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QUESTION1: part(a) and part (b): Boxplots:

C onclusion: Living Area: 1. Center: The median living area is 635.5 sqFt. About 50% of living area is less than 635.5sqFt and other 50% is more than 635.5 sqFt. 2. Spread : The living area range from 576 sqFt(min) and 694 sqFt(max). About middle 50% of the living area is between 605.8 sqFt (Q1) and 665.2 sqFt(Q2). 3. Outliers: No outliers observed.

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Strata Fee: 1. Center: The median strata fee per sqrt is $0.7091. About 50% of strata fee per sqrt is less than $0.7091 and other 50% is more than $0.7091. 2. Spread : The strata fee per sqrt range from $0.2314 (min) and $1.3384(max). About middle 50% of strata fee per sqrt is between $0.6101 and $0.8630. 3. Outliers: Two strata fees are extremely high. Question 2 [10 marks] – Perhaps you are the realtor. You have a client having three apartments. - The first apartment is less than 600 square feet. - The second apartment is between 700 and 800 square feet and - the third apartment is over 1000 square feet. This client wants to sell one of the three apartments as quickly as possible. Which apartment will you suggest selling? Explain. You must provide some relevant statistics and graphs to support your explanation (or present your client). Answer: Looking at the data, I will suggest client to sell apartment whose size is between 700 and 800. As it is appropriate for families , they can have more space at moderate price. On the other hand , small apartment will have less space and large apartments will be expensive. As distribution of strata fee is normal, apartments between 700 and 800 sqft will be in high demand. Because of moderate space and price.

Question 3 – Divide apartments into three categories: (a) Conduct an appropriate hypothesis test to determine whether there is a relationship between whether the apartments were sold within 21 days and its year built in the population. Solution: 1) Null Hypothesis(Ho) : There is no relationship between whether the apartments were sold within 21 days and its year built in the population of all apartments in North Vancouver. Alternative Hypothesis (Ha): There is a relationship between whether the apartments were sold within 21 days and its year built in the population of all apartments in North Vancouver. 2) Two-way Table: Expected numbers: Table Sold with 21 days Year Total 2000 or before 2001-2018 After 2018 No 19.6 22.4 6 48 Yes 29.4 33.6 9 72 Total 49 56 15 120 3.Calculating Chi- Square Statistic:

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Chi-Sq contribution Year 2000 or before 2001-2018 After 2018 No 0.00816326531 0.0875 0.16666667 Yes 0.00544217687 0.0583333333 0.111111111 Chi−Square Statistic( 𝝌 𝟐 ) = 0.962216845~ 0.96 4. Conclusion: Degree of freedom = 2 Since chi square statistic (0.96) is less than decision point (5.991). We don’t reject Ho. Therefore, the sample data do not provide sufficient evidence to conclude there is a relationship between built year and sold with 21 days in the population of all apartments in North Vancouver. 5. Condition: Sample size is 120(>5). Therefore, valid conclusion. ( b) Compare the selling price per square feet among three groups of apartments (year built before 2000, year built between 2000 and 2018, and year built after 2018).

Summary: Center: 2000 or Before: The median selling price per sqft is $912.6. About 50% of selling price per sqft is less than $807 and other 50% is more than $1105.7. 2001-2018: The median selling price per sqft is $1211.3. About 50% of selling price per sqft is less than $1044.8 and other 50% is more than $1334.1. After 2018: The median selling price per sqft is $1402.3. About 50% of selling price per sqft is less than $1193.7 and other 50% is more than $1695.3. 2. Spread :

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2000 or Before: The selling price per sqft range from $600.3(min) and $1657.8(max). About middle 50% of the living area is between $807 (Q1) and 1105.7(Q3). 2001-2018: The selling price per sqft range from $708.5(min) and $2237(max). About middle 50% of the living area is between $1044.8 (Q1) and 1334.1(Q3). After 2018: The selling price per sqft range from $855.6(min) and $3445.5(max). About middle 50% of the living area is between $1193.7(Q1) and 1695.3(Q3). 3. Outliers: 2000 or Before = 1 outlier 2001– 2018 = 6 outliers After 2018 – 2 outliers. Question 3 – First, we divide the apartments into two groups by the number of bedrooms. a. In the first group, the apartments have zero or one bedroom. b. In the second group, the apartments have two or three bedrooms. Finally, we compare the selling price between the first group and second group of apartments. You must - provide appropriate statistics / graph(s) to summarize the data and - write an appropriate summary.

1. Describing distribution: 0 or 1 Bedroom : normal 2 or 3 Bedroom : skewed to the left. 2. Comparing the center between two distributions Median of 2 or 3 bedroom condos is higher than the other. It shows selling price of 2 0r 3 bedroom is higher than 0 0r 1 bedroom condos. 3 . Comparing the spread between two distributions :

As IQR is higher in 2 0r 3 bedroom apartments, It shows that selling price varies more in 2 or 3 bedroom apartments. 4. outliers: Only 1 condo lie outside the range of selling price in 2 or 3 bedroom condos. 5 condos lies outside the range of selling price in 1 bedroom apartment. Conclusion Selling price of 2 or 3 bedroom apartments is more than 1 bedroom and it shows more variations as well.

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