ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 163 - 165 of 165

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Question number: 163

» Numerical Analysis » Interpolation Formulae » Gauss

Appeared in Year: 2009

Essay Question▾

Describe in Detail

Find the value of

by taking 5 subintervals and using the Trapezoidal rule.

Explanation

Let

First divided the interval into 5 subintervals

x

0

1/4

1/2

3/4

1

y

1

16/17

4/5

16/25

½

Here a = 0, b = 1, n = 4, h= (b-a) /n = 1/4

the Trapezoidal rule is

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Question number: 164

» Numerical Analysis » Interpolation Formulae » Newton (Dividend Difference)

Appeared in Year: 2015

Essay Question▾

Describe in Detail

By making use of difference table and a suitable interpolation formula, find the number of student who obtained less than 45 marks in an examination, from the following table

Marks

30 - 40

40 - 50

50 - 60

60 - 70

70 - 80

Number of students

31

42

51

35

31

Explanation

Applying Newton-Gregory forward formula for interpolating the number of student who obtained less than 45 marks in an examination.

Marks less than

Number of student

Difference

∆y 0

2 y 0

3 y 0

4 y 0

x 0 =40

y 0 = 31

42

9

-25

37

50

y 1 =73

51

-16

60

y 2 =124

35

70

y 3 =159

12

80

y 4 =190

31

-4

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Question number: 165

» Statistical Methods » Association and Contingency

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Compute Yule’s coefficient of association (Q) and Yule’s coefficient of colligation (Y) for the following table:

Disease on-set

Yes

No

Medicine used

A

19

587

B

193

2741

Explanation

The frequencies for various attributes be show in this contingency table

Medicine used

Yes (A)

No (a)

A (B)

(AB)

(aB)

B (b)

(Ab)

(ab)

(i) Yule’s coefficient of association is a relative measure of association between two attributes, for this question the attributes are No-TB and treatment. If (AB), (aB), (Ab)

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