1st Year Statistics Past Papers

All Solved 1st year statistics past papers written by Honorable Professor Mr. Adnan Haider Suib. These notes are very helpful in the preparation of 1st year statistics past papers of all Punjab Boards (Faisalabad Board, Gujranwala Board, Lahore Board, Multan Board, Rawalpindi Board, D.G. Khan Board, Bahawalpur Board,  Sargodha Board, Sahiwal Board ) for the students of the Intermediate part-I and these are according to the paper patterns of all Punjab boards.

Summary and Contents:
Topics which are discussed in the notes are given below:
  • Our comprehensive 1st year statistics past papers will ensure you're fully prepared for your exams.
  • i- Define statistics as a field of study.
  • ii Write any two sources of secondary data.
  • iii Define an average.
  • iv What do you mean by weighted mean?
  • V- If n₁ = 30, n, 20 and X₁ = 10, X2 = 15, then find combined mean Xc.
  • vi Write the names of positional averages.
  • vii If 2(x-35) = 0, Σ(x- 40) = 5 and 2(x-45)=-5 what is the value of mean and why?
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  • What is base period?
  • ix Find Paasche's price index number if 2p,q, =1050 and 2poq₁ = 1000.
  • x Define composite index number.
  • xi Which averages are used in construction of an index number?
  • xii - Find consumer's price index number by family budget method if EWI =131950 and 2poq = 750.
  • 3. Write short answers to any EIGHT questions.
  • i Define tabulation.
  • ii For the class intervals 4-7, 8-11, 12-15 make class boundaries.
  • iii Define mean deviation.
  • iv Find range of -1, -3, 0, 2, 5, 8.
  • v- If Q1-12, Q3-36, find quartile deviation.
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  • vi Define co-efficient of variation.
  • vii Define kurtosis.
  • viii - Define simple and compound events.
  • ix What is the classical definition of probability?
  • x If A and B are independent events, P(A)=0.4, P(B)= 0.3 Find P(ANB).
  • xi Define equally likely events.
  • xii If P(A)=0.3, P(B) = 0.8, P(A∩B) = 0.2 Find P(AUB).
  • i Define continuous random variable.
  • ii Define discrete probability distribution.
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  • iii What are random numbers, how the random numbers can be generated?
  • iv Explain the "Mathematical Expectation".
  • v - If E(x) = 1.15 and E(x²) = 2.15 then find var(x).
  • vi Define binomial probability distribution.
  • vii - 3 If x-b(20,). Find mean and variance of binomial distribution. 5
  • viii Write down four properties of hypergeometric experiment.
  • ix If N = 6, n=4, K = 3. Write down function of hypergeometric distribution. Also find P (x = 1).
  • 5. (a) The daily wages for a group of 200 persons have been obtained from a frequency distribution of a continuous variable x, after making the substitution u = x-130
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  • Number of persons 7, 50, 50, 40, 3 Find G.M.
  • (b) The average wage of 4 men is Rs.17 per hour. What is the average wage of further 6 men if the average wage of all 10 men is Rs.20?
  • (b) Computer calculated mean and standard deviation from 20 observations as 42 and 5 respectively. It was later discovered at the time of checking that it had copied down two values as 45 and 38 where as the correct values were 35 and 58 respectively. Find correct value of co-efficient of variation.
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  • 7. (a) Construct chain indices from the following price relatives using median as an average:
  • (b) If two persons "A" and "B" can solve 70% and 80% of problems of a certain book respectively, then find the probability that a problem chosen at random will be solved by at least one of them.
  • 8. (a) From the following probability distribution find mean and variance: P(X= x)       :16, 16, 16, 16, 16
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  • (b) A continuous random variable X has a density function as
  • 9. (a) A certain event is believed to follow the binomial distribution. In 1024 samples of 5, p= 1 = 3
  • f(x) = 2x      :  0  ; 0≤x≤1 elsewhere 1 2 P(X<)  1 4 ii) P(
  • Find complete binomial frequency distribution.
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  • (b) There are seven people who work in an office. Of them, four would like to be transferred.
  • If three people from this office are randomly selected for transfer, what is the probability that
  • i) All three will want to be transferred.
  • ii) At most one will want to be transferred.

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