CAT 1 ANSWERS
S
1. C .V 100
X
5 . 60
C .V A 100 12 . 14 % (1 mark)
19 . 50
5 .67
C .V B 100 7 . 304 % (1 mark)
32 . 60
7 . 20
C .V C 100 11 . 98 % (1 mark)
22 . 40
Company B. (1 mark)
It is more consistent (Has lower C.V) (1 mark)
2. A4
1/ 1, 2/ 20 and 3/ 40
1/ X A X 4
1 X 4 X 5 (2 marks)
Variance 2 2/ ( 1/ ) 2 20 12 19 (2 marks)
3 3/ 31/ 2/ 2( 1/ ) 3 40 3(1)( 20 ) 2(1) 3 18 (2 marks)
3( mean median )
3. Coefficient of skewness
3( 900 25)
50 3 . 5 (1 mark)
6
The distribution is negatively skewed or left skewed. (1 mark)
1
4. Geometric mean (12 .3 12 .1 12 .2 12 .3 12 .4) 5
12 .26 (1 mark) (1 mark)
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S
1. C .V 100
X
5 . 60
C .V A 100 12 . 14 % (1 mark)
19 . 50
5 .67
C .V B 100 7 . 304 % (1 mark)
32 . 60
7 . 20
C .V C 100 11 . 98 % (1 mark)
22 . 40
Company B. (1 mark)
It is more consistent (Has lower C.V) (1 mark)
2. A4
1/ 1, 2/ 20 and 3/ 40
1/ X A X 4
1 X 4 X 5 (2 marks)
Variance 2 2/ ( 1/ ) 2 20 12 19 (2 marks)
3 3/ 31/ 2/ 2( 1/ ) 3 40 3(1)( 20 ) 2(1) 3 18 (2 marks)
3( mean median )
3. Coefficient of skewness
3( 900 25)
50 3 . 5 (1 mark)
6
The distribution is negatively skewed or left skewed. (1 mark)
1
4. Geometric mean (12 .3 12 .1 12 .2 12 .3 12 .4) 5
12 .26 (1 mark) (1 mark)
Page 1 of 3