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From the 3 measures of central tendency, the median would best describe the data set. Although the mean would be essential for minimizing possible errors in estimation, the data is skewed hence, median is the best measure.
Question Two
a) Paired Bar Chart
b) Male employees earn higher salaries compared to the female counterparts in all the divisions. In clerical the median pay for male staff is $ 90,000 versus $50,000 for the females. In managerial and professional categories, the salaries for males vs. female employees are $106,000 vs. $94,000, and $90,000 vs. $ 88,000 respectively.
c) The salaries for male and female staff increases as they climb the professional ladder.
Question Three
a) Scatter Plot
b) Tracing the corresponding x-value for y=25 in the graph, we have x=5.7 minutes.
Question Four
Relative Risk for Obese= 1.5
a) Absolute for Normal= 0.02
But, Relative Error= Absolute/Actual
1.5= x/0.02
=> x= 0.03.
The Absolute risk for obese women is 0.03 or 3%
b) Relative risk= 1.5 implying that it is (1.5*100%) = 150%. The risk of obese women 150% chance of getting cancer compared to women with normal weight.
c) Based on the relative increase in risk of 150%, the cancer should be considered a major risk factor for obese women. They have higher chances of being diagnosed with cancer.
Question Five
Total Area = Area of Triangle 1 + Area of Triangle 2
Area of Triang. 1= 1/2bh = (25*10)/2 = 125 m2
Area of Triang. 2= 1/2bh = (17*7)/2 = 59.5 m2
Total Area = (125 + 59.5) = 184.5 m2
L= 18m, F= 1.1m
12m Formula= [18m – 1.1m + (184.5m) ½]/2.37
=12.861m
Since 12.86m > 12 m, the yatch is not classified as 12m yatch.
Question Six
The total area for pavement is given by the total area of the rectangles
Rectangular 1 = (6*6) = 36m2
Rectangular 2 = (16*2) = 32m2
Rectangular 3 = (4*1.2) = 4.8m2
Rectangular 4 = (6*6) = 36m2
Rectangular 5= (16*6) = 32m2
Total Paving Area = (36+32+4.8+36+32) = 140.8 m2
Paver Area = (0.4*0.4) = 1.6 m2
Cost = $ 5
Delivery Cost = $20 per 100 and Sales tax = 10% of the total cost
Number of pavers= Total paving Area/ Area for a paver = 140.8/ 1.6 = 88 pavers
Cost of pavers = $ (5*88) = $440
Delivery = $20 since 88 is rounded to 100
Total before tax= ($440 + $20) = $ 460
Tax = (10/100) * $460 =46
Total Cost = $ (460 +46)
= $506
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