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Punjab (PTB) · Half book test · Free

1st Year Statistics First half Book Paper

50 marks · 1 hour 30 minutes · 35 questions. Covers: 5 chapters (CHAP 1: Introduction to Statistics to CHAP 5: Index Numbers).

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1st Year Statistics First half Book Paper

1st Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 50Time: 1 hour 30 minutes

Q1. Multiple choice questions (Attempt all · 15 × 1 = 15)

  1. If any value in a series is zero, then we cannot calculate the:

    1. Mean

    2. Harmonic mean

    3. Mode

    4. Median

  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. Registration is the source of:

    1. Primary data

    2. Secondary data

    3. Ogive

    4. Histogram

  5. Graphs of frequency distrubutions are used because:

    1. They have a long history in practical applications

    2. They attract attention to data pattern

    3. They account for biased or incomplete data

    4. None of these

  6. Which of the following measures cannot be calculated for the numbers 5, 8, 12, 6, 9, 13, 10.

    1. Median

    2. Mode

    3. Mean

    4. None of these

  7. The distribution is positively skewed if:

    1. Mean < Mode

    2. Mean > Mode

    3. Mean > Median

    4. Both (b) and (c)

  8. 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

  9. A numerical characteristics of a sample is called:

    1. Statistic

    2. Parameter

    3. Variable

    4. Sample

  10. Histogram is a graph of:

    1. Frequency distribution

    2. Time series

    3. Qualitative data

    4. Ogive

  11. If the values in a series are not of equal importance, we compute the:

    1. Median

    2. Harmonic mean

    3. Mean

    4. Weighted mean

  12. 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

  13. Composite index number involves commodities:

    1. One

    2. Two

    3. Three

    4. More than one

  14. In the plural sense, statistics mean:

    1. Methods

    2. Numerical Data

    3. Sample values

    4. Population values

  15. Classification of data by attributes is called:

    1. Temporal classification

    2. Geographical classification

    3. Quantitative classification

    4. Qualitative classification

Q2. Short questions (Attempt any 10 of 15 · 10 × 2 = 20)

  1. Define histogram.

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

  3. Write down the merits/advantages of Median.

  4. Differentiate between a Variable and a Random variable.

  5. Write the types of dispersion.

  6. What is a diagram?

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

  8. Find median for the following: 58 54 21 51 59 46 65 31 68 41 36

  9. How many significant digits are there in the following numbers? 400

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

  11. Explain "Class frequency."

  12. Given  then Find Current year weighted index number.

  13. If the value of Q2, D5 and P50 are equal to 27.12, then find Median of the distribution.

  14. Find the number of significant digits in the following numbers using scientific notation. 0.09800

  15. Write down the formula for combined variances.

Q3. Long questions (Attempt any 3 of 5 · 3 × 5 = 15)

  1. Prepare a frequency distribution using the following grouping 35 - 39, 40 - 44.

  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. Define the word statistics and explain its different meanings.

  5. A set of numbers consist of six 6's seven 7's eight 8's nine 9's and ten 10's. What is the arithmetic mean, median and mode of the numbers.