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Averages

Theory and Formula



Question



Q1. Which one is not a positional average .

(a) Quantiles

(b) Mode

(c) Median

(d) G.M

Solution. d
G.M
Solution

Q2. In a data there are 90 observation and each observation is equal to 45. Find its G.M .

(a) 45

(b) 90

(c) 100

(d) 60

Solution.a
If the value of all the observations are equal , G.M will be equal to its observation value.

This concept is applicable for A.M and H.M also
Solution

Q3. If geometric mean of variable x is 25 and that of variable y is 5 . If a variable z is defined as z = (x) . (y) then what is geometric mean of z ?

(a) 5

(b) 125

(c) 25

(d) 50

Solution. b
G.M of z = (G.M of x). (G.M of y)
Solution

Q4. What is the geometric mean of 31 , 32 , 33 ------------ 3n ?

(a) 3(n+1/2)

(b) 3n

(c) 3n+1

(d) 3

Solution. a
G.M = ( 31 , 32 , 33 ------------ 3n)1/n

= ( 31+2+3+-----+n )1/n

= {3[n(n+1)/2]}1/n

= 3(n+1/2)
Solution

Q5. If geometric mean of variable x is 100 and that of variable y is 25 . If a variable z is defined as z =
x/y
then what is geometric mean of z ?

(a) 5

(b) 4

(c) 3

(d) 2

Solution. b
G.M of y =
G.M of x/G.M of y
Solution