1sol - The University of Hong Kong Department of Statistics...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
The University of Hong Kong Department of Statistics and Actuarial Science STAT0302 Business Statistics Semester 2 2008/2009 Assignment 1 Suggested Solution 1. (a) Column chart, pie chart. (b) Frequency table, proportion table. (c) Mean=32.8333 Median= 32.0 Mode= 32.0 Range= 8.1 Standard deviation= 2.1088 Skewness= 1.1855 2. (a) The frequency distribution table: i Class Frequency i f 1 0.05 – 3.05 6 2 3.05 – 6.05 15 3 6.05 – 9.05 23 4 9.05 – 12.05 18 5 12.05 – 15.05 10 6 15.05 – 18.05 8 Total 80 (b) Class mark i x Frequency i f 1.55 6 4.55 15 7.55 23 10.55 18 13.55 10 16.55 8 Total 80 Population mean: 6 1 1 8.8625 ii i xf N = μ == Median= () 31 1 33 3 2 80 2 6 15 6.05 3 8.528261 8.5283 23 i i Nf Lc f = −+ += + × = = Mode= 32 324 23 15 6.05 3 7.8962 2 2 23 15 18 ff fff + × = −− ×−− Population standard deviation: 6 22 1 1 4.158106 4.1581 i N σμ = =− = = 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
STAT0302 Business Statistics Assignment 1 Coefficient of variation: 4.158106 8.8625 0.4692 CV σμ = == Skewness= () ( ) 3 median 3 8.8625 8.528261 0.2411 4.158106 μ σ −× 3. (a) Mean: 6 1 1 8.25 ii i xf N = Median= 60 datum 61 datum 7.5 8.8 8.15 22 th th ++ Mode= 8.8 Variance: 6 2 1 1 2.868167 2.8682 i N = =− Standard deviation: 2.868167 1.6936 (b) Let be the monthly salary after payrise 1.038 Y = X Mean: 1.038 1.038 8.25 8.5635 yx × = Median= Med 1.038Med 1.038 8.15 8.4597 × = Mode= Mod 1.038Mod 1.038 8.8 9.1344 × = Standard deviation: 1.038 1.038 2.868167 1.7579 σσ × = (c) Let be the monthly salary after payrise plus travel expense allowance 1.038 0.25 0.25 ZX Y =+ = + Mean: 0.25 8.5635 0.25 8.8135 zy = + = Median= Med Med 0.25 8.4597 0.25 8.7097 = + = Mode= Mod Mod 0.25 9.1344 0.25 9.3844 = + = Standard deviation: 1.7579 Coefficient of variation: 1.038 2.868167 8.8135 0.1995 zz z CV × = Skewness= ( ) 3 Med 3 8.8135 8.7097 0.1771 1.038 2.868167 z × 4. 57.2 = and 4.9153 = 5.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/06/2009 for the course STAT STAT0302 taught by Professor Prof.chiu during the Spring '09 term at HKU.

Page1 / 6

1sol - The University of Hong Kong Department of Statistics...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online