Measures of Central Tendency

Question

Following is the height of 10 students:

Students

A

B

C

D

E

F

G

H

I

J

Height (cm)

155

153

168

160

162

166

164

180

157

165

Calculate arithmetic mean by using direct and short cut method.

Answer

(a) Calculation of arithmetic mean by direct method:

Students

Height (c.m.)

A

B

C

D

E

F

G

H

I

J

155

153

168

160

162

166

164

180

157

165

N= 10

Σ = 1630

(b) Calculation of arithmetic mean by indirect method :

Students

Height (c.m.)
X

d
(X-)

A

B

C

D

E

F

G

H

I

J

N= 10

155

153

168

160

162

166

164

180

157

165

-5

-7

+ 8

+ 0

+ 2

+ 6

+ 4

+ 20

-3

+ 5

Σ d = 30

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