    2. Mean > Mode

    3. Mean > Median

    4. Both (b) and (c)

  6. Which method of construction of consumer price index number is the Laspeyre's index number?

    1. Aggregate expenditure method

    2. Family budget method

    3. Both (a) and (b)

    4. None of these

  7. If , then A and B are

    1. Mutually exclusive

    2. Independent

    3. Not mutually exclusive

    4. None of these

  8. 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

  9. Composite index number involves commodities:

    1. One

    2. Two

    3. Three

    4. More than one

  10. When three coins are tossed simultaneously, P(3 heads) is

  11. 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)

  12. Paasche's Index Number:

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

  1. Distinguish between an unweighted index number and a weighted index number.

  2. What is the sample space when three distinct coins are tossed simultaneously? Also specify the event A 'exactly two heads occur'.

  3. Write the types of dispersion.

  4. Compute base year weighted and current year weighted index numbers for the given data: 

  5. Solve: 

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

  7. Given  then Find Current year weighted index number.

  8. Evaluate the following: 

  9. Write down the formula for combined variances.

  10. Describe the unweighted index numbers.

  11. Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A= {2, 3, 4, 5}, B= {5, 6, 7, 8} and C= {3, 4, 5, 6}. List the members of the following sets: 

  12. When the distribution is leptokurtic and platykurtic.

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. For two independent events A and B, P(A) = 0.25 and P(B) = 0.40. Find ?

  2. 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
  3. Construct the chain indices for the following data for price relatives for 1941 to 1944.

    Year Sugar Gur Tea Coffee
    1941 98 75 82 99
    1942 100 82 74 100
    1943 114 83 78 104
    1944 109 84 89 95
  4. Consider two events A and B such that  and . Find P(B).