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Referencing Styles : APA | Pages : 4

### Coefficient of Variation:

What is coefficient of variation of apple stock with mean 415 and variance 910?
B. 45.60 %
C.1375.71%
D.219.27 %

Coefficient of Variation:

To find the standard deviation:  SD= √910= 30.17
( 30.17 /415 x100) %= 7.27

B is wrong since it used incorrect formula and also variance (415/910)*100 = 45.60%
C is wrong since it used incorrect formula but uses standard deviation (415/√910)*100 = 1375.71%
D is wrong since it uses variance instead of SD. (910/415)*100 = 219.27%

### Normal Distribution

The past performance of students in a test is normally distributed with an average mark of 74.9 out of 100 and a standard deviation of 14 marks. Find the percentage of students which would lie between a score of 59 and 89?

B. 97.11%
C. 2.89%
D. 84.31%

Z1 = (59-74.9)/14 = -1.136
P (Z < -1.136) = 0.128
Z2 = (89-74.9)/14 = 1.007
P(Z<1.007) = 0.8431

Hence, requisite probability = 0.8431-0.128 = 71.50%

B. Is wrong since the probability should not be added. (0.8431 + 0.128 = 0.9711)
C. This is wrong since Z1 = (59-74.9)/14 = 1.136. By mistake this has been taken as positive and in this case answer would be 2.89%
D. This is wrong since it does not subtract and instead take only the larger value of 84.31% associated with 89.

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