Class Interval 3−5 6−8 9−11 Frequency 2 2 2 . Find the standard deviation of the above distribution.

Assessment: JAMB UTME - Mathematics - 2011 Subject: General Mathematics

Question 1 Report

Class Interval 3−5 6−8 9−11
Frequency 2 2 2

.

Find the standard deviation of the above distribution.

Answer Details
Class Interval 3 − 3 6 − 8 9 − 11 x 4 7 10 f 2 2 2 f − x 8 14 20 | x − x ¯ | 2 9 0 9 | x − x ¯ | 2 18 0 18
x ¯  =  ∑ f x ∑ f
=  8 + 14 + 20 2 + 2 + 2
=  42 6
x ¯  = 7
S.D =  ∑ f ( x − x ¯ ) 2 ∑ f
=  18 + 0 + 18 6
=  36 6
= 

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