The table below shows data for 40 worker's weekly hours worked.

Number of hours worked	Frequency
10-19	9
20-29	10
30-39	14
40-49	7

Use the data from the table to calculate an estimate for the:

i. mean

ii. variance and standard deviation

iii. median

iv. mode

A research agricultural company investigated the use of a particular fertiliser (in cm3 ) on the mass of a pumpkin (in g) and recorded their results in the table below.

Fertilizer (cm3 ) - x	3	2	4	1	2	5	4
Pumpkin (kg) - y	5	5	6	2	4	8	7

A. Find , , , ² and ²

B. i. Compute the product moment correlation

ii. Interpret your result

C. i. Determine the coefficient of determination

ii. Interpret your result

D. Find the LEAST squares regression equation.

E. What would be the mass of the pumpkin in kg when 6cm3 of fertilizer is used?

The probability distribution for the number of Customer per day at the Sunset Spa is shown below:

Number of Customers(X)	40	41	42	43	44
Probability P(X)	0.1	0.20	3b	0.21	0.12

Determine the:

i. value of b

ii. probability that at least 42 customers will be in the diner per day

iii. mean of the distribution

iv. variance and standard deviation of the distribution

B. A survey shows that 4% of automobile radiators are defective, 500 automobiles were examined, determine from the sample the:

i. mean

ii. variance

iii. standard deviation