An analysis of monthly wages paid to workers in two firms A and B- belonging to the same industry- gives the following results-Whe -Firm - A-Firm - B INhlineNo- of wage earners-586-648111hline Mean of monthly wages-Rs- 5253-Rs- 5253 - Variance of - the distribution of - wages-100-121lllhline end array iWhich firm spends larger amount as monthly wages-iiWhich firm shows greater variability in individual wages-

(i) Firm A: Number of wage earners (n_1) = 586 Mean of monthly wages (x̅_̅1̅) =Rs. 5253 Total money wages = Rs. 5253 × 586 = Rs. 3078258 Team B: Number of wages ...

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Standard X

Mathematics

Step-Deviation Method of Finding Mean

An analysis o...

Question

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?

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Solution

(i) Firm A: Number of wage earners ( $n_{1}$ ) = 586

Mean of monthly wages $(_{1})$ =Rs. 5253

Total money wages = Rs. 5253 $\times$ 586 = Rs. 3078258

Team B: Number of wages earners ( $n_{2}$ ) = 648

Mean of monthly wages $(_{1})$ = Rs. 5253

Total money wages = 5253 $\times$ 648 = Rs. 3403944

So, Firm B spends larger amount as monthly wages.

(ii) Since, both the firms have same mean wages, so the firm with greater variance will have more variability in individual wages. Thus, firm B will have more variability in individual wages.

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Similar questions

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?

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?

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

$\begin{matrix} Firm A & Firm B Average weekly wages & 586 & 648 Average weekly wages & R s . 52.5 & R s .47 .5 Variance of the distribution of wages & 100 & 121 \end{matrix}$

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

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