Question

The current share prices for a sample of 10 stocks listed on the New York Stock Exchange are given below.

$9.42, $18.25, $15.28, $10.63, $29.06, $7.63, $26.10, $20.15, $23.80, $24.38

a. Calculate the range for the above set of share prices. Round your answer to two decimal places. Range = ???dollars

b. Calculate the sample variance for the above set of share prices. Sample variance = ?????dollars^2

c. Calculate the sample standard deviation for the above set of share prices. Sample standard deviation =?????? dollars

d. Compute the mean absolute deviation for the above set of share prices. Mean absolute deviation = ???? dollars

e. Compute the coefficient of variation for the above set of share prices. Coefficient of variation = ???? %

Answer 1

a. First to arrange the given observations in increasing order

7.63
9.42
10.63
15.28
18.25
20.15
23.8
24.38
26.1
29.06

Range = Largest observation - Smallest observation = 29.06 - 7.63 = $21.43

b.  

	9.42	81.9025	9.05
	18.25	0.0484	0.22
	15.28	10.1761	3.19
	10.63	61.4656	7.84
	29.06	112.1481	10.59
	7.63	117.5056	10.84
	26.1	58.2169	7.63
	20.15	2.8224	1.68
	23.8	28.4089	5.33
	24.38	34.9281	5.91
Total	184.7	507.6226	62.28

The sample variance for the above set of share prices is ,

Therefore , sample variance = 56.40 Doller^2

c. The sample standard deviation for the above set of share prices is ,

Therefore , sample standard deviation = $7.51

d. The mean absolute deviation for the above set of share prices is ,

Therefore , Mean absolute deviation = $6.23

e. The coefficient of variation for the above set of share prices is ,