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Statistics for Economists BS AIOU — Allama Iqbal Open University 2025

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  • Ayesha Mustafa· 2 days ago

    BS ZOOLOGY first semester Animal diversity ZOOL 101 - university of Punjab 2025

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    Literary criticism

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  • Guest· 3 days ago

    this paper consists of 60 marks but now we have 35 marks paper.

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  • Annie· 4 days ago

    Can you please tell me more past papers please because my exams are starting from next week

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    Did you provide the past papers of the science of society uos?

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Paper text

ALLAMA IQBAL OPEN UNIVERSITY ISLAMABAD

Level BS Semester Spring 2025

Subject Course Code Introduction to Statistics for Economists (8264) Maximum Marks 100

Maximum Time 03 Hours Pass Marks 40

Medium of Instructions English

NOTE: Attempt Five Questions

Q.No. Questions Marks

1. Consider the following data: (5+5+5+5)

14 22 10 46

34 31 25 68

39 41 30 15

30 18 24 37

45 21 44 56

65 36 54 59

Construct a frequency distribution.

Answer the questions:

(i) Construct a histogram.

(ii) Construct a semi-circular density.

2.

(i) For the following situations, indicate which distribution: 10+10

(a) Has the largest average value.

(b) Is more likely to produce a small value than a large value.

(c) Is the better representation of the distribution of ages in a

neck concent,

(d) Is the better representation of the distribution of the

times patients have to wait in a doctor's office.

(ii) For the next two distributions, indicate which distribution: if any

(a) Has values more evenly distributed about the center, the range of

which is larger.

(b) Is more likely to produce a value near

0.

(c) Has a greater likelihood of producing positive values than

negative values.

3. The heights of men in the Jordan are normally distributed 15+05

(also denoted as distribution of Ken).

(i) What proportion of them have heights.

a. Over 170 cm.

b. Between 170 - 172 cm?

c. Between 164 - 173 cm?

d. Between 166 - 173 cm?

e. Within one standard deviation of the height Ken.

4. Life insurance premiums are larger for older people than younger 20

people and premiums are generally higher for younger people who

have larger life insurance benefits. Without doing detailed statistical

calculations with them (you should use the reasoning)

(i) Describe the properties of an outlier.

(ii) A sample of 302 employees with large expected life opinions

on their attitude concerning a new health plan are being

expected by the management. The results, summarized

separately for males and females, showed that 52.8 percent

(males) and 65.6 percent (females) of respondents returned a

positive questionnaire card.

5.

(i) A vendor gives a 10% discount to each customer on their entire 10+10

purchase of an item, which is priced at Rs. 900, including taxes.

If a woman with a 5% discount coupon in hand buys two of

these items, what will she pay (including tax) for both items?

(ii) If each unit of shirts is sold at $140, what will its purchase

that q =

80.

6.

(a) What are the four components of a time series? How the seasonal 10+10

variations can be detected and decomposed from the time series

(b) Explain with a suitable example, how Paasche's price index

differs from a simple aggregative price index.

7.

(a) Write the table shown the average price in rupees for butter, cheese, and 10+10

margarine.

Year Price

Butter Cheese Margarine

2024 275.5 360.5 120.4

2023 280.3 489.7 180.6

Taking 2024 as the base year, construct the price index numbers by the

weighted average of a relative method for the year 1910, using the weights

26 for butter, 16 for cheese, and 8 for margarine.