ICOME
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Measurement of Central Tendency

Theory Formula


Question



Q1. The median of
x/2
, x ,
x/5
,
x/3
is 10, find x .

(a) 26

(b) 25

(c) 24

(d) 27

Solution. c
Arrange in ascending order
x/5
,
x/3
,
x/2
, x

apply the formula
x/3
+
x/2
/2
= 10 ⇒ 5x = 120

x = 24
Solution

Q2. If the difference between mean and mode is 27 , then the difference between mean and median will be

(a) 3

(b) 9

(c) 6

(d) 27

Solution. b
Apply relation

Mean - Mode = 3(Mean - Median)

27 = 3(Mean - Median)

Mean - Median = 9
Solution

Q3. Mean of 10 observations is 7 . If we added -5, in each observation and then divide by 2, the value of new mean is .

(a) 7

(b) 1

(c) 2

(d) -5

Solution. b
1
Solution

Q4. Which of the following result hold for a set of distinct positive observations ?

(a) A.M. ≥ G.M. ≥ H.M

(b) G.M. > A.M. > H.M

(c) G.M. ≥ A.M. ≥ H.M.

(d) A.M > G.M. > H.M.

Solution. d
A.M > G.M. > H.M.
Solution

Q5. An aeroplane flies from A to B at the rate of 500 km/hr and comes back from B to A at the rate of 700km/hr the average speed of the areoplane is :

(a) 600km/hr

(b) 583.33km/hr

(c) 100√(35)km/hr

(d) 620km/hr

Solution. b
583.33km/hr
Solution