Q1. A sample of 200 customers in the Mardowins Centre were surveyed to age they

Question

Q1. A sample of 200 customers in the Mardowins Centre were surveyed to age they were, with the following results, 10 Marks Age of the Customer (Years) Number of Customers 0 and under 10 10 and under 20 20 and under 30 10 20 30 30 and under 40 10 and under 50 50 and under 60 60 and under 80 40 20 20 o) Calculate the Mean and Standard Deviation of the ages of the cu From the table, what is the minimum number of customers who aged younger than the Mean age? (ii) Calculate the Mode value of the ages of the customers. (ii) Construct the Ogive for the data and use it to estimate the numbe r of customers who were aged over 45 years old. Also estimate the Inter-Quartile Range of the ages of the customers 2. A sample of 200 people were surveyed to find out how much time they had spent watching television during a particular week, with the following results, 110 Marks Number of people 10 40 60 30 30 10 20 Time watching television ( hours ) 0 and under 10 10 and under 20 20 and under 30 30 and under 40 40 and under 50 50 and under 60 60 and under 80 Calculate the Mean and Standard Deviation of the time spent watching television during the week. (i) (ii) Calculate the Median time spent watching television by the people. (ii) Construct the Ilistogram for the data, and use it to estimate the Mode tinie spent watching television. Pag Business Mathematics

Explanation / Answer

According to company policies, I am answering question 1 only.

Q3)

slope, b1=
{n*sum(xy) - sum(x)*sum(y)} / {n*sum(x^2) - [sum(x)]^2 }
{8*9000 - 150*545} / {8*3600 - [150]^2 }
-1.5476

intercept, bo=
{sum(y)*sum(x^2) - sum(x)*sum(xy)} / {n*sum(X^2) - [sum(X)]^2}
{545*3600 - 150*9000} / {8*3600 - [150]^2}
97.1429

regression equation:
y = bo + b1*x
y = 97.1429 + -1.5476*x

when x= 22
yhat= =97.1429+-1.5476*22
63.0957

Q5)

corr coef, r =
{n*sum(XY) - sum(X)*sum(Y)} / { sqrt(n*sum(x^2)-[sum(x)]^2) * sqrt(n*sum(y^2)-[sum(y)]^2) }
{8*1208-100*117} / { sqrt(8*1552-[100]^2) * sqrt(8*1945-[117]^2) }
-0.9576

X Y x^2 y^2 xy 20 70 400 4900 1400 25 55 625 3025 1375 5 90 25 8100 450 30 50 900 2500 1500 35 45 1225 2025 1575 15 70 225 4900 1050 10 80 100 6400 800 10 85 100 7225 850

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