1. Estimate the standard deviation of the given data on Table1. Since we are dealing with frequency distribution then, we are going to use the class mark (cm) as our X. Hence, the formula for variance is n-1 and for the sample SD, s = Vs? n- 1 2. Estimate the coefficient of variation. CV 100% Table 1. Distribution of astigmatism in 1033 young men age 18-22. Frequency Degree of Astigmatism 0.00-0.10 Class Mark (X,) 0.05 458 0.20 - 0.30 268 0.25 0.40 - 0.50 151 0.45 0.60 - 1.00 79 0.80 1.10 - 2.00 44 1.55 2.10 - 3.00 3.10 - 4.00 19 2.55 3.55 4.10 - 5.00 5.10 - 6.00 4.55 5.55 3 2 1033

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I. Given the Table 1, compute for the following:
1. Estimate the standard deviation of the given data on Table1.
Since we are dealing with frequency distribution then, we are going to use the
class mark (cm) as our X,. Hence, the formula for variance is
n-1
and for the sample SD,
n- 1
2. Estimate the coefficient of variation.
CV = 100%
Table 1. Distribution of astigmatism in 1033 young men age 18-22. *
Frequency
Degree of Astigmatism
0.00 -0.10
Class Mark (X,)
0.05
458
0.20 - 0.30
268
0.25
0.40 - 0.50
0.60 - 1.00
151
0.45
79
0.80
1.10 - 2.00
44
1.55
2.10 - 3.00
19
2.55
3.10 - 4.00
3.55
4.10 - 5.00
3
4.55
5.10 - 6.00
2
5.55
1033
Transcribed Image Text:I. Given the Table 1, compute for the following: 1. Estimate the standard deviation of the given data on Table1. Since we are dealing with frequency distribution then, we are going to use the class mark (cm) as our X,. Hence, the formula for variance is n-1 and for the sample SD, n- 1 2. Estimate the coefficient of variation. CV = 100% Table 1. Distribution of astigmatism in 1033 young men age 18-22. * Frequency Degree of Astigmatism 0.00 -0.10 Class Mark (X,) 0.05 458 0.20 - 0.30 268 0.25 0.40 - 0.50 0.60 - 1.00 151 0.45 79 0.80 1.10 - 2.00 44 1.55 2.10 - 3.00 19 2.55 3.10 - 4.00 3.55 4.10 - 5.00 3 4.55 5.10 - 6.00 2 5.55 1033
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