Home
Class 11
MATHS
The mean and S.D. of the income of the e...

The mean and S.D. of the income of the employers of two banks are as follows:

Compare the coefficient of variation of the income of the employees of the two banks.

Text Solution

Verified by Experts

For bank A
`barx_(1)=3200`
`sigma_(1)=160`
C.V. `=(sigma_(1))/(barx_(1))xx100=160/3200xx100=5`
For bank B
`barx_(2)=3500`
`sigma_(2)=140`
C.V. `=(sigma_(2))/(barx_(2))xx100=140/3500xx100=4`
Hence the coefficient of variation for bank A's employees is more.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|20 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise NCERT QUESTIONS|27 Videos
  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos
  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of variation of 45% and the mean is 12 then find its s.d ?

In the following table, the mean and S.D. of the income of the employees of two factories are given. Find the variability of their average income.

There are exactly 5 people in a bookstore at 12:00 p.m. Each person earns an annual income that is between $ 30,000 and $35,000. No one enters or leaves the bookstroes until 12:15 p.m., when a professional athlete with an annual income of more that $ 1,000,000 enters the bookstore and joins the other 5 people. The mean, median , range and standard deviation of the annual incomes of the 5 people in the bookstore at 12:00 p.m., are calculated and compared to the same 4 statisties of the annual incomes of the 6 people in the bookstore at 12:15 p.m. If it can be determind, which of the 4 statistics changed the least?

A group of 30 employees of Cadre A has a mean age of 27. A different group of 70 employees of Cadre B has a mean age of 23. What is the mean age of the employees of the two group togeters?

Goals scored by two teams A and B in a football season were as follows: By calculating the coefficient of variation in each case find which team may be considered more consistent.

The daily income of a sample of 50 employees are tabulated as follows. Find the mean daily income of employees.

The arithmetic means of two distributions are 20 and 35 and their S.D. are 5 and 7 respectively. Find their coefficient of variation.

Two vessels of different materials are identical in size and wall-thickness. They are filled with equal quantities of ice at 0^(@)C . If the ice melts completely in 10 and 25 minutes respectively, compare the coefficients of thermal conductivity of the materials of the vessels.

The arithmetic means of two distributions are 10 and 15 and their S.D. are 2 and 2.5 respectively. Find their coefficient of variation.

The variation of length of two metal rods A and B with change in temperature is shown in Fig. the coefficient of linear expansion alpha_A for the metal A and the temperature T will be