Correct Answer: C. taciturn

Explanation

The median is an average which is the middle value when figures are arranged in order of magnitude, e.g. These are the marks obtained by a group of students.

Solution: Rearrange 30, 40, 45, 50, 55, 60, 65, 80, 85. Therefore the median is 55.

Merits of the median are:

(i) Computation is easy.

(ii) Median gives a clear idea of the distribution of the data.

(iii) Median can also be graphically obtained.

(iv) It does not use all the values in the distribution.

(v) Calculation is easy to comprehend or understand.

Demerits of the median are:

(i) Re-arrangement may be cumbersome when large data are involved.

(ii) The data must be well arranged before computation.

(iii) There is limit to its usefulness in statistical calculations.

Explanation

(a) Public limited company is an artificial person created by law to carry on business with the aim of profit maximization. Public limited company is a separate legal entity with right to sue and be sued.

(b) Features distinguishing a public liability company from partnership

Public liability company/ Partnership

1- membership: No upper limit to the number of shareholders/ limited to 20 people

2- perpetual existence: There is continuous existence/ The death of a partner can bring the partnership to an end

3- ownership and control: Shareholders do not take part in the management of thr company/ partners can take part in running the affairs of the partnership

4- Legal entity: company is a separate legal entity/ it is not a separate legal entity

5- Limited liability: It has limited liability/ It has unlimited liability

6- Raising of capital: Company can issue shares to the public/ partners can only raise capital through partners contribution

7- Formation: company secures incorporation by filling the article of association/ partnership is formed by signing the deed of partnership

Correct Answer: B) had doubled

Explanation

The choice that completes the text and conforms to the conventions of Standard English is B) had doubled. By the end of the 1990s, the organization had doubled its initial membership.

Correct Answer: A. \(x^2 + x(m - 2n)-2mn=0\)

Explanation

x = -m \(\implies\) x + m = 0;

x = 2n \(\implies\) x - 2n = 0.

\(\implies (x + m)(x - 2n) = 0\)

\(x^2 + mx - 2nx - 2mn = 0\)

\(x^2 + x(m - 2n) - 2mn = 0\)

Correct Answer: A. acquitted

Correct Answer: A. restricting the scope of participation

Correct Answer: C. financial

Correct Answer: A. boring insects

Explanation

(a) (i) \(\frac{30 + 20 + 50 + 40 + 60 + 40 + 40 + 50 + 20 + 60 + 80 + 40 + 20 + 20 + 70 + 40 + 70 + 30 + 40 + 80}{20}\) = \(\frac{900}{20}\) = 45

Mean income = $4,500

(ii) Modal income = $4,000

(iii) Median Income 20,20,20,20,30,30,40,40,40,40,40,40,50,50,60,60,70.70.80.80

Using middle values = \(\frac{40+40}{2}\) = \(\frac{80}{2}\) Median income = $4,000

(b) Range = $8,000 - $2,000 = $6,000

(c) (i) $90,000 x \(\frac{70}{100}\) = $6,300

(ii) 40+40+40+40+40+40+50+50+60+60+70+70+80+80 = 760

= $76000 x \(\frac{15}{100}\) = $11,400.