The following results show the number of workers and the wages paid to them in two factories A and B of the same industry.
The following results show the number of workers and the wages paid to them in two factories A and B of the same industry.
(i) Which firm pays a larger amount as monthly wages?
(ii) Which firm shows greater variability in individual wages?
(i) Both the factories pay the same mean monthly wages.
For factory A there are 560 workers. And for factory B there are 650 workers.
So, factory A totally pays as monthly wage $=(5460 \times 560)$ Rs. $=3057600 \mathrm{Rs}$.
Factory B totally pays as monthly wage $=(5460 \times 650)$ Rs. $=3549000 \mathrm{Rs}$.
That means, factory B pays a larger amount as monthly wages.
(ii) Mean wages of both the factories are the same, i.e., Rs. 5460 .
To compare variation, we need to find out the coefficient of variation (CV).
We know, CV = $\frac{\mathrm{SD}}{\text { Mean }} \times 100$ where SD is the standard deviation.
The variance of factory $A$ is 100 and the variance of factory $B$ is 121 .
Now, SD of factory A =
$\sqrt{100}=10$
And, SD of factory B =
$\sqrt{121}=11$
Therefore,
The $C V$ of factory $A=$
$\frac{10}{5460} \times 100=.183$
The $\mathrm{CV}$ of factory $\mathrm{B}=$
$\frac{11}{5460} \times 100=.201$
Here, the $C V$ of factory $B$ is greater than the $C V$ of factory $A$.
Hence, factory B shows greater variability.
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,