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CBSE Class 11-commerce Answered

Calculate Q1 and Q3  class- 0-5, 5-10,10-15,15-20 frequency- 4,6,8,12
Asked by sushmapatidar10.sp86 | 08 Sep, 2019, 11:30: PM
answered-by-expert Expert Answer

Class

Frequency

Cumulative frequency (cf)

0-5

4

4

5-10  (Q1)

6

10

10-15

8

18

15-20 (Q3)

12

30

 

N= 30

 
 
 
Q 1 equals space S i z e space o f space open square brackets table row N row 4 end table close square brackets space t h space i t e m space space space space equals space open square brackets table row 30 row 4 end table close square brackets space equals space 7.5
 
Q 1 space equals space fraction numerator l 1 plus begin display style N over 4 end style minus C f over denominator f end fraction X space i space space space space space space space equals space 5 plus fraction numerator 30 minus 4 over denominator 6 end fraction X space 5 space space space space space space space equals space 5 plus fraction numerator 7.5 minus 4 over denominator 6 end fraction X space 5 space space space space space space space space equals 5 space plus space 2.915 Q 1 space equals space 7.915
 
 
Please find Q3 as follows:

3 open square brackets table row N row 4 end table close square brackets 
Q 3 space equals space fraction numerator l 1 plus begin display style 3 N over 4 end style minus C f over denominator f end fraction X space i Q 3 space equals space 16.45
Answered by Christina | 09 Sep, 2019, 04:57: PM
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