An analysis of monthly wages paid to workers in two firms $A and B$ , belonging to the same industry, gives the following results:

Firm $A$ Firm $B$

No.of wage earners $586$ $648$

Mean of monthly wages $R s .5253$ $R s .5253$

Variance of the distribution of wages $100$ $121$

$(i .)$ Which firm $A or B$ pays larger amount as monthly wages?

$(i i .)$ Which firm, $A or B$ , shows greater variability in individual wages?

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Solution

Mean monthly wages of firm $A = R s .5253$
and Number of wage earners in firm $A = 586$
Then,
Total amount paid in firm $A = 586 \times 5253$
Total amount paid in firm $A = R s .3078258$

Mean monthly wages of firm $B = R s .5253$
Number of wage earners in firm $B = 648$
Then,
Total amount paid in firm $B$
$= 648 \times 5253 = R s .3403944$
Thus, firm $B$ pays larger amount as monthly wages than firm $A$ .

For firm $A$ :
Variance $(σ_{A}^{2}) = 100$ (Given)
Standard deviation $(σ_{A}) = \sqrt{Variance}$
$\Rightarrow (σ_{A}) = \sqrt{100}$
$\Rightarrow (σ_{A}) = 10$
For firm $B :$
Variance $(σ_{B}^{2}) = 121$ (Given)
Standard deviation $(σ_{B}) = \sqrt{Variance}$
$\Rightarrow (σ_{B}) = \sqrt{121} = 11$

Since, mean in both the firms is same i.e., $5253$ , the plant with greater standard deviation will have more variability.

Therefore, the plant $B$ has greater variability in the individual wages.

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Q. An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results: Firm A Firm B No. of wage earners 586 648 Mean of monthly wages Rs 5253 Rs 5253 Variance of the distribution of wages 100 121 (i) Which firm A or B pays larger amount as monthly wages? (ii) Which firm, A or B, shows greater variability in individual wages?

An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results.

Firm A Firm B

No. of wage earners 586 648

Mean of monthly wages Rs 5253 Rs 5253

Variance of the distribution of wages. 100 121

(i) which firm A or B pays larger amount as monthly wages ?

(ii) which firm A or B, shows greater variability in individual wages ?

An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:

	Firm A	Firm B
No. of wage earners	586	648
Mean of monthly wages	Rs 5253	Rs 5253
Variance of the distribution of wages	100	121

(i) Which firm A or B pays larger amount as monthly wages?

(ii) Which firm, A or B, shows greater variability in individual wages?

An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:

$\begin{matrix} F i r m A & F i r m B N o . o f w a g e e a r n e r s & 586 & 648 M e a n o f m o n t h l y w a g e s & R s . 5253 & R s . 5253 V a r i a n c e o f t h e d i s t r i b u t i o n o f w a g e s & 100 & 121 \end{matrix}$

(i)Which firm spends larger amount as monthly wages?

(ii)Which firm shows greater variability in individual wages?

Q. An analysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results:

	Firm A	Firm B
No. of wage earners	586	648
Average weekly wages	Rs 52.5	Rs. 47.5
Variance of the distribution of wages	100	121

(i) Which firm A or B pays out larger amount as weekly wages?
(ii) Which firm A or B has greater variability in individual wages?

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	Firm $A$	Firm $B$
No.of wage earners	$586$	$648$
Mean of monthly wages	$R s .5253$	$R s .5253$
Variance of the distribution of wages	$100$	$121$