Question

coefficient of variation of a distribution is 70 and its standard deviation is 16 what is arithmetic mean​

Answer 1

Answer:

Step-by-step explanation:

CV=(SD/AM)×100

70=(1600/AM)

AM=1600/70

=22.8

Answer 2

Coefficient of variation of a distribution is 70 and its standard deviation is 16 then the arithmetic mean​ is 22.86

• Let the arithmetic mean be m. Now we have to find the value of m from the relation between arithmetic mean and standard deviation.
• Now it is given coefficient of variation as 70 and standard deviation 16.
• Now we know $70=\frac{16*100}{m}$ as coefficient of variation = $\frac{standard deviation}{arithmetic mean}*100$
• So m = $\frac{16*100}{70} = 22.86$
• Hence the value of arithmetic mean is nearly equal to 22.86.